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Wedge-shaped and sloping aquifers

Wedge-shaped and sloping aquifers. Adam Forsberg January 28, 2013. Until Now. Thickness constant Water table horizontal. 3 Cases: W edge shaped confined aquifers at unsteady-state S loping unconfined aquifers at steady-state S loping unconfined aquifers at unsteady-state.

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Wedge-shaped and sloping aquifers

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  1. Wedge-shaped and sloping aquifers Adam Forsberg January 28, 2013

  2. Until Now • Thickness constant • Water table horizontal • 3 Cases: • Wedge shaped confined aquifers at unsteady-state • Sloping unconfined aquifers at steady-state • Sloping unconfined aquifers at unsteady-state

  3. 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

  4. Hantush’s inflection point method

  5. 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

  6. 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

  7. Sloping, unconfined aquifers unsteady-state • Assumptions • Unconfined • Seeminglyinfinite areal extent • Isotropic, homogeneous, and uniform thickness • Prior to pumping, the water table slopes in direction of flow with gradient < 0.2 • Unsteady-state

  8. Sloping, unconfined aquifers unsteady-state • Hantush’s method • i < 0.2

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