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Simulation Study of The Effect of Well Spacing, Permeability Anisotropy, and Palmer and Mansoori Model on Coalbed Methane Production  Ismail Zulkarnain Harold Vance Department  of Petroleum Engineering.  Texas A&M University 25 th  July, 2005
Outline  2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Objectives  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],3
CBM in the United States ,[object Object],[object Object],[object Object],[object Object],[object Object],From Kentucky Geological Survey 4
US Coalbed Methane Resource  5 “  Coalbed methane activity is increasing in the U.S., the world leader in reserves and production,  due to recent high gas prices and dwindling  conventional gas supplies”  Walter B. Ayers
US Coalbed Methane Resource  5 Proved Reserves 18,743  bcf US Production (2003) 1600  bcf 8% of US dry gas production
Sandstones and Coal Reservoirs Surface Area of Coals are in the range of;  2,150 – 3,250 ft 2 /g   (SOURCE: Marsh (3), 1965) ,[object Object],6 If average surface area of coal is 2700 ft 2 /g,  16 gram of coal has surface area equal to a football field area. 295ft x 147 ft Surface Area Can EQUAL Micro-particle of Coal A block of Coal
CBM and Conventional Natural Gas  7 Typical Conventional Natural Gas CBM Depth 150 to 3000m 150 to 1500m Water Rates may increase during production Rates typically decreases during production life Well Spacing Normally, 1 well per square mile but density may be increased 2 to 8 wells per square mile Gas Storage Stored in macropores  or fractures Stored as adsorbed gas on the coal matrix
Reservoir Characteristics of Coal ,[object Object],[object Object],[object Object],[object Object],8
Reservoir Characteristics of Coal 9
Coalbed Recovery Mechanism  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],10 q g , q w
Schematic of Coalbed Methane Well 11 PUMP GAS COAL WATER CEMENT OVERBURDEN Water (Sand, shale, and thinner coal beds) PUMP MAY BE SET IN COAL RATHER THAN IN RAT HOLE
Adsorption and Desorption (Sorption) in Coal 12
Langmuir Theory of Single Molecule Adsorption 13
Reservoir Mechanism 14 Coalbed Adsorption Phenomenon
Reservoir Mechanism 15
Adsorption Phenomena  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],16 Adsorption
Langmuir Equation ,[object Object],[object Object],(Seidle et al, 1990) Where ; V(p) =  gas content ( scf/ft 3 ) V L =  Langmuir volume ( scf/ft 3 ) (Saturated monolayer volume) p =  gas pressure ( psi ) p L =  Langmuir pressure   (Pressure at half of the Langmuir volume)   www.hycal.com (2004 CIPC Session 31) 17
Langmuir Adsorption 18 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Langmuir Sorption Isotherm “ Single layer sorption theory” Developed in 1916 by Irving Langmuir Gas Concentration, scf/ton Pressure, psi 19 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Theoretical Isotherm; P i = P d   ;  p d = p m Undersaturated Isotherm;  P i > P d  ;  p d = p m P d
Dual Porosity Model  (Coalbed modeling) Warren and Root (paper SPE 426 ) ,[object Object],[object Object],[object Object],20 Fracture Cell, “f” Matrix Cell, “m” Actual Reservoir Model Reservoir Matrix Fracture Matrix Fracture Warren & Root Coal Bed Methane Initial Gas Storage Free gas in pores  OR Fractures(Cleats ) Adsorbed to coal OR Free gas in fractures Matrix / fracture flow “ Pseudo Steady State Model” Darcy’s Law Fick’s Law (Diffusion)
Diffusive Flow of Gas in CBM Reservoirs ,[object Object],[object Object],[object Object],[object Object],[object Object],21 Average gas  concentration in the matrix Concentration in the outer  surface of the coal
Simulation Details  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],22 Producer
Simulation Details  23
Relative Permeability Curves  24
Well Spacing Effect 25
80 acre spacing
40 acre spacing
80 acre spacing
20 acre spacing
80 acre spacing
Well Spacing Effect Comparison of an 80 acre well and a 40 acre well 27
Simulation scenarios 28 y = 1866.76 ft x = 1866.76 ft 80 acre-Isotropic Reservoir A y = 1320 ft x = 1320 ft 40 acre-Isotropic Reservoir B
