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International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 406
Kinetic Study of Banana Stalk Ash Assisted
Bioremediation of Crude-oil Contaminated Soil
Based on Biomass Growth1*
Osoka, E.C., 2
Kefas, H.M., 3
Igboko, N., 4
Anyikwa, S.O.
1,3,4
Department of Chemical Engineering, Federal University of Technology, Owerri, Nigeria
2
Department of Chemical Engineering, Moddibo Adama University of Technology, Yola, Nigeria
----------------------------------------************************----------------------------------
Abstract:
This work studies the kinetics of bioremediation of Crude Oil contaminated soil using banana stalk ash as a bio-stimulant, by studying
the kinetics of biomass growth and nature of yield. Twelve samples of soil contaminated with 20g to 60g of Crude oil and with 0g to 60g of
banana stalk ash added as bio-stimulant were studied based on the total petroleum hydrocarbon. The experimental data obtained were fit to
four models based on biomass growth kinetics and yield using the Curve-fitting toolbox of MATLAB software and compared based on their
adjusted R-square. The analysis of the results reveal that the biomass growth follows the logistic growth model with varying yield for all
twelve experiments, with or without addition of bio-stimulant, to an accuracy of more than 99% thus making it the model of choice for
explaining banana talk ash assisted bioremediation.
Keywords — bioremediation, banana stalk ash, biomass growth, yield, kinetics, bio-stimulant
----------------------------------------************************----------------------------------
I. INTRODUCTION
Petroleum hydrocarbons represent a complex mixture of
organic compounds mainly grouped into four fractions:
alkenes, aromatics, resins and asphaltenes [1]. Hydrocarbon
pollution of the environment has remained a major challenge
for man over the years and has been escalating in proportions
with increase in industrial activities. Such pollutions are
usually occasioned by human error, equipment failure,
vandalism, wars and natural disasters. Prominent among the
deleterious effects of such pollutions on land is the destruction
of natural flora and fauna thereby ultimately reducing the
capacity of the ecosystem to support life. Several techniques
have been developed over the years to combat this menace.
These techniques are grouped broadly into two namely; In-situ
methods (such as leaching or washing, isolation and
containment, volatilization, bioremediation and passive
bioremediation) and Ex-situ methods (such as incineration,
solidification and stabilization, soil washing, and land farming)
[2]. Bioremediation is the use of living microorganisms to
breakdown or degrade petroleum hydrocarbon into harmless
products such as CO2 and H2O. Microorganisms have been
known to degrade hazardous compounds considered
recalcitrant and resistant to biodegradation. Bioremediation
has several advantages which include: cost effectiveness,
environmental friendliness, simplicity in technology,
conservation of soil texture and properties and its ability to
produce harmless end products. This is contrary to other
physical and chemical treatment methods whose limitations
include; transfer of pollutants from one place/phase to another
and being a complex technology and expensive to implement
at full scale [3]. Due to the limitations of the physiochemical
technologies stated above, great deal of literature has reported
bioremediation as an alternative and/or supplement to these
methods. Bioremediation of crude oil-contaminated soil can
be carried out naturally (natural attenuation), or by the use of
nutrients (organic or inorganic fertilizers); by the use of
chemicals; or through mechanical means. Literature is rife
with research works in the use of organic or inorganic
fertilizers to enhance bioremediation [4]-[12].This study
incorporates kinetic studies of laboratory experiments on
crude oil contaminated soil by testing the effectiveness of
bioremediation on crude-oil contaminated soil (based on Total
Petroleum Hydrocarbon) using banana stalk ash (BSA) as
substrate/bio-stimulant under aerobic conditions.
II MATERIALS AND METHODS
Materials: Crude oil, Banana stalk Ash (NPK 2.34/49/0.4),
Soil sample, Chloroform, Distilled water.
Apparatus: Jenway UV-VIS Spectrophotometer (AAS), Sieve
(mesh size: 0.3mm), Electronic weighing balance (ZL
200630014473.3), Digital thermometer, Measuring cylinder,
Beaker, Conical flask, Oven (4824213), Spatula, Plastic
bucket, PH meter, Stirrer, Stove, Sample bottles.
Preparation of Banana Stalk Ash: Banana stalk Ash collected
from Jimeta (Yola North L. G. A., Nigeria) was crushed,
sieved and dried in an oven for ninety minutes at a
temperature of 200o
C.
CRUDE OIL CONTAMINATED SOIL SAMPLES
PREPARATION
Twelve 2.0-liter plastic buckets were labeled M to X and
1000g of soil was weighed and added to each of the twelve
buckets. Crude oil was weighed and added to each of the soil
RESEARCH ARTICLE OPEN ACCESS
International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019
Available at www.ijsred.com
ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 407
samples as follows: 20g of the sample was added to M,P,S,V;
40g was added to N,Q,T,W and 60g was added to O,R,U,X.
Oil was added to the content of the buckets and were mixed
properly and kept in a room, away from rain, sunlight, and
direct climatic influence. Ten days after the pollution of the
soil samples, the samples were tilled for one minute each to
allow aeration. The crude oil used was procured from Kaduna
refinery, Kaduna, Nigeria. The sample from each bucket was
allowed for 2 weeks after which each set of contaminated soil
sample were collected in sample bottles for analysis of total
petroleum hydrocarbon (TPH) before ash was added.
Banana stalk ash was added to samples as follows: 0g of
(BSA) was added to (M,N,O), 20g of the samples was added
to (P,Q,R), 40g was added to (S,T,U) and 60g of the sample
was added to (V,W,X). Each sample was tilled for one minute
every 24 hours and analyzed every two weeks for eight weeks
to determine the total petroleum hydrocarbon (TPH). This
method was adopted from [6] and presented in Table 1.
