Open AccessSTATISTICAL METHOD IN GEOPHYSICS PROSPECTING
Author(s) -
Matthias Matschinski
Publication year - 2012
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-5597
Subject(s) - distortion (music) , tensor (intrinsic definition) , limit (mathematics) , crust , geology , shear (geology) , degree (music) , shear stress , geophysics , physics , geometry , mathematical analysis , mechanics , mathematics , petrology , amplifier , optoelectronics , cmos , acoustics
Let us consider (see figure 1) a very deep horizontal layer of
the earth's crust. The lower line signifies a limit more or less defined.
The simplest possibility which can he supposed is tliat on this limit
the shear components of the stress-tensor (the componente which produce
the angular distortion of an element of the body) are very small
here or even disappear. This can take place either if in the neighbourhood
of the limit the temperature approaches a degree where
the distortion effects disappear and only the pressure components of
the stress-tensor exist, or if the nearest lower consists of a loose body.
But these two examples do not exhaust ali possi bilities. In the first
approximation the limit surface of every two layers lias the supposed
property. Finally, if we wish to reach a higher degree of approximation,
we can always introduce some more complex boundary condition
the earth's crust. The lower line signifies a limit more or less defined.
The simplest possibility which can he supposed is tliat on this limit
the shear components of the stress-tensor (the componente which produce
the angular distortion of an element of the body) are very small
here or even disappear. This can take place either if in the neighbourhood
of the limit the temperature approaches a degree where
the distortion effects disappear and only the pressure components of
the stress-tensor exist, or if the nearest lower consists of a loose body.
But these two examples do not exhaust ali possi bilities. In the first
approximation the limit surface of every two layers lias the supposed
property. Finally, if we wish to reach a higher degree of approximation,
we can always introduce some more complex boundary condition