A network model of channel competition in fracture dissolution
A network model of channel competition in fracture dissolution
复制标题
裂缝溶蚀通道竞争网络模型
DOI：
10.1029/2005gl025334
复制
发表时间：
2006
影响因子：
5.2
通讯作者：
Piotr Szymczak
中科院分区：
文献类型：
--
作者：
Tony Ladd;Piotr Szymczak
在多孔或断裂岩石中溶解期间，矿物表面的流体输送和化学反应之间的正反馈可能导致形成明显的虫洞状通道。随着溶解的进行，通道相互作用，争夺可用的流量，最终较短的通道停止生长。因此，通道的数量随着时间的推移而减少，而它们之间的特征距离增加，这导致通道长度的尺度不变，幂律分布。建立了溶解通道演化的简单电阻网络模型，并研究了其性质。将结果与使用微观三维数值模型进行的裂缝溶解的孔隙尺度模拟进行比较。尽管它的简单性，电阻器模型被发现保留通道之间的非线性相互作用的基本特征。
During dissolution in porous or fractured rock, a positive feedback between fluid transport and chemical reactions at the mineral surfaces may lead to the formation of pronounced, wormhole‐like channels. As the dissolution proceeds the channels interact, competing for the available flow, and eventually the growth of the shorter ones ceases. Thus the number of channels decreases with time while the characteristic distance between them increases, which leads to a scale‐invariant, power‐law distribution of channel lengths. A simple resistor network model of the evolution of dissolving channels is constructed and its properties studied. The results are compared with pore‐scale simulations of fracture dissolution using a microscopic, three‐dimensional numerical model. Despite its simplicity, the resistor model is found to retain the essential features of the nonlinear interaction between the channels.