6.1.2 Mathematical model................................................................................................................84 6.1.3 Analytical Solution: Theis formula (1935)..............................................................................85 6.1.4 Analysis of the solution...........................................................................................................86 6.1.5 Simplification of Theis formula: Jacob’s formula....................................................................87 6.1.6 Applications............................................................................................................................87 6.2 Non-steady groundwater to a well in an unconfined aquifer.....................................................94 6.2.1 Conceptual hydrogeological model.........................................................................................94 6.2.2 Mathematical model................................................................................................................94 6.2.3 Analytical Solution..................................................................................................................96 6.2.4 Analysis of results...................................................................................................................97 6.2.5 Application of the solution......................................................................................................98 6.3 Non-steady groundwater flow to a well in a semi-confined aquifer..........................................99 6.3.1 Conceptual hydrogeological model.........................................................................................99 6.3.2 Mathematical model..............................................................................................................100 6.3.3 Analytical solution.................................................................................................................101 6.3.4 Analysis of the results............................................................................................................102 6.3.5 Application of the solution....................................................................................................104 7. References............................................................................................................................................110 8. Annexes................................................................................................................................................111 T.1 Well function of confined aquifers.............................................................................................111 T.2 Well function of semi-confined aquifers....................................................................................112 T.3 Function e(x)K0x.....................................................................................................................113 T.4 Function I(x)I (x),10,(x)K (x),K10......................................................................................114 9. Exercises..............................................................................................................................................116 2 9.1 Fundamental Equations of Groundwater Flow.........................................................................116 9.2 Steady Groundwater Flow in Aquifers......................................................................................117 9.3 Steady Groundwater Flow to Wells............................................................................................120 9.4 Non-steady Groundwater Flow to Wells....................................................................................127 |
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