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E-raamat: Multilayered Aquifier Systems: Fundamentals and Applications

(University of Mississippi, USA)
  • Formaat: 400 pages
  • Ilmumisaeg: 18-Jul-2000
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781482292220
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  • Formaat: 400 pages
  • Ilmumisaeg: 18-Jul-2000
  • Kirjastus: CRC Press Inc
  • Keel: eng
  • ISBN-13: 9781482292220

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A reference for groundwater professionals practicing the multilayered aquifer theory. Early chapters provide a pedagogical presentation of the multilayered aquifer theory, starting with classical Theis theory. Material is presented with simplified mathematics using an automated numerical Laplace inversion procedure. To enable readers to apply the theory, two types of tools are constructed: one based on Fortran and the other based on Mathematica. Later chapters introduce unconventional subjects, including sensitivity analysis, stochastic analysis, and fractured aquifers. A chapter on parameter determination uses a computer automated, nonlinear least square approach in place of traditional type-curve matching. Can be used as a graduate text for students with background in calculus, differential equations, and groundwater hydrology. Cheng is professor of civil and environmental engineering at the University of Delaware. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Offers a systematic and unified approach to the classical theories and recent techniques of multilayered aquifer systems. Clarifies governing principles and facilitates industrial problem solving. Uses the automated numerical Laplace inversion procedure to simplify mathematical materials.
Preface v
Introduction
1(10)
Groundwater Resources
1(3)
Historical Notes
4(4)
Scope and Organization
8(3)
Fundamentals
11(42)
Darcy's Law
11(6)
Continuity Equation
17(6)
Heterogeneity and Anisotropy
23(6)
Field Equations
29(6)
Flow Net
35(6)
Equivalent Aquifer Properties
41(9)
Flow Refraction at Interface
50(3)
Aquifer Theory
53(62)
Confined Aquifer
53(5)
Unconfined Aquifer
58(5)
Thiem Solution
63(5)
Dupuit Solution
68(1)
Theis Solution
69(8)
Evaluation of Well Function
77(4)
Cooper-Jacob Solution
81(2)
Type Curve
83(3)
Constant Drawdown Well (Jacob-Lohman Solution)
86(5)
Numerical Inversion of Laplace Transform
91(5)
Computer Algebra
96(4)
Large Diameter Well (Papadopulos-Cooper Solution)
100(4)
Partially Penetrating Well (Hantush Solution)
104(2)
Unconfined Aquifer Well (Neuman Solution)
106(6)
Summary
112(3)
Leaky Aquifer Theory
115(32)
Leaky Aquifer Systems
115(2)
Aquitard Flow
117(7)
Governing Equations
124(1)
Steady-State Leaky Aquifer Flow
125(3)
Steady-State Pumping Well (Jacob Solution)
128(2)
Unsteady Well (Hantush-Jacob Solution)
130(3)
With Aquitard Storage (Hantush-Neuman Solution)
133(11)
Summary
144(3)
Application of Pumping Well Solutions
147(22)
Pumping at Variable Rate
147(7)
Superposition in Time
154(3)
Superposition in Space
157(3)
Method of Images
160(4)
Pathlines
164(5)
Multilayered Aquifer Theory
169(20)
Aquifer-Aquitard Systems
169(4)
Neuman-Witherspoon Formulation
173(4)
Herrera Integro-Differential Formulation
177(7)
Laplace Transform Formulation
184(5)
Pumping Well in Multilayered Aquifer Systems
189(18)
One-Aquifer System
189(3)
Two-Aquifer System
192(4)
Multi-Aquifer System
196(6)
Three-Aquifer System
202(5)
Application of Multilayered Aquifer Solutions
207(16)
One-Aquifer Problems
207(4)
Two-Aquifer Problems
211(6)
Three-Aquifer Problems
217(6)
Sensitivity Analysis
223(14)
Parameter Sensitivity
223(1)
Sensitivity of Theis Solution
224(6)
Sensitivity of Hantush-Jacob Solution
230(7)
Parameter Determination
237(24)
Inverse Problem
237(3)
Nonlinear Least Square
240(2)
Optimization Techniques
242(6)
Theis Aquifer
248(6)
Hantush-Jacob Solution
254(7)
Stochastic Analysis
261(40)
Uncertainty in Modeling
261(2)
Random Processes and Ensemble Statistics
263(7)
Temporal Statistics and Ergodicity
270(1)
Two Stream Problem-Steady State Solution
271(13)
Spectral Analysis
284(3)
Two Stream Problem-Unsteady Solution
287(5)
Perturbation Technique
292(3)
Uncertainty Analysis of Theis Solution
295(6)
Fractured Aquifer
301(20)
Fractured Porous Media
301(2)
Multiple Porosity Model
303(5)
Pumping Well in Double Porosity Medium
308(4)
Barenblatt Model
312(9)
Appendix A Laplace Transform 321(4)
Appendix B Fortran Programs 325(32)
B.1 Theis Well Function W (u)
325(1)
B.2 Jacob-Lohman Well Functions
326(2)
B.3 Papadopulos-Cooper Well Functions
328(1)
B.4 Hantush-Jacob Well Function W (u, β)
329(1)
B.5 Neuman Well Functions
330(4)
B.6 Hantush-Neuman Well Functions W1,2(u,β,η)
334(1)
B.7 Hantush Small Time Leaky Aquifer Well Function H (u,β')
335(1)
B.8 Variable Pumping Rate
336(2)
B.9 Three-Aquifer System
338(5)
B.10 Parameter Determination
343(3)
B.11 Common Subroutines
346(10)
B.12 Summary
356(1)
Appendix C. Mathematica Macros 357(14)
C.1 Preparatory Work
357(1)
C.2 Numerical Inversion of Laplace Transform
357(1)
C.3 Well Functions and Drawdown for One-Aquifer Systems
358(4)
C.4 Drawdown for Multilayered Aquifer Systems
362(3)
C.5 Aquifer Parameter Identification
365(2)
C.6 Stochastic Theis Solution
367(2)
C.7 Double Porosity Medium
369(2)
Bibliography 371(10)
Index 381
Cheng, Alexander H.D.