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International Journal of Civil Engineering and Technology (IJCIET)
Volume 10, Issue 03, March 2019, pp. 403–412, Article ID: IJCIET_10_03_041
Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJCIET&VType=10&IType=3
ISSN Print: 0976-6308 and ISSN Online: 0976-6316
© IAEME Publication Scopus Indexed
DEEP PERCOLATION CHARACTERTISTICS
VIA SOIL MOISTURE SENSOR APPROACH IN
SAIGON RIVER BASIN, VIETNAM
Tran Thanh Long
Ph.D Student, Department of Water Resources Engineering,
Faculty of Engineering, Chulalongkorn University, Bangkok, Thailand
Sucharit Koontanakulvong
Associate Professor, Department of Water Resources Engineering,
Faculty of Engineering, Chulalongkorn University, Bangkok, Thailand
ABSTRACT
As a critical factor of the groundwater balance, the deeper percolation rate plays
an essential role in determining sustainable yields for groundwater resources,
especially in water managements for consecutive drought years. Although, there are
many methods to estimate deeper percolation, investigation of deeper percolation
somehow remains a challenging task. Hence, the paper focused on to explore deep
percolation characteristics of three soil type utilizing Richard’s function (Hydrus 1D)
and observed soil moisture via field moisture sensors. The maximum deep percolation
rate of sand clay loam, sand clay, and clay are estimated to be 4.5 mm/day, 3.5
mm/day, and 2.4 mm/day, respectively. The annual percolation ratios of sand clay
loam, sand clay, and clay are 0.34, 0.27 and 0.04, respectively. The average monthly
percolation rates of sand clay loam, sand clay, and clay vary 2-4.5 mm/day, 1.5-3.5
mm/day, and 0.5-2 mm/day, respectively with the rainfall intensity of 4-14 mm/day.
The experiment gave an insight on deeper percolation characteristics as well as
potential land recharge from rainfall utilizing soil moisture approach for future
groundwater balance evaluation.
Key words: Deep percolation; Hydrus 1D; soil moisture, sensor, Saigon River basin.
Cite this Article: Tran Thanh Long, Sucharit Koontanakulvong, Deep Percolation
Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam,
International Journal of Civil Engineering and Technology 10(3), 2019, pp. 403–412.
http://www.iaeme.com/IJCIET/issues.asp?JType=IJCIET&VType=10&IType=3
1. INTRODUCTION
Although land recharge is one of important factor as river recharge for sustainable
groundwater management [1, 2], though investigation of land recharge somehow remains a
challenging task. Since 1960s, there are varied commonly methods applied to estimate natural
groundwater recharge, e.g., i) soil water balance method [3-6], ii) zero flux plane method [7,
Tran Thanh Long, Sucharit Koontanakulvong
http://www.iaeme.com/IJCIET/index.asp 404 editor@iaeme.com
8], iii) one-dimensional soil water flow model [9-11]; iv) infiltration test using single ring,
double rings, the well permeameter [12, 13], v) inverse modeling technique [14-16], vi)
ground water level fluctuation method [5, 17, 18], vii) Chemical/ radioactive method [19, 20].
However, these methods sometime are difficult and expensive in the field test. Moreover, the
water balance in unsaturated zone cannot be evaluated easily and lead incorrectly equated
with the sustainable yield of an aquifer. Along the development of technology, soil water
content can be monitored via Arduino soil moisture sensor [21]. This approach shows
potential useful to validate soil profile under water movement process. Hence, the aim of the
paper is to explore deep percolation characteristics of three soil types utilizing Richard’s
function (Hydrus 1D) and observed soil moisture via field sensors. First, the field
measurement system was designed and installed in three locations in the Saigon Basin,
Vietnam. Second, the daily deep percolations of 3 soil types (sand clay loam, sand clay, and
clay) were simulated using the Hydrus 1D model. The water retention parameters were
calibrated and verified from Oct 2017 to Dec 2018 by field experimental data in the study
area. Third, relationships of effective rainfall and deep percolation were analyzed to detect the
deep percolation functions for 3 soil types in the study area by simulated results from Apr
2017 to Dec 2018. These investigations gave an insight on deeper percolation characteristics
as well as potential land recharge from rainfall utilizing soil moisture approach for developing
groundwater modeling to evaluate groundwater balance in the future.
Figure 1 Study area field measurement area
2. MATERIALS AND METHODS
The study was conducted by installing soil moisture sensors in 3 field sites with automatic
data collection. These soil samples were collected to calibrate with soil moisture sensors in
the lab. Then, the percolation flows were simulated using Richard’s function (Hydrus 1D).
The water retention parameters were estimated by inverse modeling utilizing observed soil
moisture in the field. The performance of soil moisture simulation is justified due to statistic
parameters and the regression. Finally, the functions of percolation rate with effective rainfall
(rainfall – evapotranspiration), rainfall intensity (rainfall/no of days), percolation rate
(percolation/effective rainfall) of three soil types were determined. The procedures of study
are shown as Figure 2.
Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam
http://www.iaeme.com/IJCIET/index.asp 405 editor@iaeme.com
Figure 2 Study procedures
2.1. Field installation and measurement
Figure 3 Approach of field installation and measurement (a: bore-log design; b: inject sensor into soil;
c: calibration soil moisture; d: field measurement data; e: monitor soil moisture)
The motivation of soil moisture sensor in this paper is adapted from low-cost soil moisture
profile probe [21]. The soil moisture sensor developed includes 2 parts: sensing parts and
reading board. First, the copper sensing part consisted of two wide bars, with a width and
length of 25 and 55 mm, respectively. There was a 1 mm gap between the two bars. These
two bars work as a resistor. The wiring part extended to the end of the copper plate and was
connected to a soil moisture module. Then, the soil moisture sensing parts and wiring are
attached to the aluminium bar. The circuit includes five soil moisture sensing parts to measure
the electrical resistance of soil at 1m, 2m, 3m, 4m, and 5m. Second, to measure the soil
moisture, Arduino board, which is an open-source electronics platform, is utilized during field
measurement. The reader board consists of soil moisture module and Lambda board. The soil
moisture module measures the soil resistance, while the Lambda board records the data
hourly. The power is supplied from USB 5v 1A. The data was recorded in cloud and
downloaded weekly. The soil moisture of each soil type is calibrated with moisture
measurement in the lab. Then, the measurements in three field sites are converted to soil
moisture. The soil moisture approach is summarized and shown in Figure 3.
2.2. Theories used
The governing flow equation for the uniform Darcian flow of water in a porous medium is
adopted by the following modified form of the Richards' equation: [22]
Tran Thanh Long, Sucharit Koontanakulvong
http://www.iaeme.com/IJCIET/index.asp 406 editor@iaeme.com
[ ( )]
Where  is the volumetric water content, (m3
m-3
), K is the hydraulic conductivity
(mm/day), h is the pressures head (mm) , S is a sink term (1/day), xi(i-1,2) are the spatial
coordinates [L], t is the time (day), z is the vertical ordinate (mm), KA
ij are components of a
dimensionless anisotropy tensor KA
. K is the unsaturated hydraulic conductivity function
(mm/day) given by
* ( ) +
{ | |
Where Se is the effective water content, r denote the residual water content, s denote the
saturated water content, Ks is the saturated hydraulic conductivity (mm/day), α is the inverse
of the air-entry value (or bubbling pressure), n is a pore-size distribution index.
The x-components of the percolation rate are computed for each node N according to [22]
( ) ( )
Where  is the volumetric water content, (m3
m-3
), t is time calculation (d), x is grid size
(mm), j is time step, N indicate the position node in the finite difference mesh.
The data of percolation, evaporation, and observed water content of study area were recorded
from Oct 2017 to Dec 2018 though the simulation was run from Apr 2017 to Dec 2018. The
upper boundary condition is set as atmosphere condition. The bottom boundary condition is
set as seepage condition (as shown in Figure 4). The initial retentions parameters (r, s, α , n,
Ks) are referred from Rosetta program [23].
3. RESULTS
From the field sensor measurement, soil moisture movements of 3 soil types in wetting and
drying phases are shown in Figure 3. The movement of soil moisture in sand clay loam is the
highest. Clay shows the lowest movement in soil moisture. The soil moisture increases after
rainy season and decrease after dry season. The measurement data show that installed soil
moisture sensors gave reliable values under natural field conditions. Then, the analysis
relationship between percolation rate and effective rainfall of three soil type can apply the
field soil moisture data via installed sensors.
Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam
http://www.iaeme.com/IJCIET/index.asp 407 editor@iaeme.com
Figure 4 Field soil moisture measurement (a. boundary conditions from field measurement; b.
measured soil moisture and effective rainfall)
Figure 5 Soil moisture movements of 3 soil types at rainy season and dry season 2017
Figure 6 Calibration and verification soil moisture model of sand clay
Retention parameter calibrations relied on performance statistics of observed soil
moisture. In calibration step, the calculated soil moistures of three soil type match well with
observed data (as an example in Figure 6). The maximum error (%) is 2.98 to 1.45. The
minimum error (%) is 0. The mean error (%) is 0.3 to 1.5. The RMSE is 0.4 to 1.8. The R-
square is 0.64 to 0.912. In verification step, the calculated soil moistures of three soil type are
closed with observed data. The maximum error (%) is 4.68 to 1.35. The minimum error (%) is
0. The mean error (%) is 0.4 to 1.1. The RMSE is 0.5 to 1.2. The R-square is 0.66 to 0.94 as
shown in Table 1.
