A Trial Analysis of Geologic Structure between Two Columnar Sections of Drill Holes by Computing the Cross-Correlation Function

Abstract

The mathematical method of cross-correlation function between two columnar sections of drill holes is one of the effective means for analysis of geologic structure. Letting ζ be a phase of the crosscorrelation function, and x be the distance from one drilling station No. i to other No. j, φij (ζ, x) denotes the cross-correlation function, which has more maxima. Continuity of the strata is relative to the maximum values of the function, and ζ co-ordinates which give the maximum values equal to x tan θ, x tan θ±H_f, etc., where θ and H_f show the mean dip angle of the strata and a fault (throw ζ± for a normal fault, -for a. reversed one) respectively. On the other hand, the variation in the function of the variable x is relative to similarity of the strata in the cylindrical co-ordinates.
The mathematical interpertations for drill holes of several mines by computing the cross-correlation function coincide well with the actual geologic structures.