{"product_id":"supercharge-invasion-and-mudcake-growth-in-downhole-applications-hardback-9781119283324","title":"Supercharge, Invasion, and Mudcake Growth in Downhole Applications (Hardback) 9781119283324","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSupercharge, Invasion, and Mudcake Growth in Downhole Applications\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eTao Lu (Edited by), W Chin (Author), Xiaofei Qin (Edited by), Yongren Feng (Edited by), Yanmin Zhou (Edited by), Wilson C. Chin (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781119283324, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 August 2021\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e528 pages\u003cbr\u003e1 x 1 x 1 cm, 0.454 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003eMysterious \"supercharge effects,\" encountered in formation testing pressure transient analysis, and reservoir invasion, mudcake growth, dynamic filtration, stuck-pipe remediation, and so on, are often discussed in contrasting petrophysical versus drilling contexts.  However, these effects are physically coupled and intricately related. The authors focus on a comprehensive formulation, provide solutions for different specialized limits, and develop applications that illustrate how the central ideas can be used in seemingly unrelated disciplines. This approach contributes to a firm understanding of logging and drilling principles. Fortran source code, furnished where applicable, is listed together with recently developed software applications and conveniently summarized throughout the book. In addition, common (incorrect) methods used in the industry are re-analyzed and replaced with more accurate models, which are then used to address challenging field objectives.\u003c\/p\u003e \u003cp\u003eSophisticated mathematics is explained in \"down to earth\" terms, but empirical validations, in this case through Catscan experiments, are used to \"keep predictions honest.\" Similarly, early-time, low mobility, permeability prediction models used in formation testing, several invented by one of the authors, are extended to handle supercharge effects in overbalanced drilling and near-well pressure deficits encountered in underbalanced drilling. These methods are also motivated by reality. For instance, overpressures of 2,000 psi and underpressures near 500 psi are routinely reported in field work, thus imparting a special significance to the methods reported in the book.\u003c\/p\u003e \u003cp\u003eThis new volume discusses old problems and modern challenges, formulates and develops advanced models applicable to both drilling and petrophysical objectives. The presentation focuses on central unifying physical models which are carefully formulated and mathematically solved. The wealth of applications examples and supporting software discussed provides readers with a unified focus behind daily work activities, emphasizing common features and themes rather than unrelated methods and work flows. This comprehensive book is \"must\" reading for every petroleum engineer.