TABLE 1: QUANTITIES OF CRUDE OIL CONTAMINATION AND
BANANA STALK ASH IN SOIL SAMPLES M TO X
Quantity of Crude Oil
Quantity
of Ash
20g 40g 60g
0g M N O
20g P Q R
40g S T U
60g V W X
Measurement of Total Petroleum Hydrocarbon (TPH)
3g of each sample was taken into a conical flask and 40 ml of
measured chloroform was added to sample bottles labeled M
to X and the sample was tightly closed and shaken vigorously
for proper mixing of the content and allowed to stand for
seven hours to enable complete extraction of oil by the
chloroform. After 24 hours each of the samples was decanted
and a clear liquid was obtained and transferred into a fresh
sample bottles and the volume made up to 50 ml utilizing
chloroform. The clear liquid was poured gently into the beaker
and placed on the heating mantle for evaporation at 400
C. The
beaker was weighed after cooking to determine the oil content
[13]. The UV- vis spectrophotometer was standardized using
chloroform blank with wavelength at 290nm and the results
obtained were measured in g/kg.
Models Based on Biomass Growth
Reference [4] based on certain assumptions were able to
develop some models which were fitted to experimental data
from NPK fertilizer enhanced bioremediation. The models
include:
If Microbial growth is exponential and yield is constant:
= 	 + (1 − e )	 (1)
If Microbial growth is exponential and yield is not
constant:
= 	( ) (2)
If microbial growth is Logistic growth with constant
yield:
= 	 		 + 1 − ( )
(3)
If microbial growth is Logistic growth with yield not
constant:
	 = 	( ( )
) (4)
Where, 	 = substrate concentration TPH, (g/kg), =
Initial substrate concentration (initial TPH), ! = Initial
microbial concentration, YG = Yield coefficient, µ = Specific
growth rate of the microbes, " = Inverse of the maximum
microbial concentration, t = Time (weeks)
Equations 1, 2, 3 and 4 will be used to fit the experimental
data and the model with the best fit (based on the adjusted R-
square) will be considered the model that best describes the
biomass growth rate and associated yield, with respect to the
bioremediation process.
III RESULTS AND DISCUSSIONS
Experimental results from the study of the twelve samples
were fit to the four kinetic models based on biomass growth
rate and yield kinetics (equation 1 to equation 4), to determine
the kinetics of the biomass growth and yield and hence the
kinetics of the bioremediation process. The graphical fit
results (Figure 1) for the experiment on soil contaminated
with 20g of Crude Oil, without any bio-stimulant added
(sample M) shows that the bioremediation fits well to logistic
growth with constant yield and logistic growth with varying
yield. The numerical fit results of the same experimental data
(Table 2) reveal that logistic growth with varying yield has the
overall best fit with adjusted r-squared of 0.9894 (r-squared of
0.9947) as against adjusted r-squared of 0.9729 (r-squared of
0.9865) for logistic growth with constant yield. The model for
logistic growth with varying yield thus explains more that 99%
of the experimental results performed for sample M, as model
with the best fit.
The graphical fit results (Figure 2) for the experiment on soil
contaminated with 20g of Crude Oil, with 20g of bio-
stimulant added (sample P) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 3) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9897 (r-squared of 0.9948) as against adjusted r-squared of
0.9707 (r-squared of 0.9854) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99% of the results from experiment for
sample P, as model with the best fit.
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Fig. 1: Fit for 0g ash and 20g Crude oil (M)
Fig. 2: Fit for 20g ash and 20g Crude oil (P)
TABLE 2: FIT DATA FOR 0g ASH AND 20g CRUDE OIL (M)
Model R2
Adj-R2
Exponential growth,
constant yield
0.5712 0.4283
Exponential growth,
varying yield
-3.738 -3.738
Logistic growth,
constant yield
0.9865 0.9729
Logistic growth,
varying yield
0.9947 0.9894
The graphical fit results (Figure 3) for the experiment on soil
contaminated with 20g of Crude Oil, with 40g of bio-
stimulant added (sample S) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield.
The numerical fit results of the same experimental data (Table
4) reveal that logistic growth with varying yield has the
overall best fit with adjusted r-squared of 0.9801 (r-squared of
0.9900) as against adjusted r-squared of 0.9578 (r-squared of
0.9789) for logistic growth with constant yield. The model for
logistic growth with varying yield thus explains more that 99%
of the results from the experiment for sample S, as model with
the best fit.
TABLE 3: FIT DATA FOR 20g ASH AND 20g CRUDE OIL
The graphical fit results (Figure 4) for the experiment on soil
contaminated with 20g of Crude Oil, with 60g of bio-
stimulant added (sample V) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 5) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9932 (r-squared of 0.9966) as against adjusted r-squared of
0.9815 (r-squared of 0.9908) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.6% of the results from the experiment
for sample V, as model with the best fit.
The graphical fit results (Figure 5) for the experiment on soil
contaminated with 40g of Crude Oil, without any bio-
stimulant added (sample N) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 6) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9971 (r-squared of 0.9986) as against adjusted r-squared of
0.9914 (r-squared of 0.9957) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.8% of the results for sample N, as
model with the best fit.
