

Softcover ISBN: | 978-0-8218-2807-6 |
Product Code: | CONM/295 |
List Price: | $130.00 |
MAA Member Price: | $117.00 |
AMS Member Price: | $104.00 |
eBook ISBN: | 978-0-8218-7885-9 |
Product Code: | CONM/295.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
Softcover ISBN: | 978-0-8218-2807-6 |
eBook: ISBN: | 978-0-8218-7885-9 |
Product Code: | CONM/295.B |
List Price: | $255.00 $192.50 |
MAA Member Price: | $229.50 $173.25 |
AMS Member Price: | $204.00 $154.00 |


Softcover ISBN: | 978-0-8218-2807-6 |
Product Code: | CONM/295 |
List Price: | $130.00 |
MAA Member Price: | $117.00 |
AMS Member Price: | $104.00 |
eBook ISBN: | 978-0-8218-7885-9 |
Product Code: | CONM/295.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
Softcover ISBN: | 978-0-8218-2807-6 |
eBook ISBN: | 978-0-8218-7885-9 |
Product Code: | CONM/295.B |
List Price: | $255.00 $192.50 |
MAA Member Price: | $229.50 $173.25 |
AMS Member Price: | $204.00 $154.00 |
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Book DetailsContemporary MathematicsVolume: 295; 2002; 524 ppMSC: Primary 76; 65; 35; 92; 49; 68
This volume contains research papers written and edited by prominent researchers working with the mathematical and numerical treatment of fluid flow and transport in porous media.
Papers are based on talks given at a 2001 Joint AMS-IMS-SIAM Summer Research Conference held at Mount Holyoke College (South Hadley, MA). Topics cover a variety of subjects such as network flow modeling, contemporary numerical methods, parallel computation, optimization, multiscale phenomena, upscaling, uncertainty reduction, well treatment, and media characterization.
The material addresses many problems originating from the applied geosciences and focuses on their common state-of-the-art mathematical and numerical treatment. This work is particularly pertinent to those working in oil exploration and other industrial applications.
The book serves as an excellent reference work for all geoscientists, mathematicians, physicists, and engineers working in this research area.
ReadershipGraduate students, research mathematicians, geoscientists, physicists, and engineers working with the mathematical modeling and numerical simulation of fluid flow and transport in porous media.
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Table of Contents
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Articles
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Jørg Aarnes and Magne S. Espedal — A new approach to upscaling for two-phase flow in heterogeneous porous media [ MR 1911533 ]
-
Clarisse Alboin, Jérôme Jaffré, Jean E. Roberts and Christophe Serres — Modeling fractures as interfaces for flow and transport in porous media [ MR 1911534 ]
-
Mohamed Al-Lawatia and Hong Wang — A family of higher-order Eulerian-Lagrangian localized adjoint methods for advection-diffusion equations [ MR 1911535 ]
-
César Almeida, Jim Douglas, Jr., Felipe Pereira, Luis Carlos Roman and Li-Ming Yeh — Algorithmic aspects of a locally conservative Eulerian-Lagrangian method for transport-dominated diffusive systems [ MR 1911536 ]
-
Inga Berre, Helge K. Dahle, Kenneth H. Karlsen and Hans F. Nordhaug — A streamline front tracking method for two- and three-phase flow including capillary forces [ MR 1911537 ]
-
Sandro Bitterlich and Peter Knabner — Adaptive and formfree identification of nonlinearities in fluid flow from column experiments [ MR 1911538 ]
-
Alain Bourgeat — Overall behaviour of fractured porous media versus fractures’ size and permeability ratio [ MR 1911539 ]
-
Michael A. Celia and Andrew J. Guswa — Hysteresis and upscaling in two-phase flow through porous media [ MR 1911540 ]
-
Benito M. Chen-Charpentier and Hristo V. Kojouharov — Simulation of biobarrier-protozoa interaction in porous media [ MR 1911541 ]
-
Hongsen Chen, Zhangxin Chen, Guanren Huan and Zhongxiao Wang — Mixed discontinuous FE methods and their applications to two-phase flow in porous media [ MR 1911542 ]
-
Zhangxin Chen, Yanli Cui and Qiaoyuan Jiang — Two-phase immiscible flow with the viscous drag in naturally fractured reservoirs [ MR 1911543 ]
-
Zhangxin Chen, Guanren Huan and Baoyan Li — Mixed finite element methods for multiphase flow in petroleum reservoirs with multiple wells [ MR 1911544 ]
