Mirror image reflection method of seepage analysis for deep well dewatering with linear recharge boundary
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Graphical Abstract
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Abstract
The analytic method of deep well dewatering with two lateral linear recharge boundary was obtained by successively adding infinite multi-mirror-image reflections. The nonlinear equation group expressed by infinite series was made up in the condition of different water level and recharge quantity on two lateral linear recharge boundary. By Leibniz Criterion the concerned infinite series was proved to be convergent so as to determine that there was limit value of solution. The composed programme uses successive substitution method to solve nonlinear equation group, and provides the influence distance conception of the linear recharge boundary and method to determine it. It is called the analytic method of well group interference under the condition of two lateral linear recharge boundary. It is shown by engineering practice that the computation programme of this method can be applied conveniently to save labour and time.
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