Fig. 3: Fit for 40g ash and 20g Crude oil (S)
0 1 2 3 4 5 6 7 8
4
6
8
10
12
14
16
18
20
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
S vs. t
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
0 1 2 3 4 5 6 7 8 9
2
4
6
8
10
12
14
16
18
20
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
S vs. t
Exponetial growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
0 1 2 3 4 5 6 7 8
2
4
6
8
10
12
14
16
18
20
22
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
S vs. t
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic model, varying yield
Model R2
Adj-R2
Exponential growth,
constant yield
0.5214 0.3619
Exponential growth,
varying yield
-3.806 -3.806
Logistic growth,
constant yield
0.9854 0.9707
Logistic growth,
varying yield
0.9948 0.9897
International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019
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Fig. 4: Fit for 60g ash and 20g Crude oil (V)
TABLE 4: FIT DATA FOR 40g ASH AND 20g CRUDE OIL (S)
Model R2
Adj-R2
Exponential growth,
constant yield
0.5020 0.3360
Exponential growth,
varying yield
-3.818 -3.818
Logistic growth,
constant yield
0.9789 0.9578
Logistic growth,
varying yield
0.9900 0.9801
TABLE 5: FIT DATA FOR 60g ASH AND 20g CRUDE OIL (V)
Model R2
Adj-R2
Exponential growth,
constant yield
0.3892 0.1856
Exponential growth,
varying yield
-3.924 -3.924
Logistic growth,
constant yield
0.9908 0.9815
Logistic growth,
varying yield
0.9966 0.9932
The graphical fit results (Figure 6) for the experiment on soil
contaminated with 40g of Crude Oil, with 20g of bio-
stimulant added (sample Q) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 7) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9969 (r-squared of 0.9984) as against adjusted r-squared of
0.9919 (r-squared of 0.9959) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.8% of the results from the experiment
for sample Q, as model with the best fit.
The graphical fit results (Figure 7) for the experiment on soil
contaminated with 40g of Crude Oil, with 40g of bio-
stimulant added (sample T) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 8) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9968 (r-squared of 0.9984) as against adjusted r-squared of
0.9916 (r-squared of 0.9958) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.8% of the results from the experiment
for sample T, as model with the best fit.
Fig. 5: Fit for 0g ash and 40g Crude oil (N)
Fig. 6: Fit for 20g ash and 40g Crude oil (Q)
TABLE 6: FIT DATA FOR 0g ASH AND 40g CRUDE OIL (N)
Model R2
Adj-R2
Exponential growth,
constant yield
0.3333 0.1111
Exponential growth,
varying yield
-3.958 -3.958
Logistic growth,
constant yield
0.9957 0.9914
Logistic growth,
varying yield
0.9986 0.9971
0 1 2 3 4 5 6 7 8
0
2
4
6
8
10
12
14
16
18
20
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
S vs. t
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
0 1 2 3 4 5 6 7 8
0
5
10
15
20
25
30
Time (weeks)TotalPetroleumHydrocarbon(g/kg)
TPH vs. time
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
0 1 2 3 4 5 6 7 8
0
5
10
15
20
25
30
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
TPH vs. time
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
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TABLE 7: FIT DATA FOR 20g ASH AND 4g CRUDE OIL (Q)
Model R2
Adj-R2
Exponential growth,
constant yield
0.3270 0.1027
Exponential growth,
varying yield
-3.960 -3.960
Logistic growth,
constant yield
0.9959 0.9919
Logistic growth,
varying yield
0.9984 0.9969
The graphical fit results (Figure 8) for the experiment on soil
contaminated with 40g of Crude Oil, with 60g of bio-
stimulant added (sample W) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 9) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9989 (r-squared of 0.9994) as against adjusted r-squared of
0.9944 (r-squared of 0.9972) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.9% of the experimental results for
sample W, as model with the best fit.
Fig. 7: Fit for 40g ash and 40g Crude oil (T)
Fig. 8: Fit for 60g ash and 40g Crude oil (W)
TABLE 8: FIT DATA FOR 40g ASH AND 40g CRUDE OIL (T)
Model R2
Adj-R2
Exponential growth,
constant yield
0.3258 0.1011
Exponential growth,
varying yield
-3.961 -3.961
Logistic growth,
constant yield
0.9958 0.9916
Logistic growth,
varying yield
0.9984 0.9968
TABLE 9: FIT DATA FOR 60g ASH AND 40g CRUDE OIL (W)
Model R2
Adj-R2
Exponential growth,
constant yield
0.3203 0.09368
Exponential growth,
varying yield
-3.965 -3.965
Logistic growth,
constant yield
0.9972 0.9944
Logistic growth,
varying yield
0.9994 0.9989
The graphical fit results (Figure 9) for the experiment on soil
contaminated with 60g of Crude Oil, without any bio-
stimulant added (sample O) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 10) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9964 (r-squared of 0.9982) as against adjusted r-squared of
0.9910 (r-squared of 0.9955) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.8% of the results from the experiment
for sample O, as model with the best fit.
The graphical fit results (Figure 10) for the experiment on soil
contaminated with 60g of Crude Oil, with 20g of bio-
stimulant added (sample R) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 11) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9964 (r-squared of 0.9982) as against adjusted r-squared of
0.9924 (r-squared of 0.9962) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.8% of the results from the experiment
for sample R, as model with the best fit.
0 1 2 3 4 5 6 7 8
0
5
10
15
20
25
30
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
TPH vs. time
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
0 1 2 3 4 5 6 7 8
0
5
10
15
20
25
30
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
TPH vs. time
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
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Fig. 9: Fit for 0g ash and 60g Crude oil (O)
Fig. 10: Fit for 20g ash and 60g Crude oil (R)
TABLE 10: FIT DATA FOR 0g ASH AND 60g CRUDE OIL (O)
Model R2
Adj-R2
Exponential growth,
constant yield
0.3187 0.09165
Exponential growth,
varying yield
-3.964 -3.964
Logistic growth,
constant yield
0.9955 0.9910
Logistic growth,
varying yield
0.9982 0.9964
TABLE 11: FIT DATA FOR 20g ASH AND 60g CRUDE OIL (R)
Model R2
Adj-R2
Exponential growth,
constant yield
0.2843 0.04516
Exponential growth,
varying yield
-3.977 -3.977
Logistic growth,
constant yield
0.9962 0.9924
Logistic growth,
varying yield
0.9982 0.9964
The graphical fit results (Figure 11) for the experiment on soil
contaminated with 60g of Crude Oil, with 40g of bio-
stimulant added (sample U) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 12) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9990 (r-squared of 0.9995) as against adjusted r-squared of
0.9979 (r-squared of 0.9989) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.9% of the results from our experiment
for sample U, as model with the best fit.
