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E-book
Author Gorokhovski, Vikenti, author

Title Effective parameters of hydrogeological models / Vikenti Gorokhovski
Edition Second edition
Published Cham : Springer, [2014]
©2014
Table of Contents
1.Introduction1
 References8
2.Engineering Approach11
 References14
3.Geostatistical Approach17
3.1.Ensembles19
3.2.Elements22
3.3.Sampling at Random25
3.4.Probability Distributions26
3.5.Effective Parameters29
3.6.Meaning of Geostatistically Inferred Results32
3.7.Geostatistics and Uncertainty33
 References37
4.Model Identification39
4.1.Incorrectness in Mathematics41
4.2.Regularization of Ill-Posed Problems48
4.3.Problem-Dependence of Model Identification49
4.4.More Complex Model Versus Less Complex One53
4.4.1.Short Description of the Borden Landfill54
4.4.2.Simulating the Water Table54
4.4.3.Calibration with Respect to the Streamlines and the Arrival Time57
 References61
5.Transformation of Geological Objects' Properties into Effective Model Parameters65
5.1.Geological Objects and Simulation Models65
5.2.Transforming Mechanisms67
5.3.Properties of Transforming Mechanisms68
6.Examples of Linear Transforming Mechanisms73
6.1.One-Dimensional Steady-State Filtration to Fully Penetrating Trench73
6.2.Illustrative Cases77
6.3.Discussion on Illustrative Cases84
6.4.Borden Landfill88
 References92
7.Examples of Nonlinear Transforming Mechanisms93
7.1.Simulation of Transient Filtration in Two-Body Object by Homogeneous Model: Problem Formulation93
7.2.Explicit Numerical Simulation95
7.3.Implicit Numerical Simulation98
8.Evaluation of Transforming Mechanisms105
8.1.Two-Level Modeling Concept105
8.2.Examples of Evaluating Linear Transforming Mechanisms107
8.3.Transforming Mechanisms for Effective Recharge Rates at Borden Landfill111
8.4.Two-Level Modeling for Non-Linear Transforming Mechanisms113
8.5.Conclusion119
 References120
9.Inverse Problems and Transforming Mechanisms121
9.1.Linear Transforming Mechanisms: Illustrative Examples122
9.2.Borden Landfill: Evaluating Actual Recharge Rates128
9.3.Non-Linear Transforming Mechanisms: Illustrative Example136
9.4.Conclusion141
 References142
10.Advective Solute Transport Through Porous Media143
10.1.On Classical Convective-Dispersive Model143
10.1.1.First Versus Third Type of Boundary Condition at Inlet143
10.1.2.On Dispersion Coefficient149
10.2.Model of Advective Solute Transport Involving Hydrodynamic Dispersion150
10.2.1.Introductory Examples150
10.2.2.Example of Simulation of Real Column Test155
10.3.Transforming Mechanisms for Degradation Rate158
10.3.1.Estimating Hydraulic Dispersion158
10.3.2.Estimating Effective Value for Degradation Rate for Homogeneous Model160
10.3.3.Solute Transport Through Piecewise Heterogeneous Porous Media161
10.3.4.'Transforming Mechanisms for Degradation Rate and Inverse Problem Solving162
10.4.Conclusions163
 References169
11.Conclusion171
 References173
 Afterword176
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Description 1 online resource (xv, 153 pages) : illustrations
Series SpringerBriefs hydrogeology
SpringerBriefs hydrogeology
Contents From the Contents: Introduction -- Engineering Approach -- Geostatistical Approach -- Model Identification -- Transformation of Geological Objekts Properties into Effective Model Parameters -- Examples of Liner Transforming Mechanisms -- Examples of Non-Linear Transforming Mechanisms -- Evaluation of Transforming Mechanisms -- Inverse Problems and Transforming Mechanisms -- Convection Solute Transport through Porous Media
Summary Geological models used in predictive hydrogeological modeling are not exact replicas of the objects they represent: many details related to structures and properties of the objects remain unknown. Those details may considerably affect simulation results. A provable evaluation of the uncertainty of hydrogeological and solute transport simulations are almost impossible. In this book, the author describes how to obtain the best-possible results in simulations, based on the available data and predefined criteria that are turned into transforming mechanisms. The latterare mathematical expressions for evaluating model parameters supporting effective simulations. Examples of the mechanisms as well as methods of their evaluation are provided in this book. It is also shown how these mechanisms can be used for the interpretation of hydrogeological data. The first edition of this book was published in the series SpringerBriefs in Earth Sciences
Bibliography Includes bibliographical references
Notes Print version record
Subject Hydrogeological modeling.
Form Electronic book
ISBN 331903569X (electronic bk.)
9783319035697 (electronic bk.)