Preface |
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ix | |
About this book |
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xi | |
Acknowledgement |
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xiii | |
Authors |
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xv | |
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0 Basics of groundwater flow |
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1 | (1) |
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1 | (1) |
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2 | (1) |
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0.3 Representative elementary volume |
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2 | (1) |
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0.4 Hydraulic conductivity and porosity |
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3 | (1) |
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0.5 Aquifers and aquitards |
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4 | (1) |
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0.6 Storage and transient flow |
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5 | (1) |
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0.7 Darcy's law for groundwater modeling |
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6 | (1) |
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0.8 Dupuit and Forchheimer |
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7 | (1) |
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7 | (2) |
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1 Steady one-dimensional flow with constant transmissivity |
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9 | (16) |
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1.1 Flow between two rivers |
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10 | (3) |
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1.2 Areal recharge between two rivers |
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13 | (5) |
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1.3 Areal recharge between an impermeable boundary and a river |
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18 | (4) |
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1.4 Flow through two zones of different transmissivities |
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22 | (3) |
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2 Steady one-dimensional semi-confined flow |
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25 | (18) |
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2.1 Flow from a canal to a drained area |
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26 | (3) |
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2.2 Flow between a lake and a drained area |
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29 | (3) |
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2.3 Flow to a long river of finite width |
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32 | (3) |
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2.4 Flow to a river in a two-aquifer system |
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35 | (4) |
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2.5 Areal recharge between two rivers in a two-aquifer system |
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39 | (4) |
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3 Steady one-dimensional unconfined flow with variable saturated thickness |
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43 | (12) |
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3.1 Areal recharge between an impermeable boundary and a river |
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44 | (4) |
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3.2 Flow over a step in the aquifer base |
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48 | (2) |
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3.3 Combined confined/unconfined flow with areal recharge |
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50 | (5) |
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4 Steady one-dimensional flow in coastal aquifers |
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55 | (14) |
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4.1 Confined interface flow |
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56 | (4) |
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4.2 Unconfined interface flow |
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60 | (4) |
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4.3 Combined confined/semi-confined interface flow |
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64 | (5) |
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5 Transient one-dimensional flow |
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69 | (26) |
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5.1 Step changes in surface water level |
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70 | (7) |
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5.2 Periodic changes in surface water level |
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77 | (3) |
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5.3 Areal recharge between two rivers |
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80 | (7) |
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5.4 Solutions with Laplace transforms |
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87 | (4) |
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5.5 Unconfined flow with variable transmissivity |
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91 | (4) |
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6 Steady two-dimensional flow to wells |
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95 | (22) |
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6.1 Radially symmetric flow on a circular island |
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98 | (4) |
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6.2 Wells near rivers and impermeable boundaries |
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102 | (6) |
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6.3 Wells near an inhomogeneity boundary |
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108 | (2) |
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6.4 Wells in a semi-confined aquifer |
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110 | (3) |
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6.5 Wells in a two-aquifer system |
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113 | (4) |
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7 Steady two-dimensional flow to wells in uniform background flow |
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117 | (20) |
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7.1 A single well in uniform background flow |
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117 | (5) |
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122 | (2) |
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7.3 A well in uniform background flow near a river |
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124 | (5) |
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7.4 A well in uniform background flow near a river with a leaky stream bed |
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129 | (5) |
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7.5 A well in uniform background flow near the coast |
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134 | (3) |
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8 Analytic element modeling of steady two-dimensional flow |
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137 | (14) |
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8.1 Uniform flow and wells |
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137 | (7) |
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8.2 Line-sinks for modeling rivers and streams |
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144 | (4) |
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8.3 Area-sinks for modeling areal recharge |
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148 | (3) |
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9 Transient two-dimensional flow |
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151 | (20) |
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9.1 Wells in confined and unconfined aquifers |
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152 | (6) |
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9.2 Wells with a periodic discharge |
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158 | (2) |
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9.3 Wells in a semi-confined aquifer |
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160 | (4) |
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9.4 Wells with wellbore storage and skin effect |
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164 | (3) |
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9.5 Wells in a two-aquifer system |
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167 | (4) |
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10 Steady two-dimensional flow in the vertical plane |
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171 | (28) |
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172 | (2) |
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10.2 Flow to a partially penetrating stream |
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174 | (7) |
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10.3 Flow over a step in the base |
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181 | (4) |
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10.4 Spatially varying head at the top of the aquifer |
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185 | (5) |
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10.5 Interface flow towards the coast |
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190 | (4) |
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10.6 Interface flow below a strip island |
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194 | (5) |
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199 | (20) |
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200 | (3) |
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A.2 Loops and if statements |
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203 | (2) |
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A.3 The numpy package and arrays |
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205 | (5) |
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A.4 The matplotlib package for visualization |
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210 | (3) |
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213 | (3) |
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A.6 The scipy package for scientific computing |
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216 | (3) |
Numerical answers to selected problems |
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219 | (2) |
Bibliography |
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221 | (4) |
Index |
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225 | |