Tran Thanh Long, Sucharit Koontanakulvong
http://www.iaeme.com/IJCIET/index.asp 408 editor@iaeme.com
Table 1 Statistic parameters of soil moisture’s calibration and verification
Soil type Period
Calibration Verification
Mean Error RMSE R2
Mean Error RMSE R2
Sand clay loam
Dry 1.4 1.5 0.806 1 1.1 0.852
Wet 1.5 1.8 0.912 1 1.2 0.940
Sand clay
Dry 1.0 1.2 0.706 0.5 0.6 0.660
Wet 0.8 1.2 0.874 1.1 1.3 0.806
Clay
Dry 0.3 0.4 0.642 0.5 0.6 0.608
Wet 0.4 0.5 0.658 0.4 0.5 0.612
Table 2 shows the soil retention parameter values after calibration and verification. The
soil retention parameters are proportional with percentage of sand. The α, n, K parameters
decrease in deeper depths. The sand clay loam has highest hydraulic conductivity. The lowest
hydraulic conductivity is clay. In addition, the parameters of sand clay and clay showed
agreement with defaulted values from Hydrus1-D [23]. However, the hydraulic conductivity
of sand clay loam is lower than the defaulted value due to the higher silt ratio in the soil
sample than referred value.
Table 2 Soil retention parameters after calibration and verification
Depth (m) 0-1 1-2 2-3 3-4 4-5
defaulted in
Hydrus 1-D
Sand
clay
loam
θr 0.065 0.061 0.061 0.06 0.06 0.065
θs 0.41 0.38 0.38 0.39 0.38 0.39
α (1/mm) 0.0075 0.0029 0.00277 0.0029 0.0025 0.0059
n(-) 1.89 1.6 1.64 1.48 1.7 1.48
K(mm/day) 361 124.4 120.3 114 120 314
Sand
clay
θr 0.1 0.1 0.1 0.1 0.1 0.1
θs 0.38 0.38 0.38 0.38 0.38 0.38
α (1/mm) 0.0035 0.0032 0.0031 0.0027 0.00015 0.0027
n(-) 1.65 1.62 1.65 2.2 2.1 1.23
K(mm/day) 55.8 51 45 60 65 51
Clay
θr 0.068 0.068 0.068 0.068 0.068 0.065
θs 0.39 0.39 0.39 0.385 0.385 0.41
α (1/mm) 0.0015 0.0012 0.0008 0.0006 0.0004 0.0008
n(-) 1.29 1.25 1.25 1.26 1.75 1.09
K(mm/day) 15.6 17.6 18.1 24 27 28
Figure 7 demonstrates the hysteretic soil-water retention curves (SWRC) of three soil
types at the depths of 1, 5 m from soil surface. The results illustrated good fitting shape of the
unsaturated hydraulic conductivity function near saturation. Moreover, the simulations show
that hysteresis of percolation rate between drying phase and wetting phase relies on void
space and pore size distribution, which are in agreement with experimental results from
Yang, 2004 [24]. In example, with the lowest pore-size index, water is difficult to pass
through clay, which cause large hysteresis for clay soil (as in Table 2). In addition, the
percolation fluxes decrease in each soil depth due to the evapotranspiration influence at soil
surface.
Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam
http://www.iaeme.com/IJCIET/index.asp 409 editor@iaeme.com
Figure 7 The hysteretic soil-water retention curves (SWRC) of three soil types at 1m and 5m
The average monthly percolation rates of three soil type pattern correspond to effective
rainfall. The deep percolations proceed mainly in wet period, while dry period gave very low
percolation (as an example in Figure 8). The percolation rate at 5 meter depth is in range 0-4
mm/day. Table 3 shows average percolation rates of three soil type in dry and wet periods of
2017-2018. Due to the permeability property of soil, the derived percolation rate in fluxes in
deeper depth are lower than in upper depth of each soil type in the study area. The amount
percolation is the highest for sand clay loam and the lowest for clay. The experiment data are
in accordance with the percolation rate of sand clay loam (2.3 mm/day) in Phitsanulok,
Thailand [25, 26].
