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Multilayered aquifer systems : fundamentals and applications
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Multilayered aquifer systems : fundamentals and applications

Author: A H -D Cheng
Publisher: New York : Marcel Dekker, 2000.
Series: Civil and environmental engineering, 3.
Edition/Format:   Book : English
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: A H -D Cheng
ISBN: 0824798759 9780824798758
OCLC Number: 43977721
Description: xii, 384 p. : ill. ; 24 cm.
Contents: 1.1 Groundwater Resources 1 --
1.2 Historical Notes 4 --
2.1 Darcy's Law 11 --
2.2 Continuity Equation 17 --
2.3 Heterogeneity and Anisotropy 23 --
2.4 Field Equations 29 --
2.5 Flow Net 35 --
2.6 Equivalent Aquifer Properties 41 --
2.7 Flow Refraction at Interface 50 --
3 Aquifer Theory 53 --
3.1 Confined Aquifer 53 --
3.2 Unconfined Aquifer 58 --
3.3 Thiem Solution 63 --
3.4 Dupuit Solution 68 --
3.5 Theis Solution 69 --
3.6 Evaluation of Well Function 77 --
3.7 Cooper-Jacob Solution 81 --
3.8 Type Curve 83 --
3.9 Constant Drawdown Well (Jacob-Lohman Solution) 86 --
3.10 Numerical Inversion of Laplace Transform 91 --
3.11 Computer Algebra 96 --
3.12 Large Diameter Well (Papadopulos-Cooper Solution) 100 --
3.13 Partially Penetrating Well (Hantush Solution) 104 --
3.14 Unconfined Aquifer Well (Neuman Solution) 106 --
4 Leaky Aquifer Theory 115 --
4.1 Leaky Aquifer Systems 115 --
4.2 Aquitard Flow 117 --
4.3 Governing Equations 124 --
4.4 Steady-State Leaky Aquifer Flow 125 --
4.5 Steady-State Pumping Well (Jacob Solution) 128 --
4.6 Unsteady Well (Hantush-Jacob Solution) 130 --
4.7 With Aquitard Storage (Hantush-Neuman Solution) 133 --
5 Application of Pumping Well Solutions 147 --
5.1 Pumping at Variable Rate 147 --
5.2 Superposition in Time 154 --
5.3 Superposition in Space 157 --
5.4 Method of Images 160 --
5.5 Pathlines 164 --
6 Multilayered Aquifer Theory 169 --
6.1 Aquifer-Aquitard Systems 169 --
6.2 Neuman-Witherspoon Formulation 173 --
6.3 Herrera Integro-Differential Formulation 177 --
6.4 Laplace Transform Formulation 184 --
7 Pumping Well in Multilayered Aquifer Systems 189 --
7.1 One-Aquifer System 189 --
7.2 Two-Aquifer System 192 --
7.3 Multi-Aquifer System 196 --
7.4 Three-Aquifer System 202 --
8 Application of Multilayered Aquifer Solutions 207 --
8.1 One-Aquifer Problems 207 --
8.2 Two-Aquifer Problems 211 --
8.3 Three-Aquifer Problems 217 --
9 Sensitivity Analysis 223 --
9.1 Parameter Sensitivity 223 --
9.2 Sensitivity of Theis Solution 224 --
9.3 Sensitivity of Hantush-Jacob Solution 230 --
10 Parameter Determination 237 --
10.1 Inverse Problem 237 --
10.2 Nonlinear Least Square 240 --
10.3 Optimization Techniques 242 --
10.4 Theis Aquifer 248 --
10.5 Hantush-Jacob Solution 254 --
11 Stochastic Analysis 261 --
11.1 Uncertainty in Modeling 261 --
11.2 Random Processes and Ensemble Statistics 263 --
11.3 Temporal Statistics and Ergodicity 270 --
11.4 Two Stream Problem--Steady State Solution 271 --
11.5 Spectral Analysis 284 --
11.6 Two Stream Problem--Unsteady Solution 287 --
11.7 Perturbation Technique 292 --
11.8 Uncertainty Analysis of Theis Solution 295 --
12 Fractured Aquifer 301 --
12.1 Fractured Porous Media 301 --
12.2 Multiple Porosity Model 303 --
12.3 Pumping Well in Double Porosity Medium 308 --
12.4 Barenblatt Model 312 --
Appendix A Laplace Transform 321 --
Appendix B Fortran Programs 325 --
B.1 Theis Well Function W([mu]) 325 --
B.2 Jacob-Lohman Well Functions 326 --
B.3 Papadopulos-Cooper Well Functions 328 --
B.4 Hantush-Jacob Well Function W([mu],[beta]) 329 --
B.5 Neuman Well Functions 330 --
B.6 Hantush-Neuman Well Functions W[subscript 1,2]([mu, beta, eta]) 334 --
B.7 Hantush Small Time Leaky Aquifer Well Function H([mu, beta]') 335 --
B.8 Variable Pumping Rate 336 --
B.9 Three-Aquifer System 338 --
B.10 Parameter Determination 343 --
B.11 Common Subroutines 346 --
Appendix C Mathematica Macros 357 --
C.1 Preparatory Work 357 --
C.2 Numerical Inversion of Laplace Transform 357 --
C.3 Well Functions and Drawdown for One-Aquifer Systems 358 --
C.4 Drawdown for Multilayered Aquifer Systems 362 --
C.5 Aquifer Parameter Identification 365 --
C.6 Stochastic Theis Solution 367 --
C.7 Double Porosity Medium9 369.
Series Title: Civil and environmental engineering, 3.
Responsibility: Alexander H.-D. Cheng.
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