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基于地下水径向渗流单井排放诱发的地表位移的一般公式,结合地下水径向稳定混合流的降深表达式,导出了在均质含水层潜水井和承压井两种情况下的地下水稳定混合流单井排放诱发地表位移的解析表达式,讨论了所求表达式的数值积分计算方案,并以20个节点的Hermite求积公式编制了计算程序,并以实例验证了本文方法的可行性.本文研究为在地下水稳定混合流场地区进行高精度动态大地测量时定量考虑地下水排放产生的地壳形变影响提供了基础.
Based on the general formula of surface displacement induced by single well discharge of radial seepage in groundwater and combined with the expression of the radial steady mixed flow in groundwater, the stable mixing of groundwater in both submarine aquifers and bearing wells is derived The analytical expressions of surface displacement caused by single well discharge are discussed. The numerical integration scheme of the expression is discussed. The calculation program is compiled by the Hermite quadrature formula of 20 nodes. The feasibility of the method is verified by an example. This study provides a basis for quantitatively considering the impact of crustal deformation caused by groundwater discharge in high-precision dynamic geodesy in areas with stable groundwater mixed flow.