-
Craig C. Douglas, Gundolf Haase and Mohamed Iskandarani — An acceleration procedure for the spectral element ocean model formulation of the shallow water equations [ MR 1911545 ]
-
Jim Douglas, Jr., Felipe Pereira and Li-Ming Yeh — Relations between phase mobilities and capillary pressures for two-phase flows in fractured media [ MR 1911546 ]
-
Jim Douglas, Jr. and Anna M. Spagnuolo — Parameter estimates for high-level nuclear transport in fractured porous media [ MR 1911947 ]
-
Dugald B. Duncan and Yiqi Qiu — Overlapping grids for welltest analysis [ MR 1911948 ]
-
Richard E. Ewing — Upscaling of biological processes and multiphase flow in porous media [ MR 1911949 ]
-
Richard E. Ewing, Junping Wang, Suzanne L. Weekes and Yongjun Yang — A numerical simulation of multicomponent gas flow in porous media by projection methods [ MR 1911950 ]
-
Xiaobing Feng — Recent developments on modeling and analysis of flow of miscible fluids in porous media [ MR 1911951 ]
-
James Glimm, Yoon-ha Lee and Kenny Ye — A simple model for scale up error [ MR 1911952 ]
-
James Glimm, Xiao Lin Li and Yingjie Liu — Conservative front tracking in one space dimension [ MR 1911953 ]
-
Norbert Herrmann — BEM with collocation for the heat equation with Neumann and mixed boundary values [ MR 1911954 ]
-
Guanren Huan, Zhangxin Chen and Baoyan Li — Applications of the control volume function approximation method to reservoir simulations [ MR 1911955 ]
-
Kenneth D. Jarman and Thomas F. Russell — Analysis of 1-D moment equations for immiscible flow [ MR 1911956 ]
-
Daniel L. Kern, John J. Westman and Floyd B. Hanson — Locally optimal pumping and treatment rates in uncertain environments [ MR 1911957 ]
-
Do Y. Kwak — A general multigrid framework for a class of perturbed problems [ MR 1911958 ]
-
Baoyan Li, Zhangxin Chen and Guanren Huan — Modeling horizontal wells using hybrid grids in reservoir simulations [ MR 1911959 ]
-
Jichun Li — A multiblock mixed finite element method for 2D and 3D elliptic problems on mixed unstructured grids and its parallelization [ MR 1911960 ]
-
W. Brent Lindquist — Network flow model studies and 3D pore structure [ MR 1911961 ]
-
Qingjie Liu, Pingping Shen and Puhua Yang — Pore scale network modelling of gas slippage in tight porous media [ MR 1911962 ]
-
Qingjie Liu, Jinxun Wang, Puhua Yang and Pingping Shen — The calculation of relative permeability by history matching and Beth network model [ MR 1911963 ]
-
Ali A. Merrikh, José L. Lage and Abdulmajeed A. Mohamad — Comparison between pore-level and porous medium models for natural convection in a non-homogeneous enclosure [ MR 1911964 ]
-
Arunn Narasimhan and José L. Lage — New models for predicting temperature-dependent viscous effects on flow through porous media [ MR 1911965 ]
-
Gergina Pencheva and Ivan Yotov — Balancing domain decomposition for porous media flow in multiblock domains [ MR 1911966 ]
-
Béatrice Rivière and Mary F. Wheeler — Non conforming methods for transport with nonlinear reaction [ MR 1911967 ]
-
Louis F. Rossi — A high order Lagrangian scheme for flow through unsaturated porous media [ MR 1911968 ]
-
Marcus Sarkis — Partition of unity coarse spaces [ MR 1911969 ]
-
Sam Subbey, Mike Christie and Malcolm Sambridge — Uncertainty reduction in reservoir modeling
-
Hong Wang, Jiangguo Liu, Magne S. Espedal and Richard E. Ewing — A Eulerian-Lagrangian substructuring domain decomposition method for multidimensional, unsteady-state advection-diffusion equations [ MR 1911971 ]
-
H. Wang, W. Zhao, R. E. Ewing, S. L. Lyons and G. Qin — An ELLAM simulator for highly compressible flow in porous media with multiple wells [ MR 1911972 ]
-
Li Wu and G. F. Pinder — Single-degree freedom collocation method using Hermite polynomials [ MR 1911973 ]
-
Xijun Yu and Yonghong Wu — A Taylor-Galerkin finite element method for one-dimensional hyperbolic conservation laws [ MR 1911974 ]
-
Wen Zhang and Ian Gladwell — Morphological evolution of a 3D array of particles under surface diffusion [ MR 1911975 ]
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
This volume contains research papers written and edited by prominent researchers working with the mathematical and numerical treatment of fluid flow and transport in porous media.