The graphical fit results (Figure 12) for the experiment on soil
contaminated with 60g of Crude Oil, with 60g of bio-
stimulant added (sample X) shows that the bioremediation fits
well to logistic growth with constant yield and logistic growth
with varying yield. The numerical fit results of the same
experimental data (Table 13) reveal that logistic growth with
varying yield has the overall best fit with adjusted r-squared of
0.9995 (r-squared of 0.9998) as against adjusted r-squared of
0.9984 (r-squared of 0.9992) for logistic growth with constant
yield. The model for logistic growth with varying yield thus
explains more that 99.9% of the results from the experiment
for sample X, as model with the best fit.
Fig. 11: Fit for 0g ash and 60g Crude oil (U)
Fig. 12: Fit for 20g ash and 60g Crude oil (X)
0 1 2 3 4 5 6 7 8
-5
0
5
10
15
20
25
30
35
40
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
TPH vs. time
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
0 1 2 3 4 5 6 7 8
-5
0
5
10
15
20
25
30
35
40
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
TPH vs. time
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
0 1 2 3 4 5 6 7 8
-5
0
5
10
15
20
25
30
35
40
45
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
TPH vs. time
Exponetial growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
0 1 2 3 4 5 6 7 8
-5
0
5
10
15
20
25
30
35
40
45
Time (weeks)
TotalPetroleumHydrocarbon(g/kg)
TPH vs. time
Exponential growth, constant yield
Exponential growth, varying yield
Logistic growth, constant yield
Logistic growth, varying yield
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TABLE 12: FIT DATA FOR 0g ASH AND 60g CRUDE OIL (U)
Model R2
Adj-R2
Exponential growth,
constant yield
0.2522 0.00289
Exponential growth,
varying yield
-3.988 -3.988
Logistic growth,
constant yield
0.9989 0.9979
Logistic growth,
varying yield
0.9995 0.9990
TABLE 13: FIT DATA FOR 20g ASH AND 60g CRUDE OIL (X)
Model R2
Adj-R2
Exponential growth,
constant yield
0.2388 -0.01488
Exponential growth,
varying yield
-3.992 -3.992
Logistic growth,
constant yield
0.9992 0.9984
Logistic growth,
varying yield
0.9998 0.9995
IV CONCLUSION
The kinetics of banana stalk ash assisted bioremediation has
been studied using four kinetic models based on biomass
growth kinetics and the nature of yield. The analysis of the
results reveal that the biomass growth follows the mechanism
explained by the logistic growth model and the yield varies
based on the model of Oyoh and Osoka (2007). The model for
logistic growth with varying yield, 	 = 	( ( )
) ,
gave best fit to data from all twelve experiments, with or
without addition of bio-stimulant, to accuracy of more than
99% and is therefore the model of choice for explaining
banana talk ash assisted bioremediation.
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Contaminated Soil”, Inter. Journal of Engineering, 4 (3), pp. 357-
364, 2010.
[6] O. E. Onyelucheya, E. C. Osoka and C. M. Onyelucheya, “Effects
of Palm Bunch Ash on Bioremediation of Crude Oil
Contaminated Soil”, Journal of Nigerian Society of Chemical
Engineers, Vol. 25, No 1&2, pp. 64 – 72,2010.
[7] O. E. Onyelucheya, E. C. Osoka and C. M. Onyelucheya,
“Modelling Palm Bunch Ash Enhanced Bioremediation of
Crude Oil Contaminated Soil”, International Journal of Science
and Engineering Investigations, Vol. 2, Issue 13, 2013, pp.
8-12.
[8] H. M. Kefas, J. S. Lebnebiso, Y. Luka and S. F. Ndagana,
“Efficiency of banana stalk ash on bioremediation of crude-oil
contaminated soil”, International Journal of Recent Scientific
Research, Vol. 5, Issue, 8, pp.1477-1480, 2014.
[9] Z. R. Yelebe, R. J. Samuel and B. Z. Yelebe, “Kinetic Model
Development for Bioremediation of Petroleum
Contaminated Soil Using Palm Bunch and Wood Ash,
International Journal of Engineering Science Invention,
Volume 4, Issue 5, pp.40-47, 2015.
[10] A. S. Musa, K. B. Oyoh, E. C. Osoka and O. E. Onyelucheya,
“Modelling Phytoremediation Augmented Bioremediation
Based on Biomass and Yield Kinetics”, International Journal
of Engineering and Management Research, 5(4), pp. 241-
248, 2015.
[11] A. S. Musa, K. B. Oyoh, E. C. Osoka and O. E. Onyelucheya,
“Modelling Phytoremediation Augmented Bioremediation
Based on Order of Reaction”, International Journal of Innovative
Science, Engineering and Technology, 3(4), pp. 511-522, 2016.
[12] M. C. Udoye, K. O. Okpala, E. C. Osoka, J. C. Obijiaku, A. O.
Ogah and M. M. Chukwu, “Modeling a Bioremediation Process
of a Petroleum Contaminated Soil Enhanced with NPK Fertilizer
and Animal/Plant derived Organic Manure”,
International Research Journal of Advanced
Engineering and Science, Volume 2, Issue 4, pp. 87-97,
2017.
[13] S. Abdulsalam and A. B. Omale, “Comparison of Bioremediation
and Bio Augmentation Technologies for Remediation of
used Motor oil-Contaminated Soil, Braz. Arch.biol.tech
52(3), pp. 747-754. 2009.

