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Impervious Base Inclined Constant Drawdown Wells Pumping Unsteady Flow The Analytical Solution

Posted on:2017-02-21Degree:MasterType:Thesis
Country:ChinaCandidate:J WenFull Text:PDF
GTID:2310330488463576Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
When the lateral boundary of the confined aquifer is very far from the wells, What time is the boundary of the study area is not obviously obviously distributed head impact. We can put the water as no external supply of infinite aquifer. Then, when the bearing layer in a single well flow pumping his mathematical model based on some hypothesis conditions. First of all,the nature of the same homogeneous aquifer in all directions, the same thickness, lateral infinite, occurrence type level. Secondly, in the natural condition of water pumping before the natural gradient in zero time. Then, complete the pumping well diameter, infinite small time. In a water wet layer is also to meet the Darcy's law. Finally, when the drawdown will cause groundwater from storage in releasing it is instantaneous is instantaneous. Based on the assumption that, after the formation of the well pumping wells pumping shaft to funnel down the axis of symmetry, we will now coordinate origin at the bottom of the aquifer pumping well place, this time axis is the Z axis. At this time,the single well is a well can get complete wells wells flow. This article is based on Professor Zhang Yuzhen's constant flow when the aquifer's groundwater wells near the floor inclined non analytic solution results of steady flow, and then discuss the solution of analytical calculation in deep down time. This paper adopts the method of Boussinesq partial differential equation solving, using a modified Bessel equation to solve the difficulties in the operation, again using Laplace transform and Laplace transform properties and other methods, finally solved in constant drawdown when analysis of aquifer inclined unsteady well flow through the whole calculation equation.
Keywords/Search Tags:aquifer, impervious base, constant dawn down, the analytical solution
PDF Full Text Request
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