Gas rate (scf/day) per well basis 29
Water rate (bbl/day) per well basis 30
Comparison of 80 acre spacing, 40 acre spacing, 20 acre spacing,  and 5 acre spacing  on an 80 acre reservoir 31
32 Reservoir model y = 1866.76 ft x = 1866.76 ft Isotropic-Square Reservoir System 80 acre
Simulation scenarios 33 80 acre reservoir with 20 acre spacing A B C D 80 acre reservoir with 80 acre spacing 80 acre reservoir with 40 acre spacing 80 acre reservoir with 5 acre spacing
Gas rate (scf/day) per field basis 34
Water rate (scf/day) per field basis 35
RF Gas (fraction) per field basis 36
RF Water (fraction) per field basis 37
RF Water (fraction) per field basis 38
Permeability Anisotropy 39
40 Problem Statement ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
41 Problem Statement y x  Anisotropic - Reservoir System Permeability in x-direction is higher than permeability in y-direction Butt Cleats Face Cleats
42 Reservoir model y = 1866.76 ft x = 1866.76 ft Anisotropic-Square Reservoir System (k X =1 md and k Y =0.01 md)
43 Effect of well configuration on anisotropic reservoir ,[object Object],[object Object],[object Object],[object Object],[object Object]
44 Effect of well configuration on anisotropic reservoir ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
45 Effect of well configuration on anisotropic reservoir ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Gas rate (scf/day) per field basis 46
Water rate (scf/day) per field basis 47
RF Gas (fraction) per field basis 48
RF Water (fraction) per field basis 49
Tabulated results (Well configuration) 50
Palmer and Mansoori Theory 51
[object Object],[object Object],[object Object],52 Palmer and Mansoori model
53 Cleats compression k Overburden pressure coal matrix fracture (a) Before cleats compression (b) After cleats compression
54 Matrix shrinkage Width of cleats after shrinkage Coal matrix after shrinkage Width of cleats before shrinkage Coal matrix before shrinkage Fractures/cleats Coal matrix  Coal matrix  Coal matrix  k
55 Palmer and Mansoori model Cleats Compression Matrix Shrinkage
56 Palmer and Mansoori model
57 Palmer and Mansoori model
58 Palmer and Mansoori model It has an implication on the gas production:
Sensitivity Analysis on Palmer and Mansoori Model Parameters  59
Sensitivity Cases  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],60
Young’s modulus 61
62 Young’s modulus
62 Young’s modulus,  E
62 Poisson Ratio,  ν
62 Bulk modulus,  K
62 Young’s modulus, E
62 Young’s modulus, E
63 Young’s Modulus
Poisson’s Ratio 64
Poisson’s Ratio  65
66 Poisson’s Ratio
Strain Maximum  67
Strain Maximum  68
69 Strain Maximum
Conclusions  ,[object Object],[object Object],[object Object],[object Object],70 ,[object Object],[object Object],[object Object],[object Object]
Conclusions  ,[object Object],[object Object],[object Object],[object Object],[object Object],71
Nusantara Archipelago, Indonesia-Southeast Asia Thank You
Simulation Study of The Effect of Well Spacing, Permeability Anisotropy, and Palmer and Mansoori Model on Coalbed Methane Production  Ismail Zulkarnain Harold Vance Department  of Petroleum Engineering.  Texas A&M University 25 th  July, 2005
[object Object],Diffusive Flow of Gas ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
RF Gas (fraction) per well basis
RF Water (fraction) per well basis
Tabulated Result
Young’s modulus
Young’s modulus
Poisson’s ratio
Poisson’s ratio
Strain maximum
Strain maximum
Reservoir Model 30 ft   1866.76 ft   1866.76 ft
Transformation (Wattenbarger and Arrevallo) Simulation: Isotropic-Rectangular Reservoir System (k = 0.1) x = 590.32 ft y = 5903.2 ft b y = 1866.76 ft x = 1866.76 ft Anisotropic-Square Reservoir System (k X =1 md and k Y =0.01 md) a
Dual Porosity (Warren and Root) (a) (b)
Diffusion and Flow of Methane (a) (b) (c)
Scenario A y-direction/low permeability x-direction/high permeability
Scenario B y-direction/low permeability x-direction/high permeability
Scenario C y-direction/low permeability x-direction/high permeability

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Oral defense (modified)