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Author(s) Ashok Kumar Rastogi
Year of Publication 2007, Reprint 2012
Edition First
Pages 981
Cover Type Soft Cover
Size 7" x 9"
Book Includes Solutions Manual CD
ISBN-13 978-81-87972-27-3

Availability: In stock

List Price: ₹595.00

Discount: 20%

Net Price ₹476.00

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About the Book

About The Book

Dr. A.K. Rastogi’s book on Numerical Groundwater Hydrology is prepared upon his teaching experience over the past twenty-four years of subjects related to groundwater hydraulics. This book provides an accurate and deep understanding of the numerical aspect of groundwater hydrology and helps the students to solve the numerical problems. Numerical problems test the understanding of concepts much better than theoretical problems. This book adeptly fills the vacant space of a standard book focusing on numerical problems of groundwater hydraulics (also referred to as fluid dynamics).

Water security is a major concern of the 21st century because of its direct link with food security. Apart from agricultural needs, municipal expansion and increasing industrial requirements have led to an increased demand for water. Groundwater is an important resource and to meet these growing demands, it is used in many countries today. Therefore groundwater exploration, planning, and management will play an important role in the effective utilization of this precious resource. For this reason, groundwater hydrology will continue to be an important subject in almost all technical institutions for a very long time to come.

This book is written for Undergraduate and Postgraduate students of civil engineering, water resources engineering, environmental engineering, agriculture engineering and earth sciences. Those who are pursuing a degree or diploma course in the areas of Water Resources Management, Hydro-Geology, Geo-Hydrology and various centers of Environmental Science and Engineering will also find this book useful.

The chapters on inverse modeling, numerical modeling and solute transport will be useful reading for research scholars and scientists working on various boards dealing with groundwater and centers of water resources. The chapters dealing with groundwater flow and transport modeling will give students the necessary confidence to use different types of commercial software packages available on these areas.


  • Derivations of all important equations and solutions of important equations.
  • 146 solved numerical problems some on finite difference, finite element, solute transport modelling etc.
  • 100 questions and 98 numerical problems for exam paper setters.
  • 12 chapters with 431 figures and 1093 equations


Introduction to Groundwater Hydrology: General Water Balance. Regional Groundwater Balance. Distribution of Subsurface Water. Different Types of Aquifers. The occurrence of Groundwater in Hydrogeologic Formations. Structure and Types of Wells. Components of Groundwater Studies. Questions.

Geophysical Methods in Groundwater Exploration: Introduction. Electrical Resistivity Method. Analytical Derivation for Resistivity in Vertical Electrical Sounding. Seismic Refraction Method. Determination of Aquifer Thickness. Determination of the Top of the Sloping Aquifer. Estimation of Sloping Aquifer Thickness. Problems. Questions.

Application of Darcy Law and Aquifer Characteristics: Darcy Law. Determination of In Situ Hydraulic Conductivity. Flow through a Fractured Medium. Problems. Questions.

Governing Equation of Groundwater Flow in Aquifers: Derivation of General Differential Equations for Groundwater Flow. Regional Groundwater Problems. Governing Equations for Transient Flow Conditions.Consideration of Various Recharge and Discharge Terms. Applicable to the Equation Governing Groundwater Flow in Porous Media Problems. Questions

Steady State Well Hydraulics: Analysis of Steady Radial Flow Towards a Well in a Confined Aquifer. Dupuit Forcheimmer (DF) Theory of Free Surface Flow for Steady Flow in Unconfined Aquifers. Analysis of Steady Radial Flow in Laterally Stratified Phreatic Aquifers. Problems Questions 6. Analysis of Unsteady Radial Flow to Wells. Analytical Solution of Unsteady Radial Flow to a Well. Flow Through a Leaky Confined Aquifer. Application of Image Well Theory to Simulate Hydrogeological Boundaries. Further Application of Pumping Test Analysis. Interference between Wells. Partial Penetration of Wells. Collector Wells (French Well or Ranney Well). Delayed Yield.Problems. Questions.

