Modeling of Water in Subsurface Domains


Author: Pradeep Kumar Majumdar

ISBN: 9789391549480

Copy Right Year: 2023

Pages: 696

Binding: Soft cover

Publisher: Yes Dee Publishing


Out of stock

SKU: YD9789391549480 Categories: ,


Modeling of Water in Subsurface Domains: Academics to Practice, is a text cum reference book for the groundwater modelers. The book elaborates the theory behind groundwater modeling which is useful for the students of post graduate programs as well as students pursuing Doctoral degree. In addition, it enhances the scope for source code application to field problems, which would attract the attention of undergraduate projects and the consultants/scientists working in the area of groundwater management.

Additional information

Weight .9 kg
Dimensions 22 × 15 × 3.5 cm

Table of Content

Chapter 1 Introduction

1.1 Groundwater Process

1.2 Necessity of Modeling

1.3 Model Building

1.4 Mathematical Recipes

1.5 Available Softwares

1.6 Feasibility Checks on Groundwater Models

1.7 Risk Assessment in Groundwater Availability and Contamination

1.8 Uncertainity in Projections

1.9 Sensitivity of the Model

1.10 Objectives and Scopes of the Book

Chapter 2 Physical Description of Groundwater Flow

2.1 Classical Concepts of Groundwater Process Modeling

2.1.1 Conceptual Models of Crustal-Scale Fluid Flow

2.1.2 Continuum Medium

2.1.3 The Fluid

2.2 Representative Elementary Volume (REV)

2.3 Hydraulic Potential

2.4 Darcy Law for Groundwater Process

2.5 Fluid Continuity Equation

2.6 Unsaturated Flow

2.7 Flow through Fractures

2.7.1 Porosity of Fractured Rocks

2.7.2 Flow through Single Fracture

2.7.3 Hydraulic Conductivity of Fractured Media

2.7.4 Relationship of Hydraulic Conductivity with Fracture Aperture

and Spacing

2.7.5 Influence of Temperature on Permeability

2.7.6 Hydraulic Coupling of Rock Mass, Fracture and Well

2.8 Flow Coupled With Fracture Propagation

2.8.1 Perkins-Kern Width Equation

2.8.2 Geertsma-de Klerk Width Equation

2.8.3 Radial Width Equation

2.8.4 Numerical Material Balance (NMB) with Width Growth

2.9 Continuity Equations for Solute Transport

2.9.1 Advective Process

2.9.2 Diffusion and Dispersion

2.9.3 Advection-Dispersion Equation

2.10 Transport with Coupled Processes

2.10.1 Multi-Component Reactive Transport

2.10.2 Transport with Phase Mass Transfer Process

2.10.3 Density Dependant Transport

2.10.4 Heat Transport

2.10.5 Transport with Biodegradation

2.11 Contaminant Transport in Fractured Rock

Chapter 3 Finite Difference Approximation

3.1 Finite Difference Solution

3.2 Approximations of the One-Dimensional Derivative

3.3 Stability Criteria

3.4 FDM for Flow in Two Dimensions

3.5 Finite Difference Method

3.6 Block Centered Finite Difference Method

3.7 Numerical Solutions of Contaminant Transport

3.8 FDM Approximation of Transport with Coupled Processes

3.9 Fracture Flow Modeling

Chapter 4 Finite Element Approximation

4.1 The Finite Element Method

4.2 Solution of the Flow in One Dimension

4.3 Flow in Two Dimensions

4.4 Solution to1D Transport Equation

4.5 Solution to 2D Contaminant Transport Equation

4.6 Solution of 3D Flow and Contaminant Transport Equation

4.7 FEM Approximation of Coupled Transport Processes

4.8 Numerical Oscillation and Mitigation Criteria

Chapter 5 Method of Characteristics

5.1 Particle Tracking Methods

5.2 The Method of Characteristics

5.3 Capture Zones and Plume Purging

5.4 The Random Walk Method

5.5 Method of Characteristics Application

5.6 Control Volume Method

Chapter 6 Numerical Techniques for Hard Rocks

6.1 Modeling of Scaled Domains

6.1.1 Local Scale Double Porosity Solution

6.1.2 Discrete Fracture Network Solution

6.2 Algebraic (2D) Models as Used in Facture Design

6.2.1 PKN-C

6.2.2 KGD-C

6.2.3 PKN-N and KGD-N

6.2.4 PKN-a and KGD-a

6.2.5 Radial Model

6.3 Differential 2D Models

6.3.1 Nordgren Equation

6.3.2 Differential Horizontal Plane Strain Model

6.4 Models with Detailed Leak-off Description

6.5 Stochastic Modeling Concept

6.5.1 Applied Probability Concepts

6.5.2 Basics of Combinatorial Analysis

6.5.3 Statistical Independence