Table 3 Average percolation rates of 3 soil types in dry and wet periods of 2017-2018
Soil type
Period
Wet
2017
Dry
2017
Wet
2018
Dry
2018
Annual
2017 - 2018
Days 238 146 251 30 384
Effective rainfall (mm) 1651.72 143.08 1872.46 56.4 1794.8
Rainfall intensity (mm/day) 6.94 0.98 7.46 1.88 4.67
Sand clay
loam
Percolation rate 1m (mm/day) 5.37 0.47 5.71 0.25 3.51
Percolation rate 2m (mm/day) 4.46 0.31 4.55 0.22 2.88
Percolation rate 3m (mm/day) 4.05 0.24 4.08 0.22 2.6
Percolation rate 4m (mm/day) 2.97 0.15 3.3 0.18 1.9
Percolation rate 5m (mm/day) 2.51 0.11 2.73 0.19 1.6
Percolation ratio (-) 0.36 0.11 0.37 0.1 0.34
Sand clay
Percolation rate 1m (mm/day) 5.27 0.25 5.17 0.29 3.36
Percolation rate 2m (mm/day) 4.33 0.2 4.87 0.25 2.76
Percolation rate 3m (mm/day) 4.26 0.17 4.5 0.2 2.7
Percolation rate 4m (mm/day) 3.01 0.13 3.12 0.17 1.92
Percolation rate 5m (mm/day) 1.95 0.1 2.26 0.15 1.25
Percolation ratio (-) 0.28 0.1 0.3 0.08 0.27
Clay
Percolation rate 1m (mm/day) 3.34 0.4 3.49 0.23 2.22
Percolation rate 2m (mm/day) 2.74 0.11 3.4 0.21 1.74
Percolation rate 3m (mm/day) 2.13 0.08 3.22 0.19 1.35
Percolation rate 4m (mm/day) 1.45 0.08 2.48 0.15 0.7
Percolation rate 5m (mm/day) 1.08 0.08 1.71 0.13 0.15
Percolation ratio (-) 0.16 0.08 0.23 0.07 0.04
Tran Thanh Long, Sucharit Koontanakulvong
http://www.iaeme.com/IJCIET/index.asp 410 editor@iaeme.com
Figure 8 Average monthly percolation rate of sand clay and effective rainfall
The percolation fluxes were compared with effective rainfall to find the percolation rate
function of the study area. Figure 9a demonstrates percolation rate function with average
monthly effective rainfall. The highest percolation rate is sand clay loam and the lowest is
clay. The deep percolation rates are affected from rainfall intensity. Under rainfall intensity 4-
14mm/day, the average monthly percolation rate of sand clay loam, sand clay, and clay are in
range 2-4.5 mm/day, 1.5-3.5 mm/day, and 0.5-2 mm/day, respectively. Besides, this
experiment also reveals that grain size of soil and percentage of sand has strong relationship
with percolation flux in wet period (as shown in Figure 8 and 9b), i.e., the higher sand
percentage gives higher percolation rate.
Figure 9 Percolation functions of soil types and in the wet and dry periods
4. CONCLUSIONS
The field sensor measurement system was successfully installed in three locations in the
Saigon Basin, Vietnam and the daily deep percolation of 3 soil types (sand clay loam, sand
clay, clay) were analyzed by using the Hydrus 1D model calibrated by the daily field
experimental data from Oct 2017- Dec 2018 in the study area.
The average monthly percolation rates of three soil type pattern correspond to effective
rainfall, rainfall intensity and soil type. The deep percolation proceeds mainly in wet period,
while dry period gave very low percolation (as an example in Figure 8). The percolation rate
at 5 meter depth is in range 0-4 mm/day. Average percolation rates of three soil type are
Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam
http://www.iaeme.com/IJCIET/index.asp 411 editor@iaeme.com
analyzed in dry and wet periods of Apr 2017-Dec 2018. Due to the permeability property of
soil, the derived percolation rate in fluxes in deeper depth are lower than in upper depth of
each soil type in the study area. The percolation is the highest for sand clay loam and the
lowest for clay. The average monthly percolation rate of sand clay loam, sand clay, and clay
varies 2-4.5 mm/day, 1.5-3.5 mm/day, and 0.5-2 mm/day, respectively to rainfall intensity 4-
14mm/day. Besides, grain size of soil and percentage of sand has strong relationship with
percolation flux in wet period, i.e., the higher sand percentage gives higher percolation rate.
This experiment presented an insights approach to estimate better deep percolation from
effective rainfall via field soil moisture sensor system. The approach assisted to give better
understanding relationships of deep percolation with effective rainfall, rainfall intensity and
soil type. The experiment gave an insight on deeper percolation characteristics as well as
potential land recharge from rainfall utilizing soil moisture approach for future groundwater
balance evaluation.
ACKNOWLEDGEMENTS
This paper could not be accomplished without the support of Ph. D sandwich program
scholarship from AUN – Seed net and the Water Resources System Research Unit of Faculty
of Engineering, Chulalongkorn University. The authors also thank to the staff at Division for
Water Resources Planning and Investigation for the South of Vietnam, Southern Regional
Hydrometeorology Center Department of Resources and Environmental for data collection.