Methods of Solution Analytical Solutions:  Steady Flow in Homogeneous Isotropic Confined Aquifer of Variable Thickness. Flow Net Analysis. Flow Net Construction. Physical Models. Electrical Analog Model. Problems. Questions.

Sea Water Intrusion in Coastal Aquifers: Ghyben-Herzberg Theory. The shape of Interface in Circular Oceanic Islands. To Locate the Actual Interface for a Confined Aquifer. Modeling Equations in Sea Water Intrusion. Prevention and Control of Sea Water Intrusion. Case Study Involving Sea Water Intrusion Modeling. Problems. Questions

Models for Groundwater Analysis: Introduction. Major Applications of Groundwater Models. Numerical Modeling of Groundwater Systems(Finite Differences). Numerical Examples. Time-Variant Groundwater Flow Modeling. Groundwater Modeling by the Finite Element Method (FEM). Galerkin's Finite Element Formulation. Case Study (FEM & FD). Problems. Questions.

Inverse Modeling in Groundwater Flow. The Importance of Inverse Modeling. Direct Method of Parameter Estimation. Indirect Method of Parameter Estimation.Genetic Algorithm (GA). Case Study 1 Inverse Problem by Simulated Annealing Method. Case Study 2. Problems. Questions.

Pollution of Groundwater: Introduction. Hydrodynamic Dispersion of Pollutants in Groundwater Environment. Advection-Dispersion Equation for Modeling of Contaminant Transport in Porous Media. Direct Measurement of Average Linear Velocity. Experimental Determination of α Models for the Prediction of the Quality of the Groundwater Environment (Finite Difference and Finite Element). Solute Transport Modeling by the Finite Element Method. Case Study. Modified Method of Characteristics (MMOC). Particle Tracking Method. Random Walk Transport Model. Protection of Groundwater Environment. Problems. Questions.

Artificial Recharge of Aquifers: Introduction. Current Trends in Artificial Recharge. 

Case Studies 1, 2 & 3

Closure. Questions

About the Author

About the author

Ashok Kumar Rastogi obtained Ph.D. in  Civil Engineering from the University of Birmingham, UK 1983. He has a special interest in groundwater systems planning and management, Aquifer remediation, pollutants movement in the subsurface, seawater intrusion, its hydrodynamics and inverse modeling for aquifer systems.

He has supervised several M. Tech. and Ph.D. theses and undertaken sponsored and consultancy research projects in these areas. In 1987, he was in the USA to work on systems modeling and optimization. He has reviewed a number of research papers for ASCE, Institution of Engineers, Hydrology Journals and project for DST, IARi and other organizations. He has been an external examiner to Ph.D. and M.Tech. theses from various leading institutions.

He has participated in many National/International conferences, chaired sessions and delivered keynote addresses in the area of Water Resources Engineering. He has published several papers in research journals, offered courses in the area of Groundwater Hydraulics, Fluid Mechanics, Environmental Impact Assessment of Water Resource Projects, Subsurface Hydrology, Water Wave Mechanics and Geophysics to Under Graduate and Post Graduate students at IIT Bombay.

He was a visiting professor at the University of Auckland, New Zealand and at the University of Incheon, South Korea. He is a fellow member of several professional organizations and is presently working as Professor, Department of Civil Engineering at IIT Bombay. He was also Associate Dean Planning at IIT Bombay for over three years. He has traveled widely in pursuit of his academic engagements.

His research interest includes Ground Water Systems planning and management, Aquifer Remediation, Pollutants Movement and Inverse Modeling.

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Key features

Key features


  • Derivations of all important equations and solutions of important equations.
  • 146 solved numerical problems some on finite difference, finite element, solute transport modelling etc.
  • 100 questions and 98 numerical problems for exam paper setters.
  • 12 chapters with 431 figures and 1093 equations


UG/PG Students of Civil Engineering, Water Resources Engineering, Environmental Engineering, Agriculture Engineering, Earth sciences, Water Resources Management, Hydro-geology, Geo-hydrology. Professionals, Research Scholars and Scientists related to the subject.

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