Modeling of Geological Objects and Geophysical Fields Using Haar Wavelets

Abstract

This article is a presentation of application of the fast wavelet transform with basic Haar functions for modeling the structural surfaces and geophysical fields, characterized by fractal features. The multiscale representation of experimental data allows reducing significantly a cost of the processing of large volume data and improving the interpretation quality. This paper presents the algorithms for sectionally prismatic approximation of geological objects, for preliminary estimation of the number of equivalent sources for the analytical approximation of fields, and for determination of the rock magnetization in the upper part of the geological section.

Keywords

• фрактал
• множество
• базисная функция
• вейвлет Хаара
• аппроксимация
• поле
• аномалия
• геологический объект