Papers are based on talks given at a 2001 Joint AMS-IMS-SIAM Summer Research Conference held at Mount Holyoke College (South Hadley, MA). Topics cover a variety of subjects such as network flow modeling, contemporary numerical methods, parallel computation, optimization, multiscale phenomena, upscaling, uncertainty reduction, well treatment, and media characterization.
The material addresses many problems originating from the applied geosciences and focuses on their common state-of-the-art mathematical and numerical treatment. This work is particularly pertinent to those working in oil exploration and other industrial applications.
The book serves as an excellent reference work for all geoscientists, mathematicians, physicists, and engineers working in this research area.
Graduate students, research mathematicians, geoscientists, physicists, and engineers working with the mathematical modeling and numerical simulation of fluid flow and transport in porous media.
-
Articles
-
Jørg Aarnes and Magne S. Espedal — A new approach to upscaling for two-phase flow in heterogeneous porous media [ MR 1911533 ]
-
Clarisse Alboin, Jérôme Jaffré, Jean E. Roberts and Christophe Serres — Modeling fractures as interfaces for flow and transport in porous media [ MR 1911534 ]
-
Mohamed Al-Lawatia and Hong Wang — A family of higher-order Eulerian-Lagrangian localized adjoint methods for advection-diffusion equations [ MR 1911535 ]
-
César Almeida, Jim Douglas, Jr., Felipe Pereira, Luis Carlos Roman and Li-Ming Yeh — Algorithmic aspects of a locally conservative Eulerian-Lagrangian method for transport-dominated diffusive systems [ MR 1911536 ]
-
Inga Berre, Helge K. Dahle, Kenneth H. Karlsen and Hans F. Nordhaug — A streamline front tracking method for two- and three-phase flow including capillary forces [ MR 1911537 ]
-
Sandro Bitterlich and Peter Knabner — Adaptive and formfree identification of nonlinearities in fluid flow from column experiments [ MR 1911538 ]
-
Alain Bourgeat — Overall behaviour of fractured porous media versus fractures’ size and permeability ratio [ MR 1911539 ]
-
Michael A. Celia and Andrew J. Guswa — Hysteresis and upscaling in two-phase flow through porous media [ MR 1911540 ]
-
Benito M. Chen-Charpentier and Hristo V. Kojouharov — Simulation of biobarrier-protozoa interaction in porous media [ MR 1911541 ]
-
Hongsen Chen, Zhangxin Chen, Guanren Huan and Zhongxiao Wang — Mixed discontinuous FE methods and their applications to two-phase flow in porous media [ MR 1911542 ]
-
Zhangxin Chen, Yanli Cui and Qiaoyuan Jiang — Two-phase immiscible flow with the viscous drag in naturally fractured reservoirs [ MR 1911543 ]
-
Zhangxin Chen, Guanren Huan and Baoyan Li — Mixed finite element methods for multiphase flow in petroleum reservoirs with multiple wells [ MR 1911544 ]
-
Craig C. Douglas, Gundolf Haase and Mohamed Iskandarani — An acceleration procedure for the spectral element ocean model formulation of the shallow water equations [ MR 1911545 ]
-
Jim Douglas, Jr., Felipe Pereira and Li-Ming Yeh — Relations between phase mobilities and capillary pressures for two-phase flows in fractured media [ MR 1911546 ]
-
Jim Douglas, Jr. and Anna M. Spagnuolo — Parameter estimates for high-level nuclear transport in fractured porous media [ MR 1911947 ]
-
Dugald B. Duncan and Yiqi Qiu — Overlapping grids for welltest analysis [ MR 1911948 ]
-
