Stochastic Subsurface Flow and Transport in Fractal Conductivity Fields
Abstract
Monte Carlo simulations of subsurface flow and contaminant transport of a non-reactive solute plume by steady-state flow with a uniform velocity were performed in a two-dimensional synthetic heterogeneous porous media whose hydraulic conductivity is non-stationary and described by multiscale fractional Brownian motion. Analysis of the flow and transport results indicates that the longitudinal velocity variance is nearly constant in the longitudinal direction while in the transverse direction it assumes a parabolic shape. The velocity variance is maximum at the impervious boundaries and decreases in transverse direction with distance from the boundaries reaching the minimum value at the domain center. We observe that the particle displacement covariance is anomalous or non-Fickian at all times t in the dispersion process irrespective of the Hurst exponent H and grows temporally faster than linearly.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP010909
Entities
People
- Alberto S. Ndumu
- Paul S. Addison