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A new stochastic model for fracture transmissivity assessment
Author(s) -
Kozubowski Tomasz J.,
Meerschaert Mark M.,
Gustafson Gunnar
Publication year - 2008
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2007wr006053
Subject(s) - borehole , fracture (geology) , exponential function , mathematics , power law , statistics , geology , mathematical analysis , geotechnical engineering
A new stochastic model is proposed for fracture counts and transmissivities in a borehole interval. This new model incorporates several empirical observations, including: (i) Clustering of fractures; (ii) Exponential fracture spacings; (iii) Transmissivities extending over several orders of magnitude; (iv) Power law probability tail for transmissivities at finer scales; (v) Log‐normal transmissivities at larger scales; and (vi) Dependence between fracture counts and transmissivities. Several example applications are provided using borehole data from Sweden.