A new stochastic model for fracture transmissivity assessment | Zendy

Kozubowski Tomasz J. | Zendy; Meerschaert Mark M. | Zendy; Gustafson Gunnar | Zendy

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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.

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