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.

Key Features

@bul:* 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


Upper level undergraduate, graduate students, scientists, and professionals in the fields of hydrology, petroleum engineering, soil physics, geological engineering, civil & environmental engineering, applied mathematics


No. of pages:
© 2002
Academic Press
Print ISBN:
Electronic ISBN:

About the author

Dongxiao Zhang

Affiliations and Expertise

Los Alamos National Laboratory, New Mexico, U.S.A.


"...presents a comprehensive treatment of stochastic methods for water flow in saturated aquifers and unsaturated soils in a very tutorial and accessible way." -You-Kuan Zhang, University of Iowa, in VADOSE ZONE JOURNAL, 2006, VOL. 5, NO. 3 @from:Excerpt from the Foreword by Prof. Shlomo P. Neuman: @qu:"The hydrogeologic properties of natural rocks and soils exhibit spatial variations on a multiplicity of scales. Incorporating such scaling in geostatistical and stochastic analyses of hydrogeologic phenomena has become a major challenge. ...Students, teachers, researchers and practitioners concerned with hydrogeologic uncertainty analysis will find much in this book that is instructive, useful and timely." @source:--Prof. Shlomo P. Neuman @qu:"Dongxiao has clearly put together an excellent intermediate/advanced text on subsurface flow problems, and I highly recommend it as a graduate level text and as a source of information for the researcher and consultant." @source:—PURE AND APPLIED GEOPHYSICS @qu:"...a comprehensive and lucid scientific monograph devoted to uncertainty analysis for a wide range of groundwater flow problems." @source:—JOURNAL OF HYDRAULIC RESEARCH @qu:"This work considers numerous stochastic methods used by researchers for flow description. The methods' positive and negative characteristics are compared and selected methods are shown in examples. ...includes problems at the end of each chapter, making it useful for students and teachers in the field, as well as researchers and practitioners." BULLETIN AMERICAN METEOROLOGICAL SOCIETY