科研之友
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摘要
Anomalous transport is found to be ubiquitous in complex geological formations and it has a paramount impact on petroleum engineering and groundwater sciences. This process can be well described by the continuous time randomwalk (CTRW) model, in which the probability density functionw(t) of a particle's transition time t follows a power law for large t : w(t) similar to t (1-alpha) (0 < alpha < 2). In this work, based on the CTRW theory, a semifractional advection-diffusion equation is proposed to model the anomalous transport for 1 < alpha < 2, which is, as evidenced by field and numerical experiments, possibly the typical situation for many complex geological porous media with weakly heterogeneous microstructures.
- 出版日期2013-3-20
- 单位中国石油大学（北京）