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003eAcknowledgements xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Pressure Transient Analysis and Sampling in Formation Testing 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003ePressure transient analysis challenges 1\u003c\/p\u003e \u003cp\u003eBackground development 3\u003c\/p\u003e \u003cp\u003e1.1 Conventional Formation Testing Concepts 5\u003c\/p\u003e \u003cp\u003e1.2 Prototypes, Tools and Systems 6\u003c\/p\u003e \u003cp\u003e1.2.1 Enhanced Formation Dynamic Tester (EFDT\u003csup\u003e®\u003c\/sup\u003e) 9\u003c\/p\u003e \u003cp\u003e1.2.2 Basic Reservoir Characteristic Tester (BASIC-RCT\u003csup\u003e™\u003c\/sup\u003e) 13\u003c\/p\u003e \u003cp\u003e1.2.3 Enhancing and enabling technologies 15\u003c\/p\u003e \u003cp\u003eStuck tool alleviation 16\u003c\/p\u003e \u003cp\u003eField facilities 17\u003c\/p\u003e \u003cp\u003e1.3 Recent Formation Testing Developments 17\u003c\/p\u003e \u003cp\u003e1.4 References 20\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Spherical Source Models for Forward and Inverse Formulations 21\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Basic Approaches, Interpretation Issues and Modeling Hierarchies 23\u003c\/p\u003e \u003cp\u003eEarly steady flow model 23\u003c\/p\u003e \u003cp\u003eSimple drawdown-buildup models 23\u003c\/p\u003e \u003cp\u003eAnalytical drawdown-buildup solution 25\u003c\/p\u003e \u003cp\u003ePhase delay analysis 26\u003c\/p\u003e \u003cp\u003eModeling hierarchies 28\u003c\/p\u003e \u003cp\u003e2.2 Basic Single-Phase Flow Forward and Inverse Algorithms 36\u003c\/p\u003e \u003cp\u003e2.2.1 Module FT-00 36\u003c\/p\u003e \u003cp\u003e2.2.2 Module FT-01 37\u003c\/p\u003e \u003cp\u003e2.2.3 Module FT-03 38\u003c\/p\u003e \u003cp\u003e2.2.4 Forward model application, Module FT-00 39\u003c\/p\u003e \u003cp\u003e2.2.5 Inverse model application, Module FT-01 41\u003c\/p\u003e \u003cp\u003e2.2.6 Effects of dip angle 43\u003c\/p\u003e \u003cp\u003e2.2.7 Inverse “pulse interaction” approach using FT-00 46\u003c\/p\u003e \u003cp\u003e2.2.8 FT-03 model overcomes source-sink limitations 49\u003c\/p\u003e \u003cp\u003e2.2.9 Module FT-04, phase delay analysis, introductory for now 52\u003c\/p\u003e \u003cp\u003e2.2.10 Drawdown-buildup, Module FT-PTA-DDBU 55\u003c\/p\u003e \u003cp\u003e2.2.11 Real pumping, Module FT-06 59\u003c\/p\u003e \u003cp\u003e2.3 Advanced Forward and Inverse Algorithms 61\u003c\/p\u003e \u003cp\u003e2.3.1 Advanced drawdown and buildup methods Basic steady model 61\u003c\/p\u003e \u003cp\u003eValidating our method 63\u003c\/p\u003e \u003cp\u003e2.3.2 Calibration results and transient pressure curves 65\u003c\/p\u003e \u003cp\u003e2.3.3 Mobility and pore pressure using first drawdown data 67\u003c\/p\u003e \u003cp\u003e2.3.3.1 Run No. 1. Flowline volume 200 cc 68\u003c\/p\u003e \u003cp\u003e2.3.3.2 Run No. 2. Flowline volume 500 cc 69\u003c\/p\u003e \u003cp\u003e2.3.3.3 Run No. 3. Flowline volume 1,000 cc 71\u003c\/p\u003e \u003cp\u003e2.3.3.4 Run No. 4. Flowline volume 2,000 cc 73\u003c\/p\u003e \u003cp\u003e2.3.4 Mobility and pore pressure from last buildup data 74\u003c\/p\u003e \u003cp\u003e2.3.4.1 Run No. 5. Flowline volume 200 cc 74\u003c\/p\u003e \u003cp\u003e2.3.4.2 Run No. 6. Flowline volume 500 cc 76\u003c\/p\u003e \u003cp\u003e2.3.4.3 Run No. 7. Flowline volume 1,000 cc 77\u003c\/p\u003e \u003cp\u003e2.3.4.4 Run No. 8. Flowline volume 2,000 cc 78\u003c\/p\u003e \u003cp\u003e2.3.4.5 Run No. 9. Time-varying flowline volume inputs from FT-07 79\u003c\/p\u003e \u003cp\u003e2.3.5 Phase delay and amplitude attenuation, anisotropic media with dip – detailed theory, model and numerical results 81\u003c\/p\u003e \u003cp\u003e2.3.5.1 Basic mathematical results 82\u003c\/p\u003e \u003cp\u003eIsotropic model 82\u003c\/p\u003e \u003cp\u003eAnisotropic extensions 82\u003c\/p\u003e \u003cp\u003eVertical well limit 83\u003c\/p\u003e \u003cp\u003eHorizontal well limit 83\u003c\/p\u003e \u003cp\u003eFormulas for vertical and horizontal wells 83\u003c\/p\u003e \u003cp\u003eDeviated well equations 84\u003c\/p\u003e \u003cp\u003eDeviated well interpretation for both kh and kv 85\u003c\/p\u003e \u003cp\u003eTwo-observation-probe models 86\u003c\/p\u003e \u003cp\u003e2.3.5.2 Numerical examples and typical results 88\u003c\/p\u003e \u003cp\u003eExample 1. Parameter estimates 89\u003c\/p\u003e \u003cp\u003eExample 2. Surface plots 90\u003c\/p\u003e \u003cp\u003eExample 3. Sinusoidal excitation 91\u003c\/p\u003e \u003cp\u003eExample 4. Rectangular wave excitation 94\u003c\/p\u003e \u003cp\u003eExample 5. Permeability prediction at general dip angles 96\u003c\/p\u003e \u003cp\u003eExample 6. Solution for a random input 98\u003c\/p\u003e \u003cp\u003e2.3.5.3 Layered model formulation 99\u003c\/p\u003e \u003cp\u003e2.3.5.4 Phase delay software interface 100\u003c\/p\u003e \u003cp\u003e2.3.5.5 Detailed phase delay results in layered anisotropic media 103\u003c\/p\u003e \u003cp\u003e2.3.6 Supercharging and formation invasion introduction, with review of analytical forward and inverse models 110\u003c\/p\u003e \u003cp\u003e2.3.6.1 Development perspectives 111\u003c\/p\u003e \u003cp\u003e2.3.6.2 Review of forward and inverse models 113\u003c\/p\u003e \u003cp\u003eFT-00 model 113\u003c\/p\u003e \u003cp\u003eFT-01 model 117\u003c\/p\u003e \u003cp\u003eFT-02 model 118\u003c\/p\u003e \u003cp\u003eFT-06 and FT-07 models 119\u003c\/p\u003e \u003cp\u003eFT–PTA–DDBU model 122\u003c\/p\u003e \u003cp\u003eClassic inversion model 123\u003c\/p\u003e \u003cp\u003eSupercharge forward and inverse models 123\u003c\/p\u003e \u003cp\u003eMultiple drawdown and buildup inverse models 129\u003c\/p\u003e \u003cp\u003eMultiphase invasion, clean-up and contamination 133\u003c\/p\u003e \u003cp\u003eSystem integration and closing remarks 138\u003c\/p\u003e \u003cp\u003e2.3.6.3 Supercharging summaries – advanced forward and inverse models explored 139\u003c\/p\u003e \u003cp\u003eSupercharge math model development 139\u003c\/p\u003e \u003cp\u003eConventional zero supercharge model 141\u003c\/p\u003e \u003cp\u003eSupercharge extension 142\u003c\/p\u003e \u003cp\u003e2.3.6.4 Drawdown only applications 144\u003c\/p\u003e \u003cp\u003eExample DD-1. High overbalance 144\u003c\/p\u003e \u003cp\u003eExample DD-2. High overbalance 150\u003c\/p\u003e \u003cp\u003eExample DD-3. High overbalance 154\u003c\/p\u003e \u003cp\u003eExample DD-4. Qualitative pressure trends 158\u003c\/p\u003e \u003cp\u003eExample DD-5. Qualitative pressure trends 161\u003c\/p\u003e \u003cp\u003eExample DD-6. “Drawdown-only” data with multiple inverse scenarios for 1 md\/cp application 163\u003c\/p\u003e \u003cp\u003eExample DD-7. “Drawdown-only” data with multiple inverse scenarios for 0.1 md\/cp application 168\u003c\/p\u003e \u003cp\u003e2.3.6.5 Drawdown – buildup applications 173\u003c\/p\u003e \u003cp\u003eExample DDBU-1. Drawdown-buildup, high overbalance 173\u003c\/p\u003e \u003cp\u003eExample DDBU-2. Drawdown-buildup, high overbalance 177\u003c\/p\u003e \u003cp\u003eExample DDBU-3. Drawdown-buildup, high overbalance 180\u003c\/p\u003e \u003cp\u003eExample DDBU-4. Drawdown-buildup, 1 md\/cp calculations 184\u003c\/p\u003e \u003cp\u003eExample DDBU-5. Drawdown-buildup, 0.1md\/cp calculations 188\u003c\/p\u003e \u003cp\u003e2.3.7 Advanced multiple drawdown – buildup (or, “MDDBU”) forward and inverse models 193\u003c\/p\u003e \u003cp\u003e2.3.7.1 Software description 193\u003c\/p\u003e \u003cp\u003e2.3.7.2 Validation of PTA-App-11 inverse model 200\u003c\/p\u003e \u003cp\u003e2.3.8 Multiphase flow with inertial effects –Applications