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. The papers are based on talks given at a 2001 Joint AMS-IMS-SIAM Summer Research Conference held at Mount Holyoke College (South Hadley, MA). The 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.

Table of Contents:
A new approach to upscaling for two-phase flow in heterogeneous porous media by J. Aarnes and M. S. Espedal Modeling fractures as interfaces for flow and transport in porous media by C. Alboin, J. Jaffre, J. E. Roberts, and C. Serres A family of higher-order Eulerian-Lagrangian localized adjoint methods for advection-diffusion equations by M. Al-Lawatia and H. Wang Algorithmic aspects of a locally conservative Eulerian-Lagrangian method for transport-dominated diffusive systems by C. Almeida, J. Douglas, Jr., F. Pereira, L. C. Roman, and L.-M. Yeh A streamline front tracking method for two- and three-phase flow including capillary forces by I. Berre, H. K. Dahle, K. H. Karlsen, and H. F. Nordhaug Adaptive and formfree identification of nonlinearities in fluid flow from column experiments by S. Bitterlich and P. Knabner Overall behaviour of fractured porous media versus fractures' size and permeability ratio by A. Bourgeat Hysteresis and upscaling in two-phase flow through porous media by M. A. Celia and A. J. Guswa Simulation of biobarrier-protozoa interaction in porous media by B. M. Chen-Charpentier and H. V. Kojouharov Mixed discontinuous FE methods and their applications to two-phase flow in porous media by H. Chen, Z. Chen, G. Huan, and Z. Wang Two-phase immiscible flow with the viscous drag in naturally fractured reservoirs by Z. Chen, Y. Cui, and Q. Jiang Mixed finite element methods for multiphase flow in petroleum reservoirs with multiple wells by Z. Chen, G. Huan, and B. Li An acceleration procedure for the spectral element ocean model formulation of the shallow water equations by C. C. Douglas, G. Haase, and M. Iskandarani Relations between phase mobilities and capillary pressures for two-phase flows in fractured media by J. Douglas, Jr., F. Pereira, and L.-M. Yeh Parameter estimates for high-level nuclear transport in fractured porous media by J. Douglas, Jr. and A. M. Spagnuolo Overlapping grids for welltest analysis by D. B. Duncan and Y. Qiu Upscaling of biological processes and multiphase flow in porous media by R. E. Ewing A numerical simulation of multicomponent gas flow in porous media by projection methods by R. E. Ewing, J. Wang, S. L. Weekes, and Y. Yang Recent developments on modeling and analysis of flow of miscible fluids in porous media by X. Feng A simple model for scale up error by J. Glimm, Y.-h. Lee, and K. Ye Conservative front tracking in one space dimension by J. Glimm, X. L. Li, and Y. Liu BEM with collocation for the heat equation with Neumann and mixed boundary values by N. Herrmann Applications of the control volume function approximation method to reservoir simulations by G. Huan, Z. Chen, and B. Li Analysis of 1-D moment equations for immiscible flow by K. D. Jarman and T. F. Russell Locally optimal pumping and treatment rates in uncertain environments by D. L. Kern, J. J. Westman, and F. B. Hanson A general mutigrid framework for a class of perturbed problems by D. Y. Kwak Modeling horizontal wells using hybrid grids in reservoir simulations by B. Li, Z. Chen, and G. Huan A multiblock mixed finite element method for 2D and 3D elliptic problems on mixed unstructured grids and its parallelization by J. Li Network flow model studies and 3D pore structure by W. B. Lindquist Pore scale network modelling of gas slippage in tight porous media by Q. Liu, P. Shen, and P. Yang The calculation of relative permeability by history matching and Beth network model by Q. Lie, J. Wang, P. Yang, and P. Shen Comparison between pore-level and porous medium models for natural convection in a non-homogeneous enclosure by A. A. Merrikh, J. L. Lage, and A. A. Mohamad New models for predicting temperature-dependent viscous effects on flow through porous media by A. Narasimhan and J. L. Lage Balancing domain decomposition for porous media flow in multiblock domains by G. Pencheva and I. Yotov Non conforming methods for transport with nonlinear reaction by B. Riviere and M. F. Wheeler A high order Lagrangian scheme for flow through unsaturated porous media by L. F. Rossi Partition of unity coarse spaces by M. Sarkis Uncertainty reduction in reservoir modeling by S. Subbey, M. Christie, and M. Sambridge A Eulerian-Lagrangian substructuring domain decomposition method for multidimensional, unsteady-state advection-diffusion equations by H. Wang, J. Liu, M. S. Espedal, and R. E. Ewing An ELLAM simulator for highly compressible flow in porous media with multiple wells by H. Wang, W. Zhao, R. E. Ewing, S. L. Lyons, and G. Qin; Single-degree freedom collocation method using Hermite polynomials by L. Wu and G. F. Pinder A Taylor-Galerkin finite element method for one-dimensional hyperbolic conservation laws by X. Yu and Y. Wu Morphological evolution of a 3D array of particles under surface diffusion by W. Zhang and I. Gladwell.