Interpolation between engineering-geological wells with consideration of the genetic type of the element

Grounds and foundations, underground structures
Authors:
Abstract:

The object of research is the internal boundaries of engineering-geological elements (EGE). This work aims to develop a procedure for interpolation of engineering-geological survey results between wells. Methods. The procedure for interpolation of engineering-geological survey results for designing internal boundaries of engineering-geological elements, based on the application of the modified Laplace equation, namely the approximate solution using a discrete problem for a plane coordinate system. Results. The procedure of interpolation of engineering-geological survey results between wells was developed. The mathematical dependence is obtained from the equation of Laplace for a discrete task in a plane coordinate system with the introduction of additional coefficients that allow to consider the character of change of internal boundaries. The best result was achieved at calculation taking into account the coefficient influencing the distance of points from the calculated point, weight coefficient of intermediate points and setting the number of distant points. It was found that the best result was achieved by increasing the number of calculation iterations. Conclusion. The combination of specified parameters (number of neighboring points, weight coefficient of intermediate points and the coefficient influencing the distance of points from the calculated point) allows to obtain profiles of internal boundaries of engineering-geological elements of different genesis and lithography. The developed procedure of interpolation can be applied for construction of engineering-geological sections, engineering-geological models and geotechnical models.