to borehole invasion, supercharging, clean-up and contamination analysis 217\u003c\/p\u003e \u003cp\u003e2.3.8.1 Mudcake dynamics 217\u003c\/p\u003e \u003cp\u003e2.3.8.2 Multiphase modeling in boreholes 220\u003c\/p\u003e \u003cp\u003e2.3.8.3 Pressure and concentration displays 222\u003c\/p\u003e \u003cp\u003eExample 1. Single probe, infinite anisotropic media 223\u003c\/p\u003e \u003cp\u003eExample 2. Single probe, three layer medium 228\u003c\/p\u003e \u003cp\u003eExample 3. Dual probe pumping, three layer medium 230\u003c\/p\u003e \u003cp\u003eExample 4. Straddle packer pumping 231\u003c\/p\u003e \u003cp\u003eExample 5. Formation fluid viscosity imaging 233\u003c\/p\u003e \u003cp\u003eExample 6. Contamination modeling 234\u003c\/p\u003e \u003cp\u003eExample 7. Multi-rate pumping simulation 234\u003c\/p\u003e \u003cp\u003e2.4 References 236\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Practical Applications Examples 237\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Non-constant Flow Rate Effects 238\u003c\/p\u003e \u003cp\u003e3.1.1 Constant flow rate, idealized pumping, inverse method 239\u003c\/p\u003e \u003cp\u003e3.1.2 Slow ramp up\/down flow rate 245\u003c\/p\u003e \u003cp\u003e3.1.3 Impulsive start\/stop flow rate 250\u003c\/p\u003e \u003cp\u003eClosing remarks 255\u003c\/p\u003e \u003cp\u003e3.2 Supercharging – Effects of Nonuniform Initial Pressure 256\u003c\/p\u003e \u003cp\u003eConventional zero supercharge model 256\u003c\/p\u003e \u003cp\u003eSupercharge “Fast Forward” solver 258\u003c\/p\u003e \u003cp\u003e3.3 Dual Probe Anisotropy Inverse Analysis 264\u003c\/p\u003e \u003cp\u003e3.4 Multiprobe “DOI,” Inverse and Barrier Analysis 273\u003c\/p\u003e \u003cp\u003e3.5 Rapid Batch Analysis for History Matching 281\u003c\/p\u003e \u003cp\u003e3.6 Supercharge, Contamination Depth and Mudcake Growth in “Large Boreholes” – Lineal Flow 289\u003c\/p\u003e \u003cp\u003eMudcake growth and filtrate invasion 289\u003c\/p\u003e \u003cp\u003eTime-dependent pressure distributions 292\u003c\/p\u003e \u003cp\u003e3.7 Supercharge, Contamination Depth and Mudcake Growth in Slimholes or “Clogged Wells” – Radial Flow 292\u003c\/p\u003e \u003cp\u003e3.8 References 294\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Supercharge, Pressure Change, Fluid Invasion and Mudcake Growth 295\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eConventional zero supercharge model 295\u003c\/p\u003e \u003cp\u003eSupercharge model 296\u003c\/p\u003e \u003cp\u003eRelevance to formation tester job planning 298\u003c\/p\u003e \u003cp\u003eRefined models for supercharge invasion 299\u003c\/p\u003e \u003cp\u003e4.1 Governing equations and moving interface modeling 300\u003c\/p\u003e \u003cp\u003eSingle-phase flow pressure equations 300\u003c\/p\u003e \u003cp\u003eProblem formulation 303\u003c\/p\u003e \u003cp\u003eEulerian versus Lagrangian description 303\u003c\/p\u003e \u003cp\u003eConstant density versus compressible flow 304\u003c\/p\u003e \u003cp\u003eSteady versus unsteady flow 305\u003c\/p\u003e \u003cp\u003eIncorrect use of Darcy’s law 305\u003c\/p\u003e \u003cp\u003eMoving fronts and interfaces 306\u003c\/p\u003e \u003cp\u003eUse of effective properties 308\u003c\/p\u003e \u003cp\u003e4.2 Static and dynamic filtration 310\u003c\/p\u003e \u003cp\u003e4.2.1 Simple flows without mudcake 310\u003c\/p\u003e \u003cp\u003eHomogeneous liquid in a uniform linear core 311\u003c\/p\u003e \u003cp\u003eHomogeneous liquid in a uniform radial flow 313\u003c\/p\u003e \u003cp\u003eHomogeneous liquid in uniform spherical