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DEEP PERCOLATION CHARACTERTISTICS VIA SOIL MOISTURE SENSOR APPROACH IN SAIGON RIVER BASIN, VIETNAM

  • 1. http://www.iaeme.com/IJCIET/index.asp 403 editor@iaeme.com International Journal of Civil Engineering and Technology (IJCIET) Volume 10, Issue 03, March 2019, pp. 403–412, Article ID: IJCIET_10_03_041 Available online at http://www.iaeme.com/ijmet/issues.asp?JType=IJCIET&VType=10&IType=3 ISSN Print: 0976-6308 and ISSN Online: 0976-6316 © IAEME Publication Scopus Indexed DEEP PERCOLATION CHARACTERTISTICS VIA SOIL MOISTURE SENSOR APPROACH IN SAIGON RIVER BASIN, VIETNAM Tran Thanh Long Ph.D Student, Department of Water Resources Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok, Thailand Sucharit Koontanakulvong Associate Professor, Department of Water Resources Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok, Thailand ABSTRACT As a critical factor of the groundwater balance, the deeper percolation rate plays an essential role in determining sustainable yields for groundwater resources, especially in water managements for consecutive drought years. Although, there are many methods to estimate deeper percolation, investigation of deeper percolation somehow remains a challenging task. Hence, the paper focused on to explore deep percolation characteristics of three soil type utilizing Richard’s function (Hydrus 1D) and observed soil moisture via field moisture sensors. The maximum deep percolation rate of sand clay loam, sand clay, and clay are estimated to be 4.5 mm/day, 3.5 mm/day, and 2.4 mm/day, respectively. The annual percolation ratios of sand clay loam, sand clay, and clay are 0.34, 0.27 and 0.04, respectively. The average monthly percolation rates of sand clay loam, sand clay, and clay vary 2-4.5 mm/day, 1.5-3.5 mm/day, and 0.5-2 mm/day, respectively with the rainfall intensity of 4-14 mm/day. The experiment gave an insight on deeper percolation characteristics as well as potential land recharge from rainfall utilizing soil moisture approach for future groundwater balance evaluation. Key words: Deep percolation; Hydrus 1D; soil moisture, sensor, Saigon River basin. Cite this Article: Tran Thanh Long, Sucharit Koontanakulvong, Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam, International Journal of Civil Engineering and Technology 10(3), 2019, pp. 403–412. http://www.iaeme.com/IJCIET/issues.asp?JType=IJCIET&VType=10&IType=3 1. INTRODUCTION Although land recharge is one of important factor as river recharge for sustainable groundwater management [1, 2], though investigation of land recharge somehow remains a challenging task. Since 1960s, there are varied commonly methods applied to estimate natural groundwater recharge, e.g., i) soil water balance method [3-6], ii) zero flux plane method [7,
  • 2. Tran Thanh Long, Sucharit Koontanakulvong http://www.iaeme.com/IJCIET/index.asp 404 editor@iaeme.com 8], iii) one-dimensional soil water flow model [9-11]; iv) infiltration test using single ring, double rings, the well permeameter [12, 13], v) inverse modeling technique [14-16], vi) ground water level fluctuation method [5, 17, 18], vii) Chemical/ radioactive method [19, 20]. However, these methods sometime are difficult and expensive in the field test. Moreover, the water balance in unsaturated zone cannot be evaluated easily and lead incorrectly equated with the sustainable yield of an aquifer. Along the development of technology, soil water content can be monitored via Arduino soil moisture sensor [21]. This approach shows potential useful to validate soil profile under water movement process. Hence, the aim of the paper is to explore deep percolation characteristics of three soil types utilizing Richard’s function (Hydrus 1D) and observed soil moisture via field sensors. First, the field measurement system was designed and installed in three locations in the Saigon Basin, Vietnam. Second, the daily deep percolations of 3 soil types (sand clay loam, sand clay, and clay) were simulated using the Hydrus 1D model. The water retention parameters were calibrated and verified from Oct 2017 to Dec 2018 by field experimental data in the study area. Third, relationships of effective rainfall and deep percolation were analyzed to detect the deep percolation functions for 3 soil types in the study area by simulated results from Apr 2017 to Dec 2018. These investigations gave an insight on deeper percolation characteristics as well as potential land recharge from rainfall utilizing soil moisture approach for developing groundwater modeling to evaluate groundwater balance in the future. Figure 1 Study area field measurement area 2. MATERIALS AND METHODS The study was conducted by installing soil moisture sensors in 3 field sites with automatic data collection. These soil samples were collected to calibrate with soil moisture sensors in the lab. Then, the percolation flows were simulated using Richard’s function (Hydrus 1D). The water retention parameters were estimated by inverse modeling utilizing observed soil moisture in the field. The performance of soil moisture simulation is justified due to statistic parameters and the regression. Finally, the functions of percolation rate with effective rainfall (rainfall – evapotranspiration), rainfall intensity (rainfall/no of days), percolation rate (percolation/effective rainfall) of three soil types were determined. The procedures of study are shown as Figure 2.