6.5.4 Random Variables and Discrete Probability Distributions

6.5.5 Continuous Probability Distribution

6.5.6 Statistical Estimation

6.5.7 Sampling Distribution

6.5.8 Markov Model

6.5.9 Sensitivity and Uncertainty Analysis

Chapter 7 Development of Conceptual Model

7.1 Model Objectives and Scopes

7.2 Analysis of the Historical Data

7.3 Deciding the Dimension of the Problem

7.4 Model Code Selection

7.5 Spatial Grid Generation

7.6 Parameterization

7.7 Selection of Boundary Conditions

7.8 Fixing the Source/Sink Term

7.9 Tracking back to Exact Solution

Chapter 8 Model Calibration

8.1 Analog vs Mathematical Model Calibration

8.2 Theory of Errors

8.3 Calibration Technique for Single Well Model

8.4 Calibration Technique for Multiple Well Local Scale Model

8.5 Calibration Technique for Regional Scale Model

8.6 Sensitivity of the Aquifer Parameters

8.7 Sensitivity of the Aquifer Boundaries

8.8 Sensitivity of the Source/Sink Terms

8.9 Validation and Verification

8.10 Calibration of the Transport Model

8.11 Uncertainty Tracking

8.12 Reliability Formulation


Chapter 9 MODFLOW Simulations

9.1 Regional Groundwater Flow Modeling Example – Central Punjab

9.1.1 Problem Definition

9.1.2 Modeling Objectives

9.1.3 Conceptual Model

9.1.4 Model Results

9.2 Hard Rock EPM Example in Vellar River Basin in Tamilnadu

9.2.1 Problem Definition

9.2.2 Modeling Objectives

9.2.3 Conceptual Model

9.2.4 Model Results

9.3 Model Application in Coastal Krishna Delta, Andhra Pradesh

9.3.1 Problem Definition

9.3.2 Modeling Objectives

9.3.3 Conceptual Model

9.3.4 Model Results

Chapter 10 SWIFT Examples

10.1 Conjunctive Use in Malaprabha Command in Karnataka

10.1.1 Problem Definition

10.1.2 Modeling Objectives

10.1.3 Conceptual Model

10.1.4 Model Results

10.2 Nargund-Navalgund with Double Porous Domain

10.2.1 Problem Definition

10.2.2 Modeling Objectives

10.2.3 Conceptual Model

10.2.4 Model Results

Chapter 11 SUTRA Examples

11.1 Upper Palar Zone in Palar River Basin

11.1.1 Problem Definition

11.1.2 Modeling Objectives

11.1.3 Conceptual Model

11.1.4 Model Results

11.2 Sea-Water Intrusion in Southern Goa

11.2.1 Problem Definition

11.2.2 Objectives

11.2.3 Simulation Set-up

11.2.4 Model Results

Chapter 12 MODFLOW-MT3D-MODPATH Example

12.1 Arsenic in Nadia District of West Bengal

12.2 Problem Definition

12.3 Modeling Objectives

12.4 Conceptual Model

12.5 Model Results


Chapter 13 MODFLOW-SWIFT Example


13.1 Water Logging and Salinity in Dharoi Command

13.1.1 Problem Definition

13.1.2 Modeling Objectives

13.1.3 Conceptual Models

13.1.4 Model Results

Chapter 14 Vertical Flow Assessment Example

14.1 Sabarmati Multi-aquifer System

14.1.1 Problem Definition

14.1.2 Modeling Objectives

14.1.3 Conceptual Model

14.1.4 Model Results

Chapter 15 Unsaturated Flow Example and Risk Assessment

15.1 Landfill Site at Ankaleshwar

15.1.1 Problem Definition

15.1.2 Modeling Objectives

15.1.3 Conceptual Model

15.1.4 Model Results

Chapter 16 Fracture Flow and Rock Deformation Example

16.1 Flow and Fracture Propagation

16.2 Modeling Objectives

16.3 Conceptual Model

16.3.1 Model

Chapter 17 Concluding Tips

17.1 Example for Conceptual Analysis

17.2 Example for Multi-aquifer Signature

Appendix A User Manual for SWIFT III Preprocessor




About the Author

Pradeep Kumar Majumdar, is a retired Scientist and Principal/Director and presently an Emeritus Professor. He has extensively worked in the areas of groundwater modeling for the last 30 years. He received his Doctoral degree from Indian Institute of Science, Master’s degree from Roorkee University (now IIT, Roorkee), UNDP Fellowship, and Jalvigyan Puraskar by Indian Society of Hydraulics (ISH). He has many scientific publications in reputed journals including ASCE and has completed numerous projects with international funding. He is an Editor/Reviewer in many international journals of the caliber of ASCE. He is also the Former Editor-in-Chief for American Journal of Water Science and Engineering (AJWSE) and now working as an editorial board member in many international journals.

New Product Tab

Here's your new product tab.