Open AccessAn inversion model applied to DC soundings interpretation
Author(s) -
C. Del Giudice
Publication year - 2010
Publication title -
annals of geophysics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 60
eISSN - 2037-416X
pISSN - 1593-5213
DOI - 10.4401/ag-4676
Subject(s) - inversion (geology) , iterative method , geology , field (mathematics) , algorithm , interpretation (philosophy) , computer science , mathematics , seismology , pure mathematics , tectonics , programming language
The inversion technique is used in DC soundings intepretation to determine the
thicknesses and the true resistivities of the layers, starting from the field apparent
resistivities.
The relationship between the predicted apparent resistivities and the earth
parameters is not linear. Starting from this relationship a methodology is described
to obtain a wellposed system of M linear equations. This system permits to
calculate, by means of an iterative procedure, the earth parameters that minimize
the differencies (error) between the field and the predicted apparent resistivities.
Three different iterative procedures are described. Practical examples have
shown that all the iterative procedures are reliable and give comparable results in
terms of minimum error reached and CPU time
thicknesses and the true resistivities of the layers, starting from the field apparent
resistivities.
The relationship between the predicted apparent resistivities and the earth
parameters is not linear. Starting from this relationship a methodology is described
to obtain a wellposed system of M linear equations. This system permits to
calculate, by means of an iterative procedure, the earth parameters that minimize
the differencies (error) between the field and the predicted apparent resistivities.
Three different iterative procedures are described. Practical examples have
shown that all the iterative procedures are reliable and give comparable results in
terms of minimum error reached and CPU time