裂隙岩体中的对流扩散研究

揭示一个基于代数拓扑理论的裂隙网络中物质弥散模型，还给出了应用于网络中的对流扩散的对应性原理的证明。应用拓扑理论给出的框架，使其起了一个数据结构的组织者的作用，由此得到网络中每一个分支上的浓度的解。这个解是在拉普拉斯空间上的解析解。网络中任意点在任何时刻的浓度可以很方便地用数值拉氏反变换求出。

Simulations of Hydrodynamic Dispersions in the Fractured Rock Network

Based on the assumptions of a single channel between two nodes and no capacity in nodes, the algebraic topology theory can be used to construct a frame for analyzing longitudinal dispersion through fractured rock network. The solution for each branch is foe analytical one so that high accurate solution for the whole network should be expected. because the solution is not a hybrid one, there is no discretization in either time or space. A proof is given that the reciprocity principle applies to Dercian flow in a network.