Mathematics – Logic
Scientific paper
Apr 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3407408d&link_type=abstract
Geophysical Research Letters, Volume 34, Issue 7, CiteID L07408
Mathematics
Logic
5
Hydrology: Groundwater Hydrology, Hydrology: Groundwater Transport, Hydrology: Hydrologic Scaling, Physical Properties Of Rocks: Transport Properties
Scientific paper
The scale dependence of the matrix diffusion coefficient (D m ) for fractured media has been observed at variable scales from column experiments to field tracer tests. In this paper, we derive an effective D m for multimodal heterogeneous fractured rocks using characteristic distributions of matrix properties and volume averaging of the mass transfer coefficient. The effective field-scale D m is dependent on the statistics (geometric mean, variance, and integral scale) of laboratory-scale ln(D m ) and on the domain size. The effective D m increases with the integral scales and is larger than the geometric mean of ln(D m ). Monte Carlo simulations with 1000 realizations of heterogeneous D m fields were conducted to assess the accuracy of the derived effective D m .
Dai Zhenxue
Lu Zhiming
Reimus Paul
Wolfsberg Andrew
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