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Mathematical and Numerical Modeling in Porous Media

Applications in Geoscience

By: Martin A. Diaz Viera (Editor), Sahay Pratap (Editor), Manuel Coronado (Editor), Arturo Ortiz Tapia (Editor)

Hardcover

Published: 19th July 2012
Ships: 7 to 10 business days
RRP $275.99
$248.95
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Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete understanding of the physical processes involved in fluid flow and transport. This fact can be attributed to the complexity of the phenomena which include multicomponent fluids, multiphasic flow and rock-fluid interactions. Since its formulation in 1856, Darcy's law has been generalized to describe multi-phase compressible fluid flow through anisotropic and heterogeneous porous and fractured rocks. Due to the scarcity of information, a high degree of uncertainty on the porous medium properties is commonly present. Contributions to the knowledge of modeling flow and transport, as well as to the characterization of porous media at field scale are of great relevance. This book addresses several of these issues, treated with a variety of methodologies grouped into four parts:

I Fundamental concepts
II Flow and transport
III Statistical and stochastic characterization
IV Waves

The problems analyzed in this book cover diverse length scales that range from small rock samples to field-size porous formations. They belong to the most active areas of research in porous media with applications in geosciences developed by diverse authors.

This book was written for a broad audience with a prior and basic knowledge of porous media. The book is addressed to a wide readership, and it will be useful not only as an authoritative textbook for undergraduate and graduate students but also as a reference source for professionals including geoscientists, hydrogeologists, geophysicists, engineers, applied mathematicians and others working on porous media.

Section 1: Fundamental concepts 1 Relative permeability 2 From upscaling techniques to hybrid models 3 A tensorial formulation in four dimensions of thermoporoelastic phenomena Section 2: Flow and transport 4 New method for estimation of physical parameters in oil reservoirs by using tracer test flow models in Laplace space 5 Dynamic porosity and permeability modification due to microbial growth using a coupled flow and transport model in porous media 6 Inter-well tracer test models for underground formations having conductive faults: development of a numerical model and comparison against analytical models 7 Volume average transport equations for in-situ combustion 8 Biphasic isothermal tricomponent model to simulate advection-diffusion in 2D porous media Section 3: Statistical and stochastic characterization 9 A 3D geostatistical model of Upper Jurassic Kimmeridgian facies distribution in Cantarell oil field, Mexico 10 Trivariate nonparametric dependence modeling of petrophysical propertie 11 Joint porosity-permeability stochastic simulation by non-parametric copulas 12 Stochastic simulation of a vuggy carbonate porous media 13 Stochastic modeling of spatial grain distribution in rock samples from terrigenous formations using the plurigaussian simulation method 14 Metadistances in prime numbers applied to integral equations and some examples of their possible use in porous media problems Section 4: Waves 15 On the physical meaning of slow shear waves within the viscosity-extended Biot framework 16 Coupled porosity and saturation waves in porous media Author index Subject index

ISBN: 9780415665377
ISBN-10: 041566537X
Series: Multiphysics Modeling
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 370
Published: 19th July 2012
Dimensions (cm): 24.6 x 17.4  x 2.3
Weight (kg): 0.902