Mathematical minerals distributing model by means of spline-interlineation functions methods on a irregular located inclined boreholes system

Authors

  • О. О. Литвин Ukrainian Engineering and Pedagogical Academy, Ukraine
  • Н. І. Штепа Ukrainian Engineering and Pedagogical Academy, Ukraine
  • C. І. Кулик National Technical University "Kharkiv Polytechnic Institute", Ukraine
  • О. С. Чорна Ukrainian Engineering and Pedagogical Academy, Ukraine

Abstract

The construction methods of three variables spline-interlineation functions formulae in the inclined boreholes system, placed both in the same plane and in an arbitrary way. The properties of the constructed mathematical models, as well as the prospects of their use for the exploration of mineral resources are explored. Describtion a method for constructing operators of three variables functions interlineation, which generalizes a well-known Zlamal method - functions of two variables approximation by the piecewise-polynomial (in particular, the piecewise-quadratic) functions on partitioning triangles.

Author Biographies

О. О. Литвин, Ukrainian Engineering and Pedagogical Academy

Candidate of Physical and Mathematical Sciences

Н. І. Штепа, Ukrainian Engineering and Pedagogical Academy

Candidate of Physical and Mathematical Sciences

C. І. Кулик, National Technical University "Kharkiv Polytechnic Institute"

Candidate of Physical and Mathematical Sciences

Published

2015-08-07

Issue

Section

Applied mathematics