Numerical Treatment of Multiphase Flows in Porous Media

by Chen, Zhangxin; Ewing, Richard E.; Shi, Zhong-Ci

• ISBN13: 9783540675662
• ISBN10: 3540675663
• Format: Hardcover
• Copyright: 2000-11-01
• Publisher: Springer Verlag

Summary

This book describes in detail the current, state-of-the-art numerical treatment and simulation of multiphase flows in porous media. The porous media considered range from ordinary to fractured and deformable media, the models treated from single-phase compressible flow to multiphase multicomponent flow with mass interchange, while the computational algorithms encompass everything from classical iterative solvers to modern multigrid and domain decomposition approaches. Addressing many problems originating from the applied geosciences, the book focuses on their common mathematical and computational aspects. It will serve as an excellent research reference for all geoscientists, mathematicians, physicists, and engineers who work in the mathematical modeling and numerical simulation of multiphase flows in porous media.

Table of Contents

Mathematical and Numerical Techniques in Energy and Environmental Modeling	1	(22)
Zhangxin Chen
Richard E. Ewing
Domain Decomposition for Some Transmission Problems in Flow in Porous Media	22	(13)
Clarisse Alboin
Jerome Jaffre
Jean E. Roberts
Xuewen Wang
Christophe Serres
Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media	35	(15)
Todd Arbogast
Numerical Simulation of Multiphase Flow in Fractured Porous Media	50	(19)
Peter Bastian
Zhangxin Chen
Richard E. Ewing
Rainer Helmig
Hartmut Jakobs
Volker Reichenberger
The Modified Method of Characteristics for Compressible Flow in Porous Media	69	(11)
Aijie Cheng
Gaohong Wang
A Numerical Algorithm for Single Phase Fluid Flow in Elastic Porous Media	80	(13)
Hongsen Chen
Richard E. Ewing
Stephen L. Lyons
Guan Qin
Tong Sun
David P. Yale
On the Discretization of Interface Problems with Perfect and Imperfect Contact	93	(11)
Tatiana Chernogorova
Richard E. Ewing
Oleg Iliev
Raytcho Lazarov
Finite Element Analysis for Pseudo-Hyperbolic Integral-Differential Equations	104	(12)
Xia Cui
A CFL-Free Explicit Scheme with Compression for Linear Hyperbolic Equations	116	(8)
Ronald A. De Vore
Hong Wang
Jiang-Guo Liu
Hong Xu
Maximizing Cache Memory Usage for Multigrid Algorithms for Applications of Fluid Flow in Porous Media	124	(14)
Craig C. Douglas
Jonathan Hu
Mohamed Iskandarani
Markus Kowarschik
Ulrich Rude
Christian Weiss
A Locally Conservative Eulerian-Lagrangian Method for Flow in a Porous Medium of a Mixture of Two Components Having Different Densities	138	(18)
Jim Douglas, Jr.
Felipe Pereira
Li-Ming Yeh
Validation of Non-Darcy Well Models Using Direct Numerical Simulation	156	(14)
Vladimir A. Garanzha
Vladimir N. Konshin
Stephen L. Lyons
Dimitrios V. Papavassiliou
Guan Qin
Mathematical Treatment of Diffusion Processes of Gases and Fluids in Porous Media	170	(9)
Norbert Herrmann
Implementation of a Locally Conservative Eulerian-Lagrangian Method Applied to Nuclear Contaminant Transport	179	(11)
Chieh-Sen Huang
Anna M. Spagnuolo
Application of a Class of Nonstationary Iterative Methods to Flow Problems	190	(5)
Xiuren Lei
Hong Peng
Reservoir Thermal Recover Simulation on Parallel Computers	195	(13)
Baoyan Li
Yuanle Ma
A Class of Lattice Boltzmann Models with the Energy Equation	208	(8)
Yuanxiang Li
Shengwu Xiong
Xiufen Zou
Block Implicit Computation of Flow Field in Solid Rocket Ramjets	216	(6)
Zhibo Ma
Jianshi Zhu
Stable Conforming and Nonconforming Finite Element Methods for the Non-Newtonian Flow	222	(10)
Pingbing Ming
Zhong-Ci Shi
Numerical Simulation of Compositional Fluid Flow in Porous Media	232	(12)
Guan Qin
Hong Wang
Richard E. Ewing
Magne S. Espedal
Parallelization of a Compositional Reservoir Simulator	244	(23)
Hilde Reme
Geir Age Øye
Magne S. Espedal
Gunnar E. Fladmark
Relationships Among Some Conservative Discretization Methods	267	(16)
Thomas F. Russell
Parallel Methods for Solving Time-Dependent Problems Using the Fourier-Laplace Transformation	283	(9)
Dongwoo Sheen
Cascadic Multigrid Methods for Parabolic Pressure Problems	292	(7)
Zhong-Ci Shi
Xuejun Xu
Estimation in the Presence of Outliers: The Capillary Pressure Case	299	(12)
Sam Subbey
Jan-Erik Nordtvedt
A Comparison of ELLAM with ENO/WENO Schemes for Linear Transport Equations	311	(13)
Hong Wang
Mohamed Al-Lawatia
An Accurate Approximation to Compressible Flow in Porous Media with Wells	324	(9)
Hong Wang
Dong Liang
Richard E. Ewing
Stephen L. Lyons
Guan Qin
Fast Convergent Algorithms for Solving 2-D Integral Equations of the First Kind	333	(12)
Yan-Fei Wang
Ting-Yan Xiao
A Two-Grid Finite Difference Method for Nonlinear Parabolic Equations	345	(6)
Ziting Wang
Xianggui Li
A Compact Operator Method for the Omega Equation	351	(11)
Francisco R. Villatoro
Jesus Garcia-Lafuente
Domain Decomposition Algorithm for a New Characteristic Mixed Finite Element Method for Compressible Miscible Displacement	362	(11)
Danping Yang
A Boundary Element Method for Viscous Flow on Multi-Connected Domains	373	(5)
Dequan Yang
Tigui Fan
Xinyu Yang
A Characteristic Difference Method for 2D Nonlinear Convection-Diffusion Problems	378	(12)
Xi-Jun Yu
Yonghong Wu
Fractional Step Methods for Compressible Multicomponent Flow in Porous Media	390	(14)
Yirang Yuan
A Model and Its Solution Method for a Generalized Unsteady Seepage Flow Problem	404	(5)
Guoyou Zhang
Tigui Fan
Zhongsheng Zhao
Dequan Yang
Domain Decomposition Preconditioners for Non-selfconjugate Second-Order Elliptic Problems	409	(10)
Huaiyu Zhang
Jiachang Sun
Performance of MOL for Surface Motion Driven by a Laplacian of Curvature	419	(11)
Wen Zhang
Ian Gladwell
A High-Order Upwind Method for Convection-Diffusion Equations with the Newmann Boundary Condition	430	(11)
Weidong Zhao
Author Index	441	(3)
Subject Index	444