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Numerical and analytical solution
for natural gas production
from methane hydrate dissociation
By:
Behzad Hosseinzadeh
Introduction
 Definition of the Natural Gas Hydrates
 Where they can be found
 Hydrate dissociation conditions
 The problem of hydrate dissociation
2
+
1m3
164m3
0.8m3
STP
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
The problem of hydrate dissociation
 hydrate dissociation → gasification of the drilling fluid → lowering
of mud density → changes mud rheology → lowering hydrostatic
pressure → further dissociation → wellbore enlargement and
wellbore collapse
 hydrate dissociation → change of mechanical and petrophysical
properties of the sediment → increase in permeability →
reduction in strength of the sediments
3
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
Some of the techniques adopted so far to avoid the risks of drilling in HBS
1. Cooling the drilling fluid
2. Increasing the mud weight
3. Adding chemical inhibitors and kinetic additives to the drilling fluid
4. Accelerating drilling by running casing immediately after hydrate are
encountered and using a cement of high strength and low heat of
hydration
4
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
Production techniques
1. Thermal Injection
2. Inhibitors
3. Depressurisation
5
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
Review of Hydrate Reservoir Simulation Models
6
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
Santanu Khataniar
1. Hydrate dissociation occurs as soon as the reservoir pressure drops below the
dissociation pressure for the hydrate at the reservoir pressure. The gas flows
immediately to the free gas zone.
2. Hydrate decomposition is proportional to depressurization rate, and follows a first
order kinetic model.
3. Rock and water expansion during gas production are negligible.
4. The model neglects heat transfer between reservoir and surroundings.
5. The reservoir is produced from a single well located at the center.
Analytical Model
7
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
Hydrate zone
Free gas zone
Analytical Model
8
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
 for a closed system, the total volumetric change must be zero
 using mass balance principles
GHi , GHr = initial and remaining gas in the form of hydrate, BgH = reservoir hydrate volumetric factor ,φ=
reservoir porosity, SWi = initial water saturation , ∆hH = change in hydrate zone thickness, Gfi , Gp , GeH =
initial free gas, total gas production and gas produced from hydrate ,Bgi , Bg = reservoir gas volumetric
factor, Wp , WeH = total water production and water produced from hydrate dissociation, hg = gas zone
thickness
 After substitution , we have
Analytical Model
9
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
 The volumes of initial free gas and initial gas in the
form of hydrates (hydrated gas) in place are given by:
 The ratio of initial free gas volume to initial hydrate volume is:
 then
 The water production rate is given by:
 The pressure derivative respect to time is
obtained from material balance equation
as:
Analytical Model
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
 This is done by using the approximation:
 Z-factor is also pressure-dependent, and can be estimated using the Hall-Yarborough
equation
Results of analytical
11
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
1. The gas hydrate in our assumed simulation is SI type, without the salt consideration;
2. Two-phase flow accords with Darcy’s law, and hydrate is stagnant in porous media;
3. The absolute permeability of porous media is the function of hydrate saturation;
4. The generated gas does not dissolve in water, and without hydrate reformation;
5. The diffusion and the dispersion are neglected in mass transportation;
6. There is no ice phase during the whole dissociation;
7. isothermal hydrate
8. the hydrate-bearing sediments are rigid and do not deform during hydrate dissociation.
Numerical Model
12
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
Model
13
 Infiltration equation  Initial conditions
 Supplemental formula
 Auxiliary equation
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
Results
14
 Introduction
 The problem
of hydrate
dissociation
 Some of the
techniques
 Production
techniques
 Review
 Analytical
Model
 Results of
analytical
 Numerical
Model
 Results of
numerical
15

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Numerical and analytical solution for natural gas production from methane hydrate dissociation

  • 1. Numerical and analytical solution for natural gas production from methane hydrate dissociation By: Behzad Hosseinzadeh
  • 2. Introduction  Definition of the Natural Gas Hydrates  Where they can be found  Hydrate dissociation conditions  The problem of hydrate dissociation 2 + 1m3 164m3 0.8m3 STP  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical
  • 3. The problem of hydrate dissociation  hydrate dissociation → gasification of the drilling fluid → lowering of mud density → changes mud rheology → lowering hydrostatic pressure → further dissociation → wellbore enlargement and wellbore collapse  hydrate dissociation → change of mechanical and petrophysical properties of the sediment → increase in permeability → reduction in strength of the sediments 3  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical
  • 4. Some of the techniques adopted so far to avoid the risks of drilling in HBS 1. Cooling the drilling fluid 2. Increasing the mud weight 3. Adding chemical inhibitors and kinetic additives to the drilling fluid 4. Accelerating drilling by running casing immediately after hydrate are encountered and using a cement of high strength and low heat of hydration 4  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical
  • 5. Production techniques 1. Thermal Injection 2. Inhibitors 3. Depressurisation 5  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical
  • 6. Review of Hydrate Reservoir Simulation Models 6  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical Santanu Khataniar
  • 7. 1. Hydrate dissociation occurs as soon as the reservoir pressure drops below the dissociation pressure for the hydrate at the reservoir pressure. The gas flows immediately to the free gas zone. 2. Hydrate decomposition is proportional to depressurization rate, and follows a first order kinetic model. 3. Rock and water expansion during gas production are negligible. 4. The model neglects heat transfer between reservoir and surroundings. 5. The reservoir is produced from a single well located at the center. Analytical Model 7  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical Hydrate zone Free gas zone
  • 8. Analytical Model 8  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical  for a closed system, the total volumetric change must be zero  using mass balance principles GHi , GHr = initial and remaining gas in the form of hydrate, BgH = reservoir hydrate volumetric factor ,φ= reservoir porosity, SWi = initial water saturation , ∆hH = change in hydrate zone thickness, Gfi , Gp , GeH = initial free gas, total gas production and gas produced from hydrate ,Bgi , Bg = reservoir gas volumetric factor, Wp , WeH = total water production and water produced from hydrate dissociation, hg = gas zone thickness  After substitution , we have
  • 9. Analytical Model 9  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical  The volumes of initial free gas and initial gas in the form of hydrates (hydrated gas) in place are given by:  The ratio of initial free gas volume to initial hydrate volume is:  then  The water production rate is given by:  The pressure derivative respect to time is obtained from material balance equation as:
  • 10. Analytical Model  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical  This is done by using the approximation:  Z-factor is also pressure-dependent, and can be estimated using the Hall-Yarborough equation
  • 11. Results of analytical 11  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical
  • 12. 1. The gas hydrate in our assumed simulation is SI type, without the salt consideration; 2. Two-phase flow accords with Darcy’s law, and hydrate is stagnant in porous media; 3. The absolute permeability of porous media is the function of hydrate saturation; 4. The generated gas does not dissolve in water, and without hydrate reformation; 5. The diffusion and the dispersion are neglected in mass transportation; 6. There is no ice phase during the whole dissociation; 7. isothermal hydrate 8. the hydrate-bearing sediments are rigid and do not deform during hydrate dissociation. Numerical Model 12  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical
  • 13. Model 13  Infiltration equation  Initial conditions  Supplemental formula  Auxiliary equation  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical
  • 14. Results 14  Introduction  The problem of hydrate dissociation  Some of the techniques  Production techniques  Review  Analytical Model  Results of analytical  Numerical Model  Results of numerical
  • 15. 15