Effective Parameters of Hydrogeological Models

ISBN-13: 9783319374550 / Angielski / Miękka / 2016 / 182 str.

Vikenti Gorokhovski

Opis

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 latter are 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 Springer Briefs in Earth Sciences.

Recenzje

From the reviews of the second edition:

"An excellent introduction to hydrogeological models and the variety of methods to treat uncertainty surrounding models. ... This book provides an alternative way of treating model uncertainties, which, in my opinion, is a great contribution to the hydrogeological community. ... The active voice is used throughout the book; reading is like the author telling stories, making the book intelligible and entertaining. ... I highly recommend this excellent book to anyone who has an interest in hydrogeology and numerical modeling." (Peiyue Li, Environmental Processes, April, 2014)

Spis treści

Preface.- Introduction.- Engineering Approach.- Geostatistical Approach.- Ensembles.- Elements.- Sampling at Random.- Probability Distributions.- Effective Parameters.- Meaning of Geostatistically Inferred Results.- Geostatistics and Uncertainty.- Model Identification.- Incorrectness in Mathematics.- Regularization of Ill-Posed Problems.- Problem Dependence of Model Identification.- More Complex Model versus Less Complex One.- Short description of the Borden Landfill.- Simulating the water table.- Calibration with respect to the streamlines.- Transformation of Geological Objekts’ Properties into Effective Model Parameters.- Geological Objects and Simulation Models.- Transforming Mechanisms.- Properties of Transforming Mechanisms.- Examples of Liner Transforming Mechanisms.- One –Dimensional Steady-State Filtration to Fully Penetrating Trench.- Illustrative Cases.- Discussion on Illustrative Cases.- Borden Landfill.- Examples of Non-Linear Transforming Mechanisms.- Simulation of Transient Filtration in Two-Body Object by Homogeneous Model: Problem Formulation.- Explicit Numerical Simulation.- Implicit Numerical Simulation.- Evaluation of Transforming Mechanisms.- Two-Level Modeling Concept.- Examples of Evaluating Linear Transforming Mechanisms.- Transforming Mechanisms for Effective Recharge Rates at Borden Landfill.- Two-Level Modeling for Non-Linear Transforming Mechanisms.- Conclusion.- Inverse Problems and Transforming Mechanisms.- Linear Transforming Mechanisms: Illustrative Examples.- Borden Landfill: Evaluating Actual Recharge Rates.- Non-Linear Transforming Mechanisms: Illustrative Example.- Conclusion.- Convection Solute Transport through Porous Media.- On Classical Convection-Dispersion Model.- First versus third type of boundary condition at inlet.- On dispersion coefficient.- Convective Solute Transport Involving Hydrodynamic Dispersion.- Two introductory examples.- Piston displacement.- Transport of solute interacting with surroundings linearly.- Field Example.- Transforming Mechanisms for Degradation Rate.- Estimating hydraulic dispersion.- Estimating effective value for degradation rate of homogeneous model.- Solute transport through piece-vice heterogeneous porous media.- Estimating transforming mechanisms for degradation rate.- Transforming mechanisms and inverse problem solving.- Conclusions.- Conclusion.- Afterword.