The intersections between three-dimensional fracture networks consisting of constant- and variable-size disks with a gallery were systematically analyzed. Exact and approximate analytical formulae were derived for the numbers of partial or full intersections. These predictions were verified by Monte Carlo simulations. Trace length distributions were studied by numerical techniques for various disk distributions. These simulations showed that differences between various disk distributions are very small when trace length distributions with the same average and standard deviations are compared.
Math. Geol.ISI Document Delivery No.: 063ECTimes Cited: 0Cited Reference Count: 16Cited References:ADLER PM, 1999, FRACTURES FRACTURESBERKOWITZ B, 1998, J GEOPHYS RES-SOL EA, V103, P15339GOKHALE AM, 1996, ACTA MATER, V44, P475HARRIS JW, 1998, HDB MATH COMPUTATIONHUSEBY O, 1997, J PHYS A-MATH GEN, V30, P1415LAPOINTE PR, 1993, INT J ROCK MECH MIN, V30, P1611MAULDON M, 1995, INT J ROCK MECH MIN, V32, P575MAULDON M, 1997, ROCK MECH ROCK ENG, V30, P129PEACOCK DCP, 2003, J STRUCT GEOL, V25, P109PIGGOTT AR, 1997, J GEOPHYS RES-SOL EA, V102, P18121PRESS WH, 1996, NUMERICAL RECIPES FOSISAVATH S, 2004, GEOPHYS J INT, V157, P917SPIEGEL MR, 1968, SCHAUMS OUTLINE SERITHOVERT JF, 2005, GEOPHYS RES LETT, V31WARBURTON PM, 1980, INT J ROCK MECH MIN, V17, P181WARBURTON PM, 1980, INT J ROCK MECH MIN, V17, P305