Advances in Civil Engineering / 2018 / Article / Tab 2

Research Article

Demarcation of Structural Domains in Fractured Rock Masses Using a Three-Parameter Simultaneous Analysis Method

Table 2

Example showing how two populations are ranked.

Patch numberPopulation XPopulation YPopulation ZRanking row vectors (fractures) in ascending order of trace lengthTracking sourcesNumber of runs

1m1n1m1+ n1z1,z2, …,z(m1+n1)T1,T2, … , T(m+n)U
2m2n2m2+ n2z(m1+n1+1),z(m1+n1+2), … ,z(m1+n1+m2+n2)
3m3n3m3 + n3z(m1+n1+m2+n2+1),z(m1+n1+m2+n2+2), …,z(m1+n1+m2+n2+m3+n3)
102M102n102m102 + n102z(m1+n1+m2+n2+ … +m101+n101+1),z(m1+n1+m2+n2+ … +m101+n101+2), … ,z(m+n)

ms, ns, ms + ns, (1 ≤ s ≤ 102) are the number of fractures in the sth patch of populations X, Y, and Z. zk (1 ≤ km + n) is a fracture (row vector) in patches of sample Z. Tk (1 ≤ km + n) is used to track the source of zk, if zk is from X, Tk = 1; if zk is from Y, Tk = 0.

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