Percolation and dispersion of mass transport in saturated fracture networks

Bih Shan Lin, Cheng Haw Lee

研究成果: Article同行評審

6 引文 斯高帕斯(Scopus)

摘要

Dispersion and transport of mass in a fracture network is a percolation process. Macroscale dispersion is related to travel time, distance, mass distribution and fracture geometry. This article presents a stochastic, discrete fracture model in conjunction with percolation theory to investigate the dispersion phenomenon and the power law relationship between mean square travel paths displacement <r2> and particle travel time t. For imposed boundary conditions, particle dispersion is simulated to observe percolation thresholds and dispersion trends in different network structures. Simulation results demonstrate that the critical exponent values of t in the percolated networks are extremely close to the theoretical value of 1.27 and occur at certain percolation factors. Below these percolation factors, the exponents of t increase with decreasing percolation factors, above these percolation factors, exponents decrease with increasing percolation factors. In our simulated cases, the proportionality between <r2> and time t is given by t raised to a power between 1.27 and 1.66, depending on the fracture pattern. The coefficient of anisotropic dispersion tensor increases with increasing distance. The percolation process is related to travel time and distance, and cannot be interpreted as a Fickian diffusive process.

原文English
頁(從 - 到)409-432
頁數24
期刊Water Resources Management
12
發行號6
DOIs
出版狀態Published - 1998 十二月

All Science Journal Classification (ASJC) codes

  • 土木與結構工程
  • 水科學與技術

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