About the book series |
|
vii | |
Editorial board |
|
ix | |
Foreword |
|
xvii | |
|
Authors' preface |
|
xix | |
About the authors |
|
xxi | |
Acknowledgements |
|
xxiii | |
|
1 Introduction to continuum damage mechanics for rock-like materials |
|
|
1 | (18) |
|
|
1 | (1) |
|
1.2 The Barcelona model: scalar damage with different behaviors for tension and compression |
|
|
2 | (3) |
|
1.2.1 Uniaxial behavior of the Barcelona model |
|
|
3 | (1) |
|
|
4 | (1) |
|
|
5 | (1) |
|
|
5 | (1) |
|
1.3 Mazars's holonomic form of continuum damage model |
|
|
5 | (3) |
|
|
5 | (2) |
|
1.3.2 Criterion of damage initiation |
|
|
7 | (1) |
|
1.3.3 Damage evolution law |
|
|
7 | (1) |
|
1.4 Subroutine for UMAT and a plastic damage model with stress triaxiality-dependent hardening |
|
|
8 | (11) |
|
|
8 | (1) |
|
1.4.2 Formulation of the proposed model |
|
|
8 | (4) |
|
1.4.3 Numerical validation of constitutive model at the local level |
|
|
12 | (5) |
|
|
17 | (2) |
|
2 Optimizing multistage hydraulic-fracturing design based on 3D continuum damage mechanics analysis |
|
|
19 | (12) |
|
|
19 | (1) |
|
|
20 | (1) |
|
|
21 | (8) |
|
2.3.1 Background description of the tasks |
|
|
22 | (1) |
|
2.3.2 3D geomechanical model at field scale |
|
|
22 | (1) |
|
2.3.3 Numerical results of the geomechanical model at field scale |
|
|
23 | (1) |
|
2.3.4 Submodel for stimulation process simulation |
|
|
23 | (2) |
|
2.3.5 The plastic damage model |
|
|
25 | (3) |
|
2.3.6 Determination of the optimized stage interval based on numerical solutions |
|
|
28 | (1) |
|
2.3.7 Determination of the optimized well spacing based on numerical solutions |
|
|
29 | (1) |
|
|
29 | (2) |
|
3 Numerical analysis of the interaction between two zipper fracture wells using the continuum damage method |
|
|
31 | (12) |
|
|
31 | (1) |
|
3.2 Submodel for stimulation process simulation |
|
|
32 | (8) |
|
|
40 | (3) |
|
4 Integrated workflow for feasibility study of cuttings reinjection based on 3D geomechanical analysis and case study |
|
|
43 | (30) |
|
|
43 | (2) |
|
4.2 The integrated workflow |
|
|
45 | (3) |
|
4.3 Fault reactivation analysis |
|
|
48 | (1) |
|
4.3.1 Fluid migration resulting from fault reactivation |
|
|
49 | (1) |
|
4.3.2 Estimation of maximum intensity level of seismic behavior of the fault |
|
|
49 | (1) |
|
4.4 Examples of validation |
|
|
49 | (16) |
|
4.4.1 Location selection of the injection well |
|
|
50 | (1) |
|
|
50 | (1) |
|
4.4.3 Values of material parameters |
|
|
50 | (1) |
|
|
51 | (1) |
|
|
52 | (1) |
|
4.4.6 Numerical results of principal stress ratio |
|
|
52 | (1) |
|
4.4.7 Selection of the true vertical depth interval of the perforation section |
|
|
53 | (1) |
|
4.4.8 Fracture simulation: calculation of injection pressure window |
|
|
53 | (9) |
|
4.4.9 Fault reactivation and fluid migration |
|
|
62 | (3) |
|
4.5 Fault reactivation and seismicity analysis |
|
|
65 | (5) |
|
4.5.1 Analytical equation used to calculate the magnitude of seismic activity |
|
|
65 | (2) |
|
4.5.2 Assumptions and simplifications adopted in the finite element method |
|
|
67 | (1) |
|
|
68 | (1) |
|
|
69 | (1) |
|
4.5.5 Prediction of the volume of fluid with cuttings that can be injected |
|
|
70 | (1) |
|
|
70 | (3) |
|
5 Geomechanics-based wellbore trajectory optimization for tight formation with natural fractures |
|
|
73 | (10) |
|
|
73 | (1) |
|
5.2 Determining optimized trajectory in terms of the CSF concept |
|
|
74 | (2) |
|
5.2.1 Workflow for the selection of an optimized trajectory |
|
|
74 | (1) |
|
5.2.2 Numerical application |
|
|
75 | (1) |
|
5.3 Trajectory optimization focusing on a fracturing design for a disturbed field |
|
|
76 | (6) |
|
5.3.1 The solution of the disturbed geostress field and F for non-zero αsf |
|
|
78 | (2) |
|
5.3.2 The solution of the disturbed geostress field and F for zero αsf |
|
|
80 | (2) |
|
|
82 | (1) |
|
6 Numerical solution of widened mud weight window for drilling through naturally fractured reservoirs |
|
|
83 | (20) |
|
|
83 | (1) |
|
6.2 Model description: theory |
|
|
84 | (3) |
