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 number	Population X	Population Y	Population Z	Ranking row vectors (fractures) in ascending order of trace length	Tracking sources	Number of runs
1	m1	n1	m1+ n1	z1,z2, …,z(m1+n1)	T1,T2, … , T(m+n)	U
2	m2	n2	m2+ n2	z(m1+n1+1),z(m1+n1+2), … ,z(m1+n1+m2+n2)
3	m3	n3	m3 + n3	z(m1+n1+m2+n2+1),z(m1+n1+m2+n2+2), …,z(m1+n1+m2+n2+m3+n3)
102	M102	n102	m102 + n102	z(m1+n1+m2+n2+ … +m101+n101+1),z(m1+n1+m2+n2+ … +m101+n101+2), … ,z(m+n)

m_s, n_s, m_s + n_s, (1 ≤ s ≤ 102) are the number of fractures in the s_th patch of populations X, Y, and Z. z_k (1 ≤ k ≤ m + n) is a fracture (row vector) in patches of sample Z. T_k (1 ≤ k ≤ m + n) is used to track the source of z_k, if z_k is from X, T_k = 1; if z_k is from Y, T_k = 0.