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本文通过大量工程的野外调研和岩溶塌陷数据资料分析，将覆盖型岩溶发育地区土体盖层岩溶塌陷的数学模型分为导水盖层和阻水盖层两种典型情况。提出了“导水介质覆盖层的渗流场—应力场耦合的数学模型”和“阻水介质盖层的渗流场—强度弱化—压差场数学模型”。针对模型的数学物理意义进行了探讨并提出了建立“岩溶塌陷数学模型系统”的基本设想。
Based on a large number of field research and data analysis of karst collapse, the mathematical model of karst collapse in cover karst area is divided into two typical cases: water-bearing cap and water-blocking cap. The mathematical model of “seepage field-stress field coupling of water-conducting medium covering layer” and “the seepage field-strength weakening-pressure difference field mathematical model of water-proofing medium cover layer” are put forward. The mathematical and physical significance of the model was discussed and the basic idea of establishing the mathematical model system of karst collapse was proposed.