|
|
84 | (1) |
|
6.2.2 Damage initiation criterion |
|
|
85 | (1) |
|
6.2.3 Damage evolution law |
|
|
85 | (1) |
|
6.2.4 Finite element type: the cohesive element |
|
|
86 | (1) |
|
6.3 Fluid flow model of the cohesive element |
|
|
87 | (1) |
|
6.3.1 Defining pore fluid flow properties |
|
|
87 | (1) |
|
|
87 | (1) |
|
|
88 | (1) |
|
|
88 | (1) |
|
6.3.5 Normal flow across gap surfaces |
|
|
88 | (1) |
|
6.4 Validation example: widened mud weight window for simple cases |
|
|
88 | (5) |
|
|
89 | (1) |
|
|
89 | (1) |
|
|
89 | (1) |
|
|
89 | (1) |
|
6.4.5 Values of material parameter |
|
|
90 | (1) |
|
6.4.6 Procedure for numerical simulation of natural fracture opening under injection |
|
|
91 | (1) |
|
6.4.7 Numerical results Case 1: injecting process, fracture opening, and propagation |
|
|
91 | (1) |
|
6.4.8 Numerical results Case 2: static process after injection, fracture remains open |
|
|
91 | (2) |
|
|
93 | (1) |
|
6.6 Case Study 1: widened mud weight window (MWW) for subsalt well in deepwater Gulf of Mexico |
|
|
94 | (2) |
|
|
94 | (2) |
|
6.7 Case Study 2: widened MWW for drilling in shale formation |
|
|
96 | (6) |
|
6.7.1 Description of the well section in a shale gas formation |
|
|
96 | (1) |
|
6.7.2 ID geomechanics analysis |
|
|
97 | (2) |
|
6.7.3 Hydraulic plugging numerical analysis |
|
|
99 | (3) |
|
|
102 | (1) |
|
7 Numerical estimation of upper bound of injection pressure window with casing integrity under hydraulic fracturing |
|
|
103 | (14) |
|
|
103 | (3) |
|
|
106 | (3) |
|
|
109 | (6) |
|
7.3.1 Initial pore pressure |
|
|
109 | (1) |
|
7.3.2 Initial geostress field: sequence and direction of principal stress, and initial pore pressure |
|
|
109 | (1) |
|
7.3.3 Casing: geometric parameters, material parameters |
|
|
110 | (1) |
|
7.3.4 Cement ring: geometric parameters, material parameters |
|
|
110 | (1) |
|
7.3.5 Mechanical properties of the rock formations |
|
|
110 | (1) |
|
7.3.6 Stiffness degradation |
|
|
111 | (1) |
|
|
111 | (1) |
|
7.3.8 Boundary conditions to the global model |
|
|
111 | (1) |
|
7.3.9 Finite element mesh of the global model |
|
|
111 | (1) |
|
7.3.10 Finite element mesh of the submodel |
|
|
111 | (2) |
|
7.3.11 Numerical results of casing deformation |
|
|
113 | (2) |
|
|
115 | (2) |
|
8 Damage model for reservoir with multisets of natural fractures and its application in the simulation of hydraulic fracturing |
|
|
117 | (14) |
|
|
117 | (1) |
|
8.2 Expression of natural fractures with continuum-damage variable |
|
|
118 | (2) |
|
8.3 Damage initiation condition |
|
|
120 | (1) |
|
|
120 | (1) |
|
8.5 Damage-dependent permeability |
|
|
120 | (1) |
|
8.6 Validation example: hydraulic fracturing of formation with natural fractures |
|
|
121 | (8) |
|
8.6.1 Geometrical information of natural fractures |
|
|
121 | (1) |
|
8.6.2 Damage tensor calculated using natural fracture information |
|
|
122 | (1) |
|
8.6.3 Numerical simulation of hydraulic fracturing of a formation with natural fractures |
|
|
123 | (6) |
|
|
129 | (2) |
|
9 Construction of complex initial stress field and stress re-orientation caused by depletion |
|
|
131 | (14) |
|
|
131 | (1) |
|
9.2 Construct initial stress field with a local model of complex stress pattern |
|
|
132 | (8) |
|
9.2.1 Geology and one-dimensional (1D) geomechanics solution |
|
|
132 | (3) |
|
9.2.2 Finite element model |
|
|
135 | (3) |
|
|
138 | (2) |
|
9.3 Construction of initial geostress field and simulation of stress variation caused by pore pressure depletion |
|
|
140 | (4) |
|
9.3.1 Geological structure in the region |
|
|
140 | (1) |
|
9.3.2 Gas production plan |
|
|
140 | (1) |
|
9.3.3 Finite element model |
|
|
141 | (1) |
|
|
142 | (2) |
|
|
144 | (1) |
|
10 Information transfer software from finite difference grid to finite element mesh |
|
|
145 | (4) |
|
|
145 | (1) |
|
10.2 Description of principle |
|
|
145 | (2) |
|
10.3 Numerical validation |
|
|
147 | (1) |
|
|
148 | (1) |
Nomenclature |
|
149 | (4) |
References |
|
153 | (6) |
Subject Index |
|
159 | (8) |
Book series page |
|
167 | |