Richard E. Ewing — Upscaling of biological processes and multiphase flow in porous media [ MR 1911949 ]
-
Richard E. Ewing, Junping Wang, Suzanne L. Weekes and Yongjun Yang — A numerical simulation of multicomponent gas flow in porous media by projection methods [ MR 1911950 ]
-
Xiaobing Feng — Recent developments on modeling and analysis of flow of miscible fluids in porous media [ MR 1911951 ]
-
James Glimm, Yoon-ha Lee and Kenny Ye — A simple model for scale up error [ MR 1911952 ]
-
James Glimm, Xiao Lin Li and Yingjie Liu — Conservative front tracking in one space dimension [ MR 1911953 ]
-
Norbert Herrmann — BEM with collocation for the heat equation with Neumann and mixed boundary values [ MR 1911954 ]
-
Guanren Huan, Zhangxin Chen and Baoyan Li — Applications of the control volume function approximation method to reservoir simulations [ MR 1911955 ]
-
Kenneth D. Jarman and Thomas F. Russell — Analysis of 1-D moment equations for immiscible flow [ MR 1911956 ]
-
Daniel L. Kern, John J. Westman and Floyd B. Hanson — Locally optimal pumping and treatment rates in uncertain environments [ MR 1911957 ]
-
Do Y. Kwak — A general multigrid framework for a class of perturbed problems [ MR 1911958 ]
-
Baoyan Li, Zhangxin Chen and Guanren Huan — Modeling horizontal wells using hybrid grids in reservoir simulations [ MR 1911959 ]
-
Jichun Li — A multiblock mixed finite element method for 2D and 3D elliptic problems on mixed unstructured grids and its parallelization [ MR 1911960 ]
-
W. Brent Lindquist — Network flow model studies and 3D pore structure [ MR 1911961 ]
-
Qingjie Liu, Pingping Shen and Puhua Yang — Pore scale network modelling of gas slippage in tight porous media [ MR 1911962 ]
-
Qingjie Liu, Jinxun Wang, Puhua Yang and Pingping Shen — The calculation of relative permeability by history matching and Beth network model [ MR 1911963 ]
-
Ali A. Merrikh, José L. Lage and Abdulmajeed A. Mohamad — Comparison between pore-level and porous medium models for natural convection in a non-homogeneous enclosure [ MR 1911964 ]
-
Arunn Narasimhan and José L. Lage — New models for predicting temperature-dependent viscous effects on flow through porous media [ MR 1911965 ]
-
Gergina Pencheva and Ivan Yotov — Balancing domain decomposition for porous media flow in multiblock domains [ MR 1911966 ]
-
Béatrice Rivière and Mary F. Wheeler — Non conforming methods for transport with nonlinear reaction [ MR 1911967 ]
-
Louis F. Rossi — A high order Lagrangian scheme for flow through unsaturated porous media [ MR 1911968 ]
-
Marcus Sarkis — Partition of unity coarse spaces [ MR 1911969 ]
-
Sam Subbey, Mike Christie and Malcolm Sambridge — Uncertainty reduction in reservoir modeling
-
Hong Wang, Jiangguo Liu, Magne S. Espedal and Richard E. Ewing — A Eulerian-Lagrangian substructuring domain decomposition method for multidimensional, unsteady-state advection-diffusion equations [ MR 1911971 ]
-
H. Wang, W. Zhao, R. E. Ewing, S. L. Lyons and G. Qin — An ELLAM simulator for highly compressible flow in porous media with multiple wells [ MR 1911972 ]
-
Li Wu and G. F. Pinder — Single-degree freedom collocation method using Hermite polynomials [ MR 1911973 ]
-
Xijun Yu and Yonghong Wu — A Taylor-Galerkin finite element method for one-dimensional hyperbolic conservation laws [ MR 1911974 ]
-
Wen Zhang and Ian Gladwell — Morphological evolution of a 3D array of particles under surface diffusion [ MR 1911975 ]