A fractal mobile-immobile (MIM in short) solute transport model in porous media is set forth, and an inverse problem of determining the fractional orders by the additional measurements at one interior point is investigated by Laplace transform. The unique existence of the solution to the forward problem is obtained based on the inverse Laplace transform, and the uniqueness of the inverse problem is proved in the real-space of Laplace transform by the maximum principle, and numerical inversions with noisy data are presented to demonstrate a numerical stability of the inverse problem.

翻译：在多孔介质中,分形移动-半移动(简称MIM)溶液运输模型(简称MIM)被列出,由Laplace变换来调查在一个内部点通过额外测量确定分序的逆向问题,根据Laplace逆向变换获得解决前方问题的独特性,反向问题的独特性在Laplace通过最大原则变换的实际空间中得到证明,用噪音数据进行数字反向,以显示反向问题的数字稳定性。