Subsurface Flow and Transport: A Stochastic Approach

doi:10.1017/CBO9780511600081

This book describes a major method in modelling the flow of water and transport of solutes in the subsurface, a subject of considerable interest in the exploitation and preservation of water resources. The stochastic approach allows the uncertainty which affects various properties and parameters to be incorporated in models of subsurface flow and transport. These much more realistic models are of greater use in, for example, modelling the transport and build-up of contaminants in groundwater. The volume is based on the second Kovacs Colloquium organised by the International Hydrological Programme (UNESCO) and the International Association of Hydrological Sciences. Fifteen leading scientists with international reputations review the latest developments in this area. The book is a valuable reference work for graduate students, research workers and professionals in government and public institutions, interested in hydrology, environmental issues, soil physics, petroleum engineering, geological engineering and applied mathematics.

‘The book can be recommended to those with graduate level mathematical and statistical skills as a reference to the latest theoretical modelling techniques in subsurface hydrology. Also to those who wish to link modelling and experimental work in this area … ’

J. D. Cooper Source: Hydrology and Earth System Sciences

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-viii
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List of contributors
pp ix-x
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Preface
pp xi-xii
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Acknowledgments
pp xiii-xiv
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I - INTRODUCTION
pp 1-2
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1 - Stochastic modeling of flow and transport: the broad perspective
pp 3-20
- By Gedeon Dagan, Tel Aviv University
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II - SUBSURFACE CHARACTERIZATION AND PARAMETER ESTIMATION
pp 21-22
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1 - Characterization of geological heterogeneity
pp 23-43
- By Mary P. Anderson, University of Wisconsin-Madison
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2 - Application of geostatistics in subsurface hydrology
pp 44-61
- By F. Javier Samper Calvete, Universidad de La Coruña
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3 - Formulations and computational issues of the inversion of random fields
pp 62-80
- By Jesús Carrera, Universitat Politècnica de Catalunya, Agustín Medina, Universitat Politècnica de Catalunya, Carl Axness, Sandia National Laboratories, Tony Zimmerman, Gram, Inc.
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III - FLOW MODELING AND AQUIFER MANAGEMENT
pp 81-82
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1 - Groundwater flow in heterogeneous formations
pp 83-91
- By Peter K. Kitanidis, Stanford University
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2 - Aspects of numerical methods in multiphase flows
pp 92-100
- By Richard E. Ewing, Texas A & M University
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3 - Incorporating uncertainty into aquifer management models
pp 101-112
- By Steven M. Gorelick, Stanford University
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IV - TRANSPORT IN HETEROGENEOUS AQUIFERS
pp 113-114
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1 - Transport of inert solutes by groundwater: recent developments and current issues
pp 115-132
- By Yoram Rubin, University of California at Berkeley
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2 - Transport of reactive solutes
pp 133-145
- By Vladimir Cvetkovic, Royal Institute of Technology, Stockholm
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3 - Nonlocal reactive transport with physical and chemical heterogeneity: linear nonequilibrium sorption with random rate coefficients
pp 146-156
- By Bill X. Hu, Purdue University, Fei-Wen Deng, Purdue University, John H. Cushman, Purdue University
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4 - Perspectives on field-scale application of stochastic subsurface hydrology
pp 157-176
- By Lynn W. Gelhar, Massachusetts Institute of Technology
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V - FRACTURED ROCKS AND UNSATURATED SOILS
pp 177-178
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1 - Component characterization: an approach to fracture hydrogeology
pp 179-195
- By Jane C. S. Long, Lawrence Berkeley National Laboratory, Christine Doughty, Lawrence Berkeley National Laboratory, Akhil Datta-Gupta, Lawrence Berkeley National Laboratory and Texas A&M University, Kevin Hestir, Lawrence Berkeley National Laboratory and Utah State University, Don Vasco, Lawrence Berkeley National Laboratory
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2 - Stochastic analysis of solute transport in partially saturated heterogeneous soils
pp 196-206
- By David Russo, The Volcani Center, Bet Dagan
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3 - Field-scale modeling of immiscible organic chemical spills
pp 207-228
- By Jack C. Parker, Environmental Systems & Technologies, Inc.
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VI - A VIEW TO THE FUTURE
pp 229-230
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1 - Stochastic approach to subsurface flow and transport: a view to the future
pp 231-241
- By Shlomo P. Neuman, University of Arizona
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Subsurface Flow and Transport

A Stochastic Approach

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Contents

Frontmatter
pp i-vi

Contents
pp vii-viii

List of contributors
pp ix-x

Preface
pp xi-xii

Acknowledgments
pp xiii-xiv

I - INTRODUCTION
pp 1-2

1 - Stochastic modeling of flow and transport: the broad perspective
pp 3-20

II - SUBSURFACE CHARACTERIZATION AND PARAMETER ESTIMATION
pp 21-22

1 - Characterization of geological heterogeneity
pp 23-43

2 - Application of geostatistics in subsurface hydrology
pp 44-61

3 - Formulations and computational issues of the inversion of random fields
pp 62-80

III - FLOW MODELING AND AQUIFER MANAGEMENT
pp 81-82

1 - Groundwater flow in heterogeneous formations
pp 83-91

2 - Aspects of numerical methods in multiphase flows
pp 92-100

3 - Incorporating uncertainty into aquifer management models
pp 101-112

IV - TRANSPORT IN HETEROGENEOUS AQUIFERS
pp 113-114

1 - Transport of inert solutes by groundwater: recent developments and current issues
pp 115-132

2 - Transport of reactive solutes
pp 133-145

3 - Nonlocal reactive transport with physical and chemical heterogeneity: linear nonequilibrium sorption with random rate coefficients
pp 146-156

4 - Perspectives on field-scale application of stochastic subsurface hydrology
pp 157-176

V - FRACTURED ROCKS AND UNSATURATED SOILS
pp 177-178

1 - Component characterization: an approach to fracture hydrogeology
pp 179-195

2 - Stochastic analysis of solute transport in partially saturated heterogeneous soils
pp 196-206

3 - Field-scale modeling of immiscible organic chemical spills
pp 207-228

VI - A VIEW TO THE FUTURE
pp 229-230

1 - Stochastic approach to subsurface flow and transport: a view to the future
pp 231-241

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A Stochastic Approach

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