Title Effective parameters of hydrogeological models / Vikenti Gorokhovski

Edition Second edition Published Cham : Springer, [2014] ©2014

Table of Contents
1.	Introduction					1
	References					8
2.	Engineering Approach					11
	References					14
3.	Geostatistical Approach					17
3.1.	Ensembles					19
3.2.	Elements					22
3.3.	Sampling at Random					25
3.4.	Probability Distributions					26
3.5.	Effective Parameters					29
3.6.	Meaning of Geostatistically Inferred Results					32
3.7.	Geostatistics and Uncertainty					33
	References					37
4.	Model Identification					39
4.1.	Incorrectness in Mathematics					41
4.2.	Regularization of Ill-Posed Problems					48
4.3.	Problem-Dependence of Model Identification					49
4.4.	More Complex Model Versus Less Complex One					53
4.4.1.	Short Description of the Borden Landfill					54
4.4.2.	Simulating the Water Table					54
4.4.3.	Calibration with Respect to the Streamlines and the Arrival Time					57
	References					61
5.	Transformation of Geological Objects' Properties into Effective Model Parameters					65
5.1.	Geological Objects and Simulation Models					65
5.2.	Transforming Mechanisms					67
5.3.	Properties of Transforming Mechanisms					68
6.	Examples of Linear Transforming Mechanisms					73
6.1.	One-Dimensional Steady-State Filtration to Fully Penetrating Trench					73
6.2.	Illustrative Cases					77
6.3.	Discussion on Illustrative Cases					84
6.4.	Borden Landfill					88
	References					92
7.	Examples of Nonlinear Transforming Mechanisms					93
7.1.	Simulation of Transient Filtration in Two-Body Object by Homogeneous Model: Problem Formulation					93
7.2.	Explicit Numerical Simulation					95
7.3.	Implicit Numerical Simulation					98
8.	Evaluation of Transforming Mechanisms					105
8.1.	Two-Level Modeling Concept					105
8.2.	Examples of Evaluating Linear Transforming Mechanisms					107
8.3.	Transforming Mechanisms for Effective Recharge Rates at Borden Landfill					111
8.4.	Two-Level Modeling for Non-Linear Transforming Mechanisms					113
8.5.	Conclusion					119
	References					120
9.	Inverse Problems and Transforming Mechanisms					121
9.1.	Linear Transforming Mechanisms: Illustrative Examples					122
9.2.	Borden Landfill: Evaluating Actual Recharge Rates					128
9.3.	Non-Linear Transforming Mechanisms: Illustrative Example					136
9.4.	Conclusion					141
	References					142
10.	Advective Solute Transport Through Porous Media					143
10.1.	On Classical Convective-Dispersive Model					143
10.1.1.	First Versus Third Type of Boundary Condition at Inlet					143
10.1.2.	On Dispersion Coefficient					149
10.2.	Model of Advective Solute Transport Involving Hydrodynamic Dispersion					150
10.2.1.	Introductory Examples					150
10.2.2.	Example of Simulation of Real Column Test					155
10.3.	Transforming Mechanisms for Degradation Rate					158
10.3.1.	Estimating Hydraulic Dispersion					158
10.3.2.	Estimating Effective Value for Degradation Rate for Homogeneous Model					160
10.3.3.	Solute Transport Through Piecewise Heterogeneous Porous Media					161
10.3.4.	'Transforming Mechanisms for Degradation Rate and Inverse Problem Solving					162
10.4.	Conclusions					163
	References					169
11.	Conclusion					171
	References					173
	Afterword					176

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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. SCIENCE -- Earth Sciences -- Geography. SCIENCE -- Earth Sciences -- Geology. Sciences de la terre. Environnement. Hydrogeological modeling Hydrogeologie Mathematisches Modell Form Electronic book ISBN 9783319035697 331903569X

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