  • 3. Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam http://www.iaeme.com/IJCIET/index.asp 405 editor@iaeme.com Figure 2 Study procedures 2.1. Field installation and measurement Figure 3 Approach of field installation and measurement (a: bore-log design; b: inject sensor into soil; c: calibration soil moisture; d: field measurement data; e: monitor soil moisture) The motivation of soil moisture sensor in this paper is adapted from low-cost soil moisture profile probe [21]. The soil moisture sensor developed includes 2 parts: sensing parts and reading board. First, the copper sensing part consisted of two wide bars, with a width and length of 25 and 55 mm, respectively. There was a 1 mm gap between the two bars. These two bars work as a resistor. The wiring part extended to the end of the copper plate and was connected to a soil moisture module. Then, the soil moisture sensing parts and wiring are attached to the aluminium bar. The circuit includes five soil moisture sensing parts to measure the electrical resistance of soil at 1m, 2m, 3m, 4m, and 5m. Second, to measure the soil moisture, Arduino board, which is an open-source electronics platform, is utilized during field measurement. The reader board consists of soil moisture module and Lambda board. The soil moisture module measures the soil resistance, while the Lambda board records the data hourly. The power is supplied from USB 5v 1A. The data was recorded in cloud and downloaded weekly. The soil moisture of each soil type is calibrated with moisture measurement in the lab. Then, the measurements in three field sites are converted to soil moisture. The soil moisture approach is summarized and shown in Figure 3. 2.2. Theories used The governing flow equation for the uniform Darcian flow of water in a porous medium is adopted by the following modified form of the Richards' equation: [22]
  • 4. Tran Thanh Long, Sucharit Koontanakulvong http://www.iaeme.com/IJCIET/index.asp 406 editor@iaeme.com [ ( )] Where  is the volumetric water content, (m3 m-3 ), K is the hydraulic conductivity (mm/day), h is the pressures head (mm) , S is a sink term (1/day), xi(i-1,2) are the spatial coordinates [L], t is the time (day), z is the vertical ordinate (mm), KA ij are components of a dimensionless anisotropy tensor KA . K is the unsaturated hydraulic conductivity function (mm/day) given by * ( ) + { | | Where Se is the effective water content, r denote the residual water content, s denote the saturated water content, Ks is the saturated hydraulic conductivity (mm/day), α is the inverse of the air-entry value (or bubbling pressure), n is a pore-size distribution index. The x-components of the percolation rate are computed for each node N according to [22] ( ) ( ) Where  is the volumetric water content, (m3 m-3 ), t is time calculation (d), x is grid size (mm), j is time step, N indicate the position node in the finite difference mesh. The data of percolation, evaporation, and observed water content of study area were recorded from Oct 2017 to Dec 2018 though the simulation was run from Apr 2017 to Dec 2018. The upper boundary condition is set as atmosphere condition. The bottom boundary condition is set as seepage condition (as shown in Figure 4). The initial retentions parameters (r, s, α , n, Ks) are referred from Rosetta program [23]. 3. RESULTS From the field sensor measurement, soil moisture movements of 3 soil types in wetting and drying phases are shown in Figure 3. The movement of soil moisture in sand clay loam is the highest. Clay shows the lowest movement in soil moisture. The soil moisture increases after rainy season and decrease after dry season. The measurement data show that installed soil moisture sensors gave reliable values under natural field conditions. Then, the analysis relationship between percolation rate and effective rainfall of three soil type can apply the field soil moisture data via installed sensors.
  • 5. Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam http://www.iaeme.com/IJCIET/index.asp 407 editor@iaeme.com Figure 4 Field soil moisture measurement (a. boundary conditions from field measurement; b. measured soil moisture and effective rainfall) Figure 5 Soil moisture movements of 3 soil types at rainy season and dry season 2017 Figure 6 Calibration and verification soil moisture model of sand clay Retention parameter calibrations relied on performance statistics of observed soil moisture. In calibration step, the calculated soil moistures of three soil type match well with observed data (as an example in Figure 6). The maximum error (%) is 2.98 to 1.45. The minimum error (%) is 0. The mean error (%) is 0.3 to 1.5. The RMSE is 0.4 to 1.8. The R- square is 0.64 to 0.912. In verification step, the calculated soil moistures of three soil type are closed with observed data. The maximum error (%) is 4.68 to 1.35. The minimum error (%) is 0. The mean error (%) is 0.4 to 1.1. The RMSE is 0.5 to 1.2. The R-square is 0.66 to 0.94 as shown in Table 1.