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IJSRED-V2I3P45

  • 1. International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 406 Kinetic Study of Banana Stalk Ash Assisted Bioremediation of Crude-oil Contaminated Soil Based on Biomass Growth1* Osoka, E.C., 2 Kefas, H.M., 3 Igboko, N., 4 Anyikwa, S.O. 1,3,4 Department of Chemical Engineering, Federal University of Technology, Owerri, Nigeria 2 Department of Chemical Engineering, Moddibo Adama University of Technology, Yola, Nigeria ----------------------------------------************************---------------------------------- Abstract: This work studies the kinetics of bioremediation of Crude Oil contaminated soil using banana stalk ash as a bio-stimulant, by studying the kinetics of biomass growth and nature of yield. Twelve samples of soil contaminated with 20g to 60g of Crude oil and with 0g to 60g of banana stalk ash added as bio-stimulant were studied based on the total petroleum hydrocarbon. The experimental data obtained were fit to four models based on biomass growth kinetics and yield using the Curve-fitting toolbox of MATLAB software and compared based on their adjusted R-square. The analysis of the results reveal that the biomass growth follows the logistic growth model with varying yield for all twelve experiments, with or without addition of bio-stimulant, to an accuracy of more than 99% thus making it the model of choice for explaining banana talk ash assisted bioremediation. Keywords — bioremediation, banana stalk ash, biomass growth, yield, kinetics, bio-stimulant ----------------------------------------************************---------------------------------- I. INTRODUCTION Petroleum hydrocarbons represent a complex mixture of organic compounds mainly grouped into four fractions: alkenes, aromatics, resins and asphaltenes [1]. Hydrocarbon pollution of the environment has remained a major challenge for man over the years and has been escalating in proportions with increase in industrial activities. Such pollutions are usually occasioned by human error, equipment failure, vandalism, wars and natural disasters. Prominent among the deleterious effects of such pollutions on land is the destruction of natural flora and fauna thereby ultimately reducing the capacity of the ecosystem to support life. Several techniques have been developed over the years to combat this menace. These techniques are grouped broadly into two namely; In-situ methods (such as leaching or washing, isolation and containment, volatilization, bioremediation and passive bioremediation) and Ex-situ methods (such as incineration, solidification and stabilization, soil washing, and land farming) [2]. Bioremediation is the use of living microorganisms to breakdown or degrade petroleum hydrocarbon into harmless products such as CO2 and H2O. Microorganisms have been known to degrade hazardous compounds considered recalcitrant and resistant to biodegradation. Bioremediation has several advantages which include: cost effectiveness, environmental friendliness, simplicity in technology, conservation of soil texture and properties and its ability to produce harmless end products. This is contrary to other physical and chemical treatment methods whose limitations include; transfer of pollutants from one place/phase to another and being a complex technology and expensive to implement at full scale [3]. Due to the limitations of the physiochemical technologies stated above, great deal of literature has reported bioremediation as an alternative and/or supplement to these methods. Bioremediation of crude oil-contaminated soil can be carried out naturally (natural attenuation), or by the use of nutrients (organic or inorganic fertilizers); by the use of chemicals; or through mechanical means. Literature is rife with research works in the use of organic or inorganic fertilizers to enhance bioremediation [4]-[12].This study incorporates kinetic studies of laboratory experiments on crude oil contaminated soil by testing the effectiveness of bioremediation on crude-oil contaminated soil (based on Total Petroleum Hydrocarbon) using banana stalk ash (BSA) as substrate/bio-stimulant under aerobic conditions. II MATERIALS AND METHODS Materials: Crude oil, Banana stalk Ash (NPK 2.34/49/0.4), Soil sample, Chloroform, Distilled water. Apparatus: Jenway UV-VIS Spectrophotometer (AAS), Sieve (mesh size: 0.3mm), Electronic weighing balance (ZL 200630014473.3), Digital thermometer, Measuring cylinder, Beaker, Conical flask, Oven (4824213), Spatula, Plastic bucket, PH meter, Stirrer, Stove, Sample bottles. Preparation of Banana Stalk Ash: Banana stalk Ash collected from Jimeta (Yola North L. G. A., Nigeria) was crushed, sieved and dried in an oven for ninety minutes at a temperature of 200o C. CRUDE OIL CONTAMINATED SOIL SAMPLES PREPARATION Twelve 2.0-liter plastic buckets were labeled M to X and 1000g of soil was weighed and added to each of the twelve buckets. Crude oil was weighed and added to each of the soil RESEARCH ARTICLE OPEN ACCESS
  • 2. International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 407 samples as follows: 20g of the sample was added to M,P,S,V; 40g was added to N,Q,T,W and 60g was added to O,R,U,X. Oil was added to the content of the buckets and were mixed properly and kept in a room, away from rain, sunlight, and direct climatic influence. Ten days after the pollution of the soil samples, the samples were tilled for one minute each to allow aeration. The crude oil used was procured from Kaduna refinery, Kaduna, Nigeria. The sample from each bucket was allowed for 2 weeks after which each set of contaminated soil sample were collected in sample bottles for analysis of total petroleum hydrocarbon (TPH) before ash was added. Banana stalk ash was added to samples as follows: 0g of (BSA) was added to (M,N,O), 20g of the samples was added to (P,Q,R), 40g was added to (S,T,U) and 60g of the sample was added to (V,W,X). Each sample was tilled for one minute every 24 hours and analyzed