Premium
CALCULATION OF POTENTIAL FIELDS FOR STOCHASTIC MODELS OF HETEROGENEOUS GEOLOGICAL OBJECTS *
Author(s) -
VAKHROMEYEV G.S.,
DAVYDENKO A.Y.
Publication year - 1987
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1987.tb00819.x
Subject(s) - anomaly (physics) , stochastic modelling , statistical physics , probability distribution , stochastic process , point (geometry) , geophysics , computer science , geology , mathematics , physics , geometry , statistics , condensed matter physics
The solution of the direct problem of magnetic and gravity prospecting for heterogeneous objects is discussed from the view‐point of the probability description of object models and the anomalous effects caused by them. Three stochastic models for the determination of the basic characteristics of non‐stationary geophysical fields above the finite objects are suggested: linear, with a random distribution of the physical properties and fixed source geometry; non‐linear, of a single object with random parameters, and an ensemble of random sources. With the methods suggested for the formalized description of the structure of heterogeneous objects for those models, expressions are derived enabling the calculation of mathematical expectations, dispersions and correlation functions of anomalous effects. Model examples illustrate the application of stochastic modeling for the study of the influence of the character and dimensions of heterogeneities of the internal structure of the disturbing bodies on the probability characteristics of expected anomalous effects. It is shown that the assumption of the random character of the anomalous effect can be used for direct calculation of the optimum Wiener filter enabling the recovery of the shape of anomaly contaminated by random noise, as well as for calculating an observation step that is sufficient for recording the expected anomalous effects with prescribed accuracy.