GEOINFORMATIONAL DISPLAYING OF HORIZONTAL DEFORMATION OF THE EARTH'S SURFACE OF ROCK BLOCKS

Abstract

The paper describes methodology of geoinformation
model mapping of horizontal deformation of a localized
section of the earth's surface of two adjacent blocks of a
mountain range containing a developed or preserved
mineral deposit. It explains the deformation model analytically by mathematical relations. The model results
from the data of movements of the earth's surface markers recorded by GPS navigation, based on the ideas
about blocks marked on the spatial restrictions of their
horizontal dimensions and elastic properties in the hierarchical mosaic structure of composing rocks. Identification of model parameters is performed using the methods
of least squares and parabolic vertex approximations
implemented in the specified sequence of iterative calculations using the given optimization formulas. If there is
a rotation of blocks, it is sufficient to identify the coordinates of its conditional centers from the marker vectors,
assuming that there is no translational movement of the
blocks. Iterative calculations are regulated by the standard deviation of model and marker displacements,
which is reduced to an acceptable small limit determined
by the GPS positioning error. The model considers linear
and angular deformations of the area formed on the
earth's surface in the contact zone of moving rock blocks.
The paper shows the relationship between these deformations, depending on the geospatial orientation of the
designated zone. Therefore, the areal deformation, taking into account the transformation of the earth's surface
shapes in different directions, occurs as the sum of linear
and angular deformations. The possibilities of geoinformation detection by the model of horizontal deformation
zones of different values and signs are shown on a practical example of recorded multidirectional movements of
markers in GPS monitoring and calculation of the corresponding model parameters.