  • 6. Tran Thanh Long, Sucharit Koontanakulvong http://www.iaeme.com/IJCIET/index.asp 408 editor@iaeme.com Table 1 Statistic parameters of soil moisture’s calibration and verification Soil type Period Calibration Verification Mean Error RMSE R2 Mean Error RMSE R2 Sand clay loam Dry 1.4 1.5 0.806 1 1.1 0.852 Wet 1.5 1.8 0.912 1 1.2 0.940 Sand clay Dry 1.0 1.2 0.706 0.5 0.6 0.660 Wet 0.8 1.2 0.874 1.1 1.3 0.806 Clay Dry 0.3 0.4 0.642 0.5 0.6 0.608 Wet 0.4 0.5 0.658 0.4 0.5 0.612 Table 2 shows the soil retention parameter values after calibration and verification. The soil retention parameters are proportional with percentage of sand. The α, n, K parameters decrease in deeper depths. The sand clay loam has highest hydraulic conductivity. The lowest hydraulic conductivity is clay. In addition, the parameters of sand clay and clay showed agreement with defaulted values from Hydrus1-D [23]. However, the hydraulic conductivity of sand clay loam is lower than the defaulted value due to the higher silt ratio in the soil sample than referred value. Table 2 Soil retention parameters after calibration and verification Depth (m) 0-1 1-2 2-3 3-4 4-5 defaulted in Hydrus 1-D Sand clay loam θr 0.065 0.061 0.061 0.06 0.06 0.065 θs 0.41 0.38 0.38 0.39 0.38 0.39 α (1/mm) 0.0075 0.0029 0.00277 0.0029 0.0025 0.0059 n(-) 1.89 1.6 1.64 1.48 1.7 1.48 K(mm/day) 361 124.4 120.3 114 120 314 Sand clay θr 0.1 0.1 0.1 0.1 0.1 0.1 θs 0.38 0.38 0.38 0.38 0.38 0.38 α (1/mm) 0.0035 0.0032 0.0031 0.0027 0.00015 0.0027 n(-) 1.65 1.62 1.65 2.2 2.1 1.23 K(mm/day) 55.8 51 45 60 65 51 Clay θr 0.068 0.068 0.068 0.068 0.068 0.065 θs 0.39 0.39 0.39 0.385 0.385 0.41 α (1/mm) 0.0015 0.0012 0.0008 0.0006 0.0004 0.0008 n(-) 1.29 1.25 1.25 1.26 1.75 1.09 K(mm/day) 15.6 17.6 18.1 24 27 28 Figure 7 demonstrates the hysteretic soil-water retention curves (SWRC) of three soil types at the depths of 1, 5 m from soil surface. The results illustrated good fitting shape of the unsaturated hydraulic conductivity function near saturation. Moreover, the simulations show that hysteresis of percolation rate between drying phase and wetting phase relies on void space and pore size distribution, which are in agreement with experimental results from Yang, 2004 [24]. In example, with the lowest pore-size index, water is difficult to pass through clay, which cause large hysteresis for clay soil (as in Table 2). In addition, the percolation fluxes decrease in each soil depth due to the evapotranspiration influence at soil surface.
  • 7. Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam http://www.iaeme.com/IJCIET/index.asp 409 editor@iaeme.com Figure 7 The hysteretic soil-water retention curves (SWRC) of three soil types at 1m and 5m The average monthly percolation rates of three soil type pattern correspond to effective rainfall. The deep percolations proceed mainly in wet period, while dry period gave very low percolation (as an example in Figure 8). The percolation rate at 5 meter depth is in range 0-4 mm/day. Table 3 shows average percolation rates of three soil type in dry and wet periods of 2017-2018. Due to the permeability property of soil, the derived percolation rate in fluxes in deeper depth are lower than in upper depth of each soil type in the study area. The amount percolation is the highest for sand clay loam and the lowest for clay. The experiment data are in accordance with the percolation rate of sand clay loam (2.3 mm/day) in Phitsanulok, Thailand [25, 26]. Table 3 Average percolation rates of 3 soil types in dry and wet periods of 2017-2018 Soil type Period Wet 2017 Dry 2017 Wet 2018 Dry 2018 Annual 2017 - 2018 Days 238 146 251 30 384 Effective rainfall (mm) 1651.72 143.08 1872.46 56.4 1794.8 Rainfall intensity (mm/day) 6.94 0.98 7.46 1.88 4.67 Sand clay loam Percolation rate 1m (mm/day) 5.37 0.47 5.71 0.25 3.51 Percolation rate 2m (mm/day) 4.46 0.31 4.55 0.22 2.88 Percolation rate 3m (mm/day) 4.05 0.24 4.08 0.22 2.6 Percolation rate 4m (mm/day) 2.97 0.15 3.3 0.18 1.9 Percolation rate 5m (mm/day) 2.51 0.11 2.73 0.19 1.6 Percolation ratio (-) 0.36 0.11 0.37 0.1 0.34 Sand clay Percolation rate 1m (mm/day) 5.27 0.25 5.17 0.29 3.36 Percolation rate 2m (mm/day) 4.33 0.2 4.87 0.25 2.76 Percolation rate 3m (mm/day) 4.26 0.17 4.5 0.2 2.7 Percolation rate 4m (mm/day) 3.01 0.13 3.12 0.17 1.92 Percolation rate 5m (mm/day) 1.95 0.1 2.26 0.15 1.25 Percolation ratio (-) 0.28 0.1 0.3 0.08 0.27 Clay Percolation rate 1m (mm/day) 3.34 0.4 3.49 0.23 2.22 Percolation rate 2m (mm/day) 2.74 0.11 3.4 0.21 1.74 Percolation rate 3m (mm/day) 2.13 0.08 3.22 0.19 1.35 Percolation rate 4m (mm/day) 1.45 0.08 2.48 0.15 0.7 Percolation rate 5m (mm/day) 1.08 0.08 1.71 0.13 0.15 Percolation ratio (-) 0.16 0.08 0.23 0.07 0.04