domain 314\u003c\/p\u003e \u003cp\u003eGas flow in a uniform linear core 315\u003c\/p\u003e \u003cp\u003eFlow from a plane fracture 317\u003c\/p\u003e \u003cp\u003e4.2.2 Flows with moving boundaries 318\u003c\/p\u003e \u003cp\u003eLineal mudcake buildup on filter paper 318\u003c\/p\u003e \u003cp\u003ePlug flow of two liquids in linear core without cake 321\u003c\/p\u003e \u003cp\u003e4.3 Coupled Dynamical Problems: Mudcake and Formation Interaction 323\u003c\/p\u003e \u003cp\u003eSimultaneous mudcake buildup and filtrate invasion in a linear core (liquid flows) 323\u003c\/p\u003e \u003cp\u003eSimultaneous mudcake buildup and filtrate invasion in a radial geometry (liquid flows) 327\u003c\/p\u003e \u003cp\u003eHole plugging and stuck pipe 330\u003c\/p\u003e \u003cp\u003eFluid compressibility 331\u003c\/p\u003e \u003cp\u003eFormation invasion at equilibrium mudcake thickness 335\u003c\/p\u003e \u003cp\u003e4.4 Inverse Models in Time Lapse Logging 336\u003c\/p\u003e \u003cp\u003eExperimental model validation 336\u003c\/p\u003e \u003cp\u003eStatic filtration test procedure 337\u003c\/p\u003e \u003cp\u003eDynamic filtration testing 337\u003c\/p\u003e \u003cp\u003eMeasurement of mudcake properties 338\u003c\/p\u003e \u003cp\u003eFormation evaluation from invasion data 338\u003c\/p\u003e \u003cp\u003eField applications 339\u003c\/p\u003e \u003cp\u003eCharacterizing mudcake properties 340\u003c\/p\u003e \u003cp\u003eSimple extrapolation of mudcake properties 341\u003c\/p\u003e \u003cp\u003eRadial mudcake growth on cylindrical filter paper 342\u003c\/p\u003e \u003cp\u003e4.5 Porosity, Permeability, Oil Viscosity and Pore Pressure Determination 345\u003c\/p\u003e \u003cp\u003eSimple porosity determination 345\u003c\/p\u003e \u003cp\u003eRadial invasion without mudcake 346\u003c\/p\u003e \u003cp\u003eProblem 1 348\u003c\/p\u003e \u003cp\u003eProblem 2 350\u003c\/p\u003e \u003cp\u003eTime lapse analysis using general muds 351\u003c\/p\u003e \u003cp\u003eProblem 1 352\u003c\/p\u003e \u003cp\u003eProblem 2 353\u003c\/p\u003e \u003cp\u003e4.6 Examples of Time Lapse Analysis 354\u003c\/p\u003e \u003cp\u003eFormation permeability and hydrocarbon viscosity 355\u003c\/p\u003e \u003cp\u003ePore pressure, rock permeability and fluid viscosity 357\u003c\/p\u003e \u003cp\u003e4.7 References 360\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Numerical Supercharge, Pressure, Displacement and Multiphase Flow Models 363\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Finite Difference Solutions 364\u003c\/p\u003e \u003cp\u003eBasic formulas 364\u003c\/p\u003e \u003cp\u003eModel constant density flow analysis 366\u003c\/p\u003e \u003cp\u003eTransient compressible flow modeling 369\u003c\/p\u003e \u003cp\u003eNumerical stability 371\u003c\/p\u003e \u003cp\u003eConvergence 371\u003c\/p\u003e \u003cp\u003eMultiple physical time and space scales 372\u003c\/p\u003e \u003cp\u003eExample 5-1. Lineal liquid displacement without mudcake 373\u003c\/p\u003e \u003cp\u003eExample 5-2. Cylindrical radial liquid displacement without cake 380\u003c\/p\u003e \u003cp\u003eExample 5-3. Spherical radial liquid displacement without cake 383\u003c\/p\u003e \u003cp\u003eExample 5-4. Lineal liquid displacement without mudcake, including compressible flow transients 385\u003c\/p\u003e \u003cp\u003eExample 5-5. Von Neumann stability of implicit time schemes 388\u003c\/p\u003e \u003cp\u003eExample 5-6. Gas displacement by liquid in lineal core without mudcake, including compressible flow transients 390\u003c\/p\u003e \u003cp\u003eIncompressible problem 