every two weeks for eight weeks to determine the total petroleum hydrocarbon (TPH). This method was adopted from [6] and presented in Table 1. TABLE 1: QUANTITIES OF CRUDE OIL CONTAMINATION AND BANANA STALK ASH IN SOIL SAMPLES M TO X Quantity of Crude Oil Quantity of Ash 20g 40g 60g 0g M N O 20g P Q R 40g S T U 60g V W X Measurement of Total Petroleum Hydrocarbon (TPH) 3g of each sample was taken into a conical flask and 40 ml of measured chloroform was added to sample bottles labeled M to X and the sample was tightly closed and shaken vigorously for proper mixing of the content and allowed to stand for seven hours to enable complete extraction of oil by the chloroform. After 24 hours each of the samples was decanted and a clear liquid was obtained and transferred into a fresh sample bottles and the volume made up to 50 ml utilizing chloroform. The clear liquid was poured gently into the beaker and placed on the heating mantle for evaporation at 400 C. The beaker was weighed after cooking to determine the oil content [13]. The UV- vis spectrophotometer was standardized using chloroform blank with wavelength at 290nm and the results obtained were measured in g/kg. Models Based on Biomass Growth Reference [4] based on certain assumptions were able to develop some models which were fitted to experimental data from NPK fertilizer enhanced bioremediation. The models include: If Microbial growth is exponential and yield is constant: = + (1 − e ) (1) If Microbial growth is exponential and yield is not constant: = ( ) (2) If microbial growth is Logistic growth with constant yield: = + 1 − ( ) (3) If microbial growth is Logistic growth with yield not constant: = ( ( ) ) (4) Where, = substrate concentration TPH, (g/kg), = Initial substrate concentration (initial TPH), ! = Initial microbial concentration, YG = Yield coefficient, µ = Specific growth rate of the microbes, " = Inverse of the maximum microbial concentration, t = Time (weeks) Equations 1, 2, 3 and 4 will be used to fit the experimental data and the model with the best fit (based on the adjusted R- square) will be considered the model that best describes the biomass growth rate and associated yield, with respect to the bioremediation process. III RESULTS AND DISCUSSIONS Experimental results from the study of the twelve samples were fit to the four kinetic models based on biomass growth rate and yield kinetics (equation 1 to equation 4), to determine the kinetics of the biomass growth and yield and hence the kinetics of the bioremediation process. The graphical fit results (Figure 1) for the experiment on soil contaminated with 20g of Crude Oil, without any bio-stimulant added (sample M) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 2) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9894 (r-squared of 0.9947) as against adjusted r-squared of 0.9729 (r-squared of 0.9865) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99% of the experimental results performed for sample M, as model with the best fit. The graphical fit results (Figure 2) for the experiment on soil contaminated with 20g of Crude Oil, with 20g of bio- stimulant added (sample P) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 3) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9897 (r-squared of 0.9948) as against adjusted r-squared of 0.9707 (r-squared of 0.9854) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99% of the results from experiment for sample P, as model with the best fit.
  • 3. International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 408 Fig. 1: Fit for 0g ash and 20g Crude oil (M) Fig. 2: Fit for 20g ash and 20g Crude oil (P) TABLE 2: FIT DATA FOR 0g ASH AND 20g CRUDE OIL (M) Model R2 Adj-R2 Exponential growth, constant yield 0.5712 0.4283 Exponential growth, varying yield -3.738 -3.738 Logistic growth, constant yield 0.9865 0.9729 Logistic growth, varying yield 0.9947 0.9894 The graphical fit results (Figure 3) for the experiment on soil contaminated with 20g of Crude Oil, with 40g of bio- stimulant added (sample S) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 4) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9801 (r-squared of 0.9900) as against adjusted r-squared of 0.9578 (r-squared of 0.9789) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99% of the results from the experiment for sample S, as model with the best fit. TABLE 3: FIT DATA FOR 20g ASH AND 20g CRUDE OIL The graphical fit results (Figure 4) for the experiment on soil contaminated with 20g of Crude Oil, with 60g of bio- stimulant added (sample V) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 5) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9932 (r-squared of 0.9966) as against adjusted r-squared of 0.9815 (r-squared of 0.9908) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.6% of the results from the experiment for sample V, as model with the best fit. The graphical fit results (Figure 5) for the experiment on soil contaminated with 40g of Crude Oil, without any bio- stimulant added (sample N) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 6) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9971 (r-squared of 0.9986) as against adjusted r-squared of 0.9914 (r-squared of 0.9957) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.8% of the results for sample N, as model with the best fit. Fig. 3: Fit for 40g ash and 20g Crude oil (S) 0 1 2 3 4 5 6 7 8 4 6 8 10 12 14 16 18 20 Time (weeks) TotalPetroleumHydrocarbon(g/kg) S vs. t Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield 0 1 2 3 4 5 6 7 8 9 2 4 6 8 10 12 14 16 18 20 Time (weeks) TotalPetroleumHydrocarbon(g/kg) S vs. t Exponetial growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield 0 1 2 3 4 5 6 7 8 2 4 6 8 10 12 14 16 18 20 22 Time (weeks) TotalPetroleumHydrocarbon(g/kg) S vs. t Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic model, varying yield Model R2 Adj-R2 Exponential growth, constant yield 0.5214 0.3619 Exponential growth, varying yield -3.806 -3.806 Logistic growth, constant yield 0.9854 0.9707 Logistic growth, varying yield 0.9948 0.9897
