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Wedge-shaped and sloping aquifers Adam Forsberg January 28, 2013
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Until Now Thickness constant Water table horizontal 3 Cases: 1.Wedge shaped confined aquifers at unsteady-state 2.Sloping unconfined aquifers at steady-state 3.Sloping unconfined aquifers at unsteady-state
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Wedge-shaped confined at unsteady-state flow Assumptions – Thickness of aquifer varies exponentially in direction of flow (x- direction) Constant in y-direction – Homogeneous, isotropic – Rate of change in aquifer thickness < 0.20 in direction of flow
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Hantush’s inflection point method
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Sloping, unconfined aquifers steady-state Culmination-point method – Slope of the water table = slope of impermeable basement Assumptions – Unconfined Aquifer with constant saturated thickness – Slopes uniformly in the direction of flow
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Sloping, unconfined aquifers steady-state Flow per unit width – F = width where water is drawn – α= slope of the impermeable base At some distance from the well, the combined slopes for α and dh/dx will equal zero – Inflection or culmination point
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Sloping, unconfined aquifers unsteady-state Assumptions – Unconfined – Seemingly infinite areal extent – Isotropic, homogeneous, and uniform thickness – Prior to pumping, the water table slopes in direction of flow with gradient < 0.2 – Unsteady-state
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Sloping, unconfined aquifers unsteady-state Hantush’s method i < 0.2
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