非均质表皮层径向双层承压井流数学模型的半解析解

发布时间：2018-04-24 07:14

  本文选题：各向异性 + 非均质　； 参考：《工程数学学报》2016年03期

【摘要】：考虑表皮层和未扰动承压层的非均质性、各向异性以及竖向越流补给作用,建立了径向双层承压三维井流的数学模型,采用Laplace变换和矩阵理论求得表皮层和未扰动承压层的水头降以及井壁流量的半解析解.应用所求解编制计算程序,分析了表皮层沿竖向随机变化的渗透性对承压层井流的影响,结果表明:表皮层非均质变化形态决定了表皮层内和其附近处的水头降以及井壁流量的竖向分布规律,表皮层对承压层渗流产生的影响范围与承压层的竖向渗透系数大小有关;改善井周岩土介质渗透性或增大"负表皮层"厚度可提高抽水井产量;表皮层径向渗透系数较小时,承压层的水头降幅度主要取决于承压层径向渗透系数的大小,而当表皮层径向渗透系数较大时,承压层径向渗透系数和竖向渗透系数均对承压层水头降有较大影响.
[Abstract]:Considering the heterogeneity, anisotropy and vertical overflowing recharge of the surface layer and undisturbed confined layer, a mathematical model of radial double-layered pressure 3-D well flow is established. By using Laplace transform and matrix theory, the semi-analytical solutions of head drop and wellbore flow of the surface layer and undisturbed bearing layer are obtained. Based on the calculation program, the influence of random variation of percolation along vertical direction on well flow in confined layer is analyzed. The results show that the heterogeneity of the epidermis determines the water head drop in and around the epidermis and the vertical distribution of the wellbore flow. The influence of the epidermis on the percolation of the confined layer is related to the vertical permeability coefficient of the confined layer. Improving the permeability of rock and soil around wells or increasing the thickness of "negative epidermis" can increase the output of pumping wells, and when the radial permeability coefficient of the surface layer is small, the water head drop of the confined layer mainly depends on the radial permeability coefficient of the confined layer. When the radial permeability coefficient of the surface layer is larger, both the radial permeability coefficient and the vertical permeability coefficient of the confined layer have great influence on the water head drop of the confined layer.
【作者单位】： 武夷学院土木工程与建筑学院;浙江大学软弱土与环境土工教育部重点实验室;铁道第三勘察设计院集团有限公司;江苏大学土木工程与力学学院;
【基金】：浙江省自然科学基金重点项目(Z5080175) 福建省自然科学基金(2012J05096) 福建省教育厅科技项目(JA13322)~~
【分类号】：O302
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本文编号：1795669