  • 4. International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 409 Fig. 4: Fit for 60g ash and 20g Crude oil (V) TABLE 4: FIT DATA FOR 40g ASH AND 20g CRUDE OIL (S) Model R2 Adj-R2 Exponential growth, constant yield 0.5020 0.3360 Exponential growth, varying yield -3.818 -3.818 Logistic growth, constant yield 0.9789 0.9578 Logistic growth, varying yield 0.9900 0.9801 TABLE 5: FIT DATA FOR 60g ASH AND 20g CRUDE OIL (V) Model R2 Adj-R2 Exponential growth, constant yield 0.3892 0.1856 Exponential growth, varying yield -3.924 -3.924 Logistic growth, constant yield 0.9908 0.9815 Logistic growth, varying yield 0.9966 0.9932 The graphical fit results (Figure 6) for the experiment on soil contaminated with 40g of Crude Oil, with 20g of bio- stimulant added (sample Q) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 7) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9969 (r-squared of 0.9984) as against adjusted r-squared of 0.9919 (r-squared of 0.9959) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.8% of the results from the experiment for sample Q, as model with the best fit. The graphical fit results (Figure 7) for the experiment on soil contaminated with 40g of Crude Oil, with 40g of bio- stimulant added (sample T) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 8) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9968 (r-squared of 0.9984) as against adjusted r-squared of 0.9916 (r-squared of 0.9958) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.8% of the results from the experiment for sample T, as model with the best fit. Fig. 5: Fit for 0g ash and 40g Crude oil (N) Fig. 6: Fit for 20g ash and 40g Crude oil (Q) TABLE 6: FIT DATA FOR 0g ASH AND 40g CRUDE OIL (N) Model R2 Adj-R2 Exponential growth, constant yield 0.3333 0.1111 Exponential growth, varying yield -3.958 -3.958 Logistic growth, constant yield 0.9957 0.9914 Logistic growth, varying yield 0.9986 0.9971 0 1 2 3 4 5 6 7 8 0 2 4 6 8 10 12 14 16 18 20 Time (weeks) TotalPetroleumHydrocarbon(g/kg) S vs. t Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield 0 1 2 3 4 5 6 7 8 0 5 10 15 20 25 30 Time (weeks)TotalPetroleumHydrocarbon(g/kg) TPH vs. time Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield 0 1 2 3 4 5 6 7 8 0 5 10 15 20 25 30 Time (weeks) TotalPetroleumHydrocarbon(g/kg) TPH vs. time Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield
  • 5. International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 410 TABLE 7: FIT DATA FOR 20g ASH AND 4g CRUDE OIL (Q) Model R2 Adj-R2 Exponential growth, constant yield 0.3270 0.1027 Exponential growth, varying yield -3.960 -3.960 Logistic growth, constant yield 0.9959 0.9919 Logistic growth, varying yield 0.9984 0.9969 The graphical fit results (Figure 8) for the experiment on soil contaminated with 40g of Crude Oil, with 60g of bio- stimulant added (sample W) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 9) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9989 (r-squared of 0.9994) as against adjusted r-squared of 0.9944 (r-squared of 0.9972) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.9% of the experimental results for sample W, as model with the best fit. Fig. 7: Fit for 40g ash and 40g Crude oil (T) Fig. 8: Fit for 60g ash and 40g Crude oil (W) TABLE 8: FIT DATA FOR 40g ASH AND 40g CRUDE OIL (T) Model R2 Adj-R2 Exponential growth, constant yield 0.3258 0.1011 Exponential growth, varying yield -3.961 -3.961 Logistic growth, constant yield 0.9958 0.9916 Logistic growth, varying yield 0.9984 0.9968 TABLE 9: FIT DATA FOR 60g ASH AND 40g CRUDE OIL (W) Model R2 Adj-R2 Exponential growth, constant yield 0.3203 0.09368 Exponential growth, varying yield -3.965 -3.965 Logistic growth, constant yield 0.9972 0.9944 Logistic growth, varying yield 0.9994 0.9989 The graphical fit results (Figure 9) for the experiment on soil contaminated with 60g of Crude Oil, without any bio- stimulant added (sample O) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 10) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9964 (r-squared of 0.9982) as against adjusted r-squared of 0.9910 (r-squared of 0.9955) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.8% of the results from the experiment for sample O, as model with the best fit. The graphical fit results (Figure 10) for the experiment on soil contaminated with 60g of Crude Oil, with 20g of bio- stimulant added (sample R) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 11) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9964 (r-squared of 0.9982) as against adjusted r-squared of 0.9924 (r-squared of 0.9962) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.8% of the results from the experiment for sample R, as model with the best fit. 0 1 2 3 4 5 6 7 8 0 5 10 15 20 25 30 Time (weeks) TotalPetroleumHydrocarbon(g/kg) TPH vs. time Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield 0 1 2 3 4 5 6 7 8 0 5 10 15 20 25 30 Time (weeks) TotalPetroleumHydrocarbon(g/kg) TPH vs. time Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield
  • 6. International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 411 Fig. 9: Fit for 0g ash and 60g Crude oil (O) Fig. 10: Fit for 20g ash and 60g Crude oil (R) TABLE 10: FIT DATA FOR 0g ASH AND 60g CRUDE OIL (O) Model R2 Adj-R2 Exponential growth, constant yield 0.3187 0.09165 Exponential growth, varying yield -3.964 -3.964 Logistic growth, constant yield 0.9955 0.9910 Logistic growth, varying yield 0.9982 0.9964 TABLE 11: FIT DATA FOR 20g ASH AND 60g CRUDE OIL (R) Model R2 Adj-R2 Exponential growth, constant yield 0.2843 0.04516 Exponential growth, varying yield -3.977 -3.977 Logistic growth, constant yield 0.9962 0.9924 Logistic growth, varying yield 0.9982 0.9964 The graphical fit results (Figure 11) for the experiment on soil contaminated with 60g of Crude Oil, with 40g of bio- stimulant added (sample U) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 12) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9990 (r-squared of 0.9995) as against adjusted r-squared of 0.9979 (r-squared of 0.9989) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.9% of the results from our experiment for sample U, as model with the best fit. The graphical fit results (Figure 12) for the experiment on soil contaminated with 60g of Crude Oil, with 60g of bio- stimulant added (sample X) shows that the bioremediation fits well to logistic growth with constant yield and logistic growth with varying yield. The numerical fit results of the same experimental data (Table 13) reveal that logistic growth with varying yield has the overall best fit with adjusted r-squared of 0.9995 (r-squared of 0.9998) as against adjusted r-squared of 0.9984 (r-squared of 0.9992) for logistic growth with constant yield. The model for logistic growth with varying yield thus explains more that 99.9% of the results from the experiment for sample X, as model with the best fit. Fig. 11: Fit for 0g ash and 60g Crude oil (U) Fig. 12: Fit for 20g ash and 60g Crude oil (X) 0 1 2 3 4 5 6 7 8 -5 0 5 10 15 20 25 30 35 40 Time (weeks) TotalPetroleumHydrocarbon(g/kg) TPH vs. time Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield 0 1 2 3 4 5 6 7 8 -5 0 5 10 15 20 25 30 35 40 Time (weeks) TotalPetroleumHydrocarbon(g/kg) TPH vs. time Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield 0 1 2 3 4 5 6 7 8 -5 0 5 10 15 20 25 30 35 40 45 Time (weeks) TotalPetroleumHydrocarbon(g/kg) TPH vs. time Exponetial growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield 0 1 2 3 4 5 6 7 8 -5 0 5 10 15 20 25 30 35 40 45 Time (weeks) TotalPetroleumHydrocarbon(g/kg) TPH vs. time Exponential growth, constant yield Exponential growth, varying yield Logistic growth, constant yield Logistic growth, varying yield
  • 7. International Journal of Scientific Research and Engineering Development-– Volume 2Issue 3, May 2019 Available at www.ijsred.com ISSN : 2581-7175 ©IJSRED: All Rights are Reserved Page 412 TABLE 12: FIT DATA FOR 0g ASH AND 60g CRUDE OIL (U) Model R2 Adj-R2 Exponential growth, constant yield 0.2522 0.00289 Exponential growth, varying yield -3.988 -3.988 Logistic growth, constant yield 0.9989 0.9979 Logistic growth, varying yield 0.9995 0.9990 TABLE 13: FIT DATA FOR 20g ASH AND 60g CRUDE OIL (X) Model R2 Adj-R2 Exponential growth, constant yield 0.2388 -0.01488 Exponential growth, varying yield -3.992 -3.992 Logistic growth, constant yield 0.9992 0.9984 Logistic growth, varying yield 0.9998 0.9995 IV CONCLUSION The kinetics of banana stalk ash assisted bioremediation has been studied using four kinetic models based on biomass growth kinetics and the nature of yield. The analysis of the results reveal that the biomass growth follows the mechanism explained by the logistic growth model and the yield varies based on the model of Oyoh and Osoka (2007). The model for logistic growth with varying yield, = ( ( ) ) , gave best fit to data from all twelve experiments, with or without addition of bio-stimulant, to accuracy of more than 99% and is therefore the model of choice for explaining banana talk ash assisted bioremediation. V REFERENCES [1] F. Ruijuan, G. Shuhai, L. Tingting, L. Fengmei, Y. Xuelin, W. Bo, “Continuous of electrokinetics and bioremediation in the treatment of different petroleum compounds”, Clean Soil, Air, Water, 43(2), pp. 251-259, 2013. [2] K. Das and A. K. Mukherjee, “Crude Petroleum Oil Biodegradation Efficiency of bacillus Subtilis and Pseudomonas Aeruginosa Strain Isolated from a Petroleum Contaminated Soil from North-East India”, Bioresource Technology, 98, pp. 1339 – 1345, 2007. [3] M. Vidali, “Bioremediation: An overview”, J. Appl. Chemistry, vol. 73, issue 7, pp. 1163– 1172, 2001. [4] K. B. Oyoh and E. C. Osoka “Rate Model for Bioremediation Based on Total Hydrocarbon Content”, Journal of Nigerian Society of Chemical Engineers, 22, pp. 50 – 56, 2007. [5] E. C. Osoka and O. E. Onyelucheya, “Data-Driven Model for Palm Bunch Ash Enhanced Bioremediation of Crude-Oil Contaminated Soil”, Inter. Journal of Engineering, 4 (3), pp. 357- 364, 2010. [6] O. E. Onyelucheya, E. C. Osoka and C. M. Onyelucheya, “Effects of Palm Bunch Ash on Bioremediation of Crude Oil Contaminated Soil”, Journal of Nigerian Society of Chemical Engineers, Vol. 25, No 1&2, pp. 64 – 72,2010. [7] O. E. Onyelucheya, E. C. Osoka and C. M. Onyelucheya, “Modelling Palm Bunch Ash Enhanced Bioremediation of Crude Oil Contaminated Soil”, International Journal of Science and Engineering Investigations, Vol. 2, Issue 13, 2013, pp. 8-12. [8] H. M. Kefas, J. S. Lebnebiso, Y. Luka and S. F. Ndagana, “Efficiency of banana stalk ash on bioremediation of crude-oil contaminated soil”, International Journal of Recent Scientific Research, Vol. 5, Issue, 8, pp.1477-1480, 2014. [9] Z. R. Yelebe, R. J. Samuel and B. Z. Yelebe, “Kinetic Model Development for Bioremediation of Petroleum Contaminated Soil Using Palm Bunch and Wood Ash, International Journal of Engineering Science Invention, Volume 4, Issue 5, pp.40-47, 2015. [10] A. S. Musa, K. B. Oyoh, E. C. Osoka and O. E. Onyelucheya, “Modelling Phytoremediation Augmented Bioremediation Based on Biomass and Yield Kinetics”, International Journal of Engineering and Management Research, 5(4), pp. 241- 248, 2015. [11] A. S. Musa, K. B. Oyoh, E. C. Osoka and O. E. Onyelucheya, “Modelling Phytoremediation Augmented Bioremediation Based on Order of Reaction”, International Journal of Innovative Science, Engineering and Technology, 3(4), pp. 511-522, 2016. [12] M. C. Udoye, K. O. Okpala, E. C. Osoka, J. C. Obijiaku, A. O. Ogah and M. M. Chukwu, “Modeling a Bioremediation Process of a Petroleum Contaminated Soil Enhanced with NPK Fertilizer and Animal/Plant derived Organic Manure”, International Research Journal of Advanced Engineering and Science, Volume 2, Issue 4, pp. 87-97, 2017. [13] S. Abdulsalam and A. B. Omale, “Comparison of Bioremediation and Bio Augmentation Technologies for Remediation of used Motor oil-Contaminated Soil, Braz. Arch.biol.tech 52(3), pp. 747-754. 2009.