Computer Processing of Geological Section (2)

in case that dip angle is interpolated by weighted mean

Abstract

Reconstraction of folding structures in geological section is mathematically identical to solving differential equation: sin θ dx + cos θ dy =0, where θ is the dip angle. If we can interpolate either scalar values or vectors (sin θ, cos θ) at any points (x, y) from observed dip angles, we can solve the differential equation numerically to reconstract folding structures. In this paper, we discussed the computerized method to draw folding structures by interpolating vectors (sin θ, cos θ ) from weighted means of the observed ones, and presented its BASIC program. This method is suitable for computer processing of the folding structure in the area where we can obtain dip angles at a lot of places scattering at random vertically as well as horizontally.