ANALYTICAL SOLUTIONS OF GEOHYDROLOGICAL

This book has been divided into two parts, A and B. Part A comprises analytical solutions of about 1100 geohydrological problems in the saturated zone. Classification of the problems according to certain characteristics. Part B consists of three chapters, describing the basic principles for saturated ground water flow, analytical solution methods and mathematical functions respectively.

Introduction to Part A

7

(1)

Abbreviations of solution methods

8

(1)

Classification of groundwater in the saturated zone

9

(1)

Main orientation table

10

(5)

A. Phreatic water

15

(36)

Orientation table A

15

(36)

Exact solutions in phreatic flow

16

(6)

One-dimensional horizontal phreatic flow

22

(5)

Two-dimensional radial-symmetric horizontal phreatic flow

27

(3)

General two-dimensional horizontal phreatic flow

30

(21)

BI. One-dimensional groundwater flow

51

(98)

Orientation table BI

51

(98)

One-dimensional groundwater flow in an infinite field

53

(7)

One-dimensional groundwater flow in a semiinfinite field

60

(35)

One-dimensional groundwater flow in a finite field

95

(49)

Discontinuities in one-dimensional groundwater flow

144

(5)

BII. Two-dimensional radial-symmetric groundwater flow

149

(74)

Orientation table BII

149

(74)

Two-dimensional radial-symmetric groundwater flow in an infinite field

151

(10)

Two-dimensional radial-symmetric groundwater flow outside a circular cylinder

161

(25)

Two-dimensional radial-symmetric groundwater flow inside a circular cylinder 230

186

(24)

Combinations in radial-symmetric groundwater flow

210

(13)

BIII. General two-dimensional groundwater flow

223

(120)

Orientation table BIII

223

(120)

General two-dimensional groundwater flow in an infinite field

227

(17)

General two-dimensional groundwater flow in an infinite half plane

244

(16)

General two-dimensional groundwater flow in an infinite quarter of a plane

260

(24)

General two-dimensional groundwater flow in an infinite strip

284

(7)

General two-dimensional groundwater flow in a semi-infinite strip

291

(30)

General two-dimensional groundwater flow in a finite strip

321

(16)

Combinations in general two-dimensional groundwater flow

337

(6)

BIV. Three-dimensional spherical symmetry

343

(10)

Orientation table BIV

343

(10)

Three-dimensional spherical-symmetric groundwater flow in an infinite field

344

(4)

Three-dimensional spherical-symmetric groundwater flow outside a sphere

348

(5)

BV. Three-dimensional axial symmetry

353

(70)

Orientation table BV

353

(70)

Three-dimensional axial-symmetric groundwater flow in an infinite field

356

(6)

Three-dimensional axial-symmetric groundwater flow in a semi-infinite field

362

(13)

Three-dimensional axial-symmetric groundwater flow in a finite field

375

(18)

Three-dimensional axial-symmetric groundwater flow inside a circular cylinder

393

(17)

Three-dimensional axial-symmetric groundwater flow outside a circular cylinder

410

(3)

Three-dimensional axial-symmetric groundwater flow with discontinuous ground parameters

413

(10)

BVI. Three-dimensional groundwater flow

423

(8)

Orientation table BVI

423

(8)

General three-dimensional groundwater flow in a semi-infinite or infinite field

424

(3)

General three-dimensional groundwater flow in a finite field

427

(4)

C. Multi-layer systems

431

(40)

Orientation table C

431

(40)

One-dimensional flow in continuous multi-layer systems

433

(8)

Two-dimensional radial flow in continuous multi-layer systems

441

(9)

General two-dimensional flow in continuous multi-layer systems

450

(6)

Multi-layer systems with a vertical flow component in one or more of the aquifers

456

(3)

Discontinuous multi-layer systems

459

(12)

D. Dispersion

471

(14)

Orientation table D

471

(14)

Dispersion in uniform flow

472

(10)

Dispersion in radial-symmetric flow

482

(3)

E. Sharp interface, density flow

485

(26)

Orientation table E

485

(26)

Exact solutions in interface flow

486

(5)

One-dimensional horizontal interface flow

491

(6)

Two-dimensional radial-symmetric horizontal interface flow

497

(5)

General two-dimensional horizontal interface flow

502

(9)

Contents PART B

511

(438)

List of Symbols

949

(6)

Index

955

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ANALYTICAL SOLUTIONS OF GEOHYDROLOGICAL PROBLEMS

Summary

Table of Contents

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Table of Contents

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