Applied Mathematics in Hydrogeology: 1st Edition (Hardback) book cover

Applied Mathematics in Hydrogeology

1st Edition

By Tien-Chang Lee

CRC Press

400 pages

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Hardback: 9781566703758
pub: 1998-12-10
eBook (VitalSource) : 9781315137643
pub: 2019-01-22
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As introduced in Dr. Lee's 10-week class, Applied Mathematics in Hydrogeology is written for professionals and graduate students who have a keen interest in the application of mathematics in hydrogeology.

Its first seven chapters cover analytical solutions for problems commonly encountered in the study of quantitative hydrogeology, while the final three chapters focus on solving linear simultaneous equations, finite element analysis, and inversion for parameter determination.

Dr. Lee provides various equation-solving methods that are of interest to hydrogeologists, geophysicists, soil scientists, and civil engineers, as well as applied physicists and mathematicians. In the classroom, this same information will help students realize how familiar equations in hydrogeology are derived-an important step toward development of a student's own mathematical models.

Unlike other applied mathematics books that are structured according to systematic methodology, Applied Mathematics in Hydrogeology emphasizes equation-solving methods according to topics. Hydrogeological problems and governing differential equations are introduced, including hydraulic responses to pumping in confined and unconfined aquifers, as well as transport of heat and solute in flowing groundwater.

Table of Contents

Conservation Equations

Source Functions and Convolution

Laplace and Hankel Transforms

Drawdown in Confined Aquifers

Drawdown in Unconfined Aquifers

Heat Transfer and Groundwater Flow

Solute Transport

Solving Ax=b

Finite Element Analysis

Inverse Problems

Appendix: Notes on Equation Solving

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Environmental Science
TECHNOLOGY & ENGINEERING / Environmental / Water Supply