Stochastic Methods for Flow in Porous Media: Coping with
Uncertainties explores fluid flow in complex geologic environments.
The parameterization of uncertainty into flow models is important
for managing water resources, preserving subsurface water quality,
storing energy and wastes, and improving the safety and economics
of extracting subsurface mineral and energy resources.
This volume systematically introduces a number of stochastic
methods used by researchers in the community in a tutorial way and
presents methodologies for spatially and temporally stationary as
well as nonstationary flows. The author compiles a number of
well-known results and useful formulae and includes exercises at
the end of each chapter.
* As never seen before:
* Balanced viewpoint of several stochastic methods, including
Greens' function, perturbative expansion, spectral, Feynman
diagram, adjoint state, Monte Carlo simulation, and renormalization
group methods
* Tutorial style of presentation will facilitate use by readers
without a prior in-depth knowledge of Stochastic processes
* Practical examples throughout the text
* Exercises at the end of each chapter reinforce specific concepts
and techniques
* For the reader who is interested in hands-on experience, a number
of computer codes are included and discussed
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