岩土体水力学非线性问题

Nonlinear problems in rock and soil mass hydraulics

非线性问题是岩土体水力学研究的主要内容之一。将岩土体水力学非线性问题按非线性性质划分为以下7类:(1)渗流区域非线性问题(具有自由面的无压渗流);(2) 本构关系非线性问题(非达西渗流);(3) 渗透参数非线性问题(非饱和渗流);(4) 流态非线性问题(多相体渗流);(5) 介质非线性问题(多重介质渗流);(6) 相互作用非线性问题(渗流与溶质运移、温度、应力等耦合问题);(7) 多重非线性问题(上述两种或两种以上非线性问题的组合)。对这7类非线性问题的背景、特点、数学性质、解法、应用等方面进行系统的分析与归纳总结。可以看出,对非线性问题的继续深入研究必将推动岩土体水力学的进一步发展。

The nonlinear problems are one item of the main research contents of rock and soil mass hydraulics. The nonlinear problems in rock and soil mass hydraulics are classified as seven kinds as follows: (1) the non-linearity of seepage region (unconfined seepage with free surface); (2) the non-linearity of constitutive relationship (non-Darcy抯 seepage); (3) the non-linearity of seepage parameters (unsaturated seepage); (4) the non-linearity of flow phase (multiple-phase seepage); (5) the non-linearity of media (multiple-level media seepage); (6) the non-linearity of interaction (coupled analysis of seepage, solute, temperature, stress, etc.); (7) the multiple-level non-linearity (combined by two or more than two kinds of non-linearity above). The background, characteristic, mathematical characteristic, solution method and application of the above seven kinds of non-linearity are systematically analyzed and summarized. It can be shown that the continuing research on non-linearity can promote the further development of rock and soil mass hydraulics.