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The Double Constraint Inversion Methodology

Equations and Applications in Forward and Inverse Modeling of Groundwater Flow

  • Wouter Zijl
  • Florimond De Smedt
  • Mustafa El-Rawy
  • Okke Batelaan

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Table of contents

  1. Front Matter
    Pages i-x
  2. Wouter Zijl, Florimond De Smedt, Mustafa El-Rawy, Okke Batelaan
    Pages 1-14
  3. Wouter Zijl, Florimond De Smedt, Mustafa El-Rawy, Okke Batelaan
    Pages 15-33
  4. Wouter Zijl, Florimond De Smedt, Mustafa El-Rawy, Okke Batelaan
    Pages 35-55
  5. Wouter Zijl, Florimond De Smedt, Mustafa El-Rawy, Okke Batelaan
    Pages 57-74
  6. Wouter Zijl, Florimond De Smedt, Mustafa El-Rawy, Okke Batelaan
    Pages 75-86
  7. Wouter Zijl, Florimond De Smedt, Mustafa El-Rawy, Okke Batelaan
    Pages 87-98
  8. Wouter Zijl, Florimond De Smedt, Mustafa El-Rawy, Okke Batelaan
    Pages 99-101

About this book

Introduction

​This book describes a novel physics-based approach to inverse modeling that makes use of the properties of the equations governing the physics of the processes under consideration. It focuses on the inverse problems occurring in hydrogeology, but the approach is also applicable to similar inverse problems in various other fields, such as petroleum-reservoir engineering, geophysical and medical imaging, weather forecasting, and flood prediction. This approach takes into consideration the physics – for instance, the boundary conditions required to obtain a well-posed mathematical problem – to help avoid errors in model building and therefore enhance the reliability of the results. In addition, this method requires less computation time and less computer memory.

 The theory is presented in a comprehensive, not overly mathematical, way, with three practice-oriented hydrogeological case studies and a comparison with the conventional approach illustrating the power of the method.

Forward and Inverse Modeling of Groundwater Flow is of use to researchers and graduate students in the fields of hydrology, as well as to professional hydrologists within industry. It also appeals to geophysicists and those working in or studying petroleum reservoir modeling and basin modeling.

Keywords

Porous Media Groundwater Flow Inverse Modelling Parameter Determination Hydraulic Conductivity Darcy-type Objective Function Double Constraint Method Calderón Problem Gradient-type Objective Function Kalman Filter

Authors and affiliations

  • Wouter Zijl
    • 1
  • Florimond De Smedt
    • 2
  • Mustafa El-Rawy
    • 3
  • Okke Batelaan
    • 4
  1. 1.Hydrology and Hydraulic EngineeringVrije Universiteit BrusselBrusselsBelgium
  2. 2.Hydrology and Hydraulic EngineeringVrije Universiteit BrusselBrusselsBelgium
  3. 3.Department of Civil EngineeringMinia UniversityMiniaEgypt
  4. 4.National Centre for Groundwater Research and Training, College of Science and EngineeringFlinders UniversityAdelaideAustralia

Bibliographic information

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