391\u003c\/p\u003e \u003cp\u003eTransient, compressible problem 392\u003c\/p\u003e \u003cp\u003eExample 5-7. Simultaneous mudcake buildup and displacement front motion for incompressible liquid flows 396\u003c\/p\u003e \u003cp\u003eMatching conditions at displacement front 399\u003c\/p\u003e \u003cp\u003eMatching conditions at the cake-to-rock interface 399\u003c\/p\u003e \u003cp\u003eCoding modifications 400\u003c\/p\u003e \u003cp\u003eModeling formation heterogeneities 403\u003c\/p\u003e \u003cp\u003eMudcake compaction and compressibility 404\u003c\/p\u003e \u003cp\u003eModeling borehole activity 405\u003c\/p\u003e \u003cp\u003e5.2 Forward and Inverse Multiphase Flow Modeling 405\u003c\/p\u003e \u003cp\u003eProblem hierarchies 406\u003c\/p\u003e \u003cp\u003e5.2.1 Immiscible Buckley-Leverett lineal flows without capillary pressure 407\u003c\/p\u003e \u003cp\u003eExample boundary value problems 409\u003c\/p\u003e \u003cp\u003eGeneral initial value problem 410\u003c\/p\u003e \u003cp\u003eGeneral boundary value problem for infinite core 411\u003c\/p\u003e \u003cp\u003eVariable q(t) 411\u003c\/p\u003e \u003cp\u003eMudcake-dominated invasion 412\u003c\/p\u003e \u003cp\u003eShock velocity 412\u003c\/p\u003e \u003cp\u003ePressure solution 414\u003c\/p\u003e \u003cp\u003e5.2.2 Molecular diffusion in fluid flows 415\u003c\/p\u003e \u003cp\u003eExact lineal flow solutions 416\u003c\/p\u003e \u003cp\u003eNumerical analysis 417\u003c\/p\u003e \u003cp\u003eDiffusion in cake-dominated flows 419\u003c\/p\u003e \u003cp\u003eResistivity migration 419\u003c\/p\u003e \u003cp\u003eLineal diffusion and “un-diffusion” examples 420\u003c\/p\u003e \u003cp\u003eRadial diffusion and “un-diffusion” examples 423\u003c\/p\u003e \u003cp\u003e5.2.3 Immiscible radial flows with capillary pressure and prescribed mudcake growth 425\u003c\/p\u003e \u003cp\u003eGoverning saturation equation 426\u003c\/p\u003e \u003cp\u003eNumerical analysis 427\u003c\/p\u003e \u003cp\u003eFortran implementation 429\u003c\/p\u003e \u003cp\u003eTypical calculations 429\u003c\/p\u003e \u003cp\u003eMudcake dominated flows 435\u003c\/p\u003e \u003cp\u003e“Un-shocking” a saturation discontinuity 438\u003c\/p\u003e \u003cp\u003e5.2.4 Immiscible flows with capillary pressure and dynamically coupled mudcake growth 441\u003c\/p\u003e \u003cp\u003eFlows without mudcakes 441\u003c\/p\u003e \u003cp\u003eModeling mudcake coupling 450\u003c\/p\u003e \u003cp\u003eUnchanging mudcake thickness 451\u003c\/p\u003e \u003cp\u003eTransient mudcake growth 453\u003c\/p\u003e \u003cp\u003eGeneral immiscible flow model 457\u003c\/p\u003e \u003cp\u003e5.3 Closing Remarks 458\u003c\/p\u003e \u003cp\u003e5.4 References 464\u003c\/p\u003e \u003cp\u003eCumulative References 467\u003c\/p\u003e \u003cp\u003eIndex 481\u003c\/p\u003e \u003cp\u003eAbout the Authors 498\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Energy technology \u0026amp; engineering [\u003ca title=\"See our other books on Energy technology \u0026amp; engineering\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Energy%20technology%20\u0026amp;%20engineering%20%5BTH%5D%22\"\u003eTH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Scrivener","offers":[{"title":"Brand New","offer_id":52428548702488,"sku":"9781119283324","price":139.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781119283324.jpg?v=1784679463","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/supercharge-invasion-and-mudcake-growth-in-downhole-applications-hardback-9781119283324","provider":"Freshly Printed Books","version":"1.0","type":"link"}