  • 8. Tran Thanh Long, Sucharit Koontanakulvong http://www.iaeme.com/IJCIET/index.asp 410 editor@iaeme.com Figure 8 Average monthly percolation rate of sand clay and effective rainfall The percolation fluxes were compared with effective rainfall to find the percolation rate function of the study area. Figure 9a demonstrates percolation rate function with average monthly effective rainfall. The highest percolation rate is sand clay loam and the lowest is clay. The deep percolation rates are affected from rainfall intensity. Under rainfall intensity 4- 14mm/day, the average monthly percolation rate of sand clay loam, sand clay, and clay are in range 2-4.5 mm/day, 1.5-3.5 mm/day, and 0.5-2 mm/day, respectively. Besides, this experiment also reveals that grain size of soil and percentage of sand has strong relationship with percolation flux in wet period (as shown in Figure 8 and 9b), i.e., the higher sand percentage gives higher percolation rate. Figure 9 Percolation functions of soil types and in the wet and dry periods 4. CONCLUSIONS The field sensor measurement system was successfully installed in three locations in the Saigon Basin, Vietnam and the daily deep percolation of 3 soil types (sand clay loam, sand clay, clay) were analyzed by using the Hydrus 1D model calibrated by the daily field experimental data from Oct 2017- Dec 2018 in the study area. The average monthly percolation rates of three soil type pattern correspond to effective rainfall, rainfall intensity and soil type. The deep percolation proceeds mainly in wet period, while dry period gave very low percolation (as an example in Figure 8). The percolation rate at 5 meter depth is in range 0-4 mm/day. Average percolation rates of three soil type are
  • 9. Deep Percolation Charactertistics Via Soil Moisture Sensor Approach in Saigon River Basin, Vietnam http://www.iaeme.com/IJCIET/index.asp 411 editor@iaeme.com analyzed in dry and wet periods of Apr 2017-Dec 2018. Due to the permeability property of soil, the derived percolation rate in fluxes in deeper depth are lower than in upper depth of each soil type in the study area. The percolation is the highest for sand clay loam and the lowest for clay. The average monthly percolation rate of sand clay loam, sand clay, and clay varies 2-4.5 mm/day, 1.5-3.5 mm/day, and 0.5-2 mm/day, respectively to rainfall intensity 4- 14mm/day. Besides, grain size of soil and percentage of sand has strong relationship with percolation flux in wet period, i.e., the higher sand percentage gives higher percolation rate. This experiment presented an insights approach to estimate better deep percolation from effective rainfall via field soil moisture sensor system. The approach assisted to give better understanding relationships of deep percolation with effective rainfall, rainfall intensity and soil type. The experiment gave an insight on deeper percolation characteristics as well as potential land recharge from rainfall utilizing soil moisture approach for future groundwater balance evaluation. ACKNOWLEDGEMENTS This paper could not be accomplished without the support of Ph. D sandwich program scholarship from AUN – Seed net and the Water Resources System Research Unit of Faculty of Engineering, Chulalongkorn University. The authors also thank to the staff at Division for Water Resources Planning and Investigation for the South of Vietnam, Southern Regional Hydrometeorology Center Department of Resources and Environmental for data collection. REFERENCES [1] Koontanakulvong S., and Siriputtichaikul P., Groundwater Modeling In the North Part of the Lower Central Plain, Thailand. in International Conference On Water and Environment, Bhopal, India, Vol. Ground Water Pollution. 2003. [2] Tran Thanh Long and Koontanakulvong Sucharit. Groundwater and River Interaction Impact to Aquifer System in Saigon River Basin, Vietnam. under submitted to Engineering Journal, 2019. [3] Reddy, S.J., A simple method of estimating the soil water balance. Agricultural Meteorology, 1983. 28(1): p. 1-17. [4] Lal, R. Current research on crop water balance and implications for the future. Proceedings of the International Workshop of the Soil Water Balance in the Sudano- Sahelian Zone, Niamey, Niger. 1991. [5] Kumar, C., Estimation of natural ground water recharge. ISH Journal of hydraulic Engineering, 1997. 3(1): p. 61-74. [6] Feltrin, R.M., et al., Lysimeter soil water balance evaluation for an experiment developed in the Southern Brazilian Atlantic Forest region. Hydrological Processes, 2011. 25(15): p. 2321-2328. [7] Tsujimura, M., et al., Behavior of subsurface water revealed by stable isotope and tensiometric observation in the Tibetan Plateau. Journal of the Meteorological Society of Japan. Ser. II, 2001. 79(1B): p. 599-605. [8] Khalil, M., et al., Analysis of zero flux plane behavior under periodical water supply. Transactions of the Japanese Society of Irrigation, Drainage and Reclamation Engineering, Japan, 2006. [9] Yeh, H.-F., et al., Estimation of groundwater recharge using water balance model. Water Resources, 2007. 34(2): p. 153-162. [10] Cao, G., Recharge estimation and sustainability assessment of groundwater resources in the North China Plain. 2011: The University of Alabama.
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