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HORIZONTALLY STRATIFIED MEDIUM AS A REFERENCE LARGE SCALE SYSTEM *
Author(s) -
SZARANIEC E.
Publication year - 1977
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.1365-2478.1977.tb01170.x
Subject(s) - geophysics , scale (ratio) , geology , anisotropy , layering , decomposition , equivalence (formal languages) , physical system , mathematics , physics , pure mathematics , ecology , botany , quantum mechanics , biology
A bstract The geophysical system of horizontal layers may be considered as a large scale system. A large class of systems is identified which are equivalent to the geophysical processes in horizontal layering. The property of hierarchical aggregation of layers forms a convenient framework within which the peculiarities of such systems can be studied. Geophysical processes in multilayered media may serve as a reference physical model for a specified class of large scale systems, in order to take advantage and to apply geophysical methods of data processing, system analysis, and parameter identification. Specified large scale systems are decomposable, like geophysical systems, by use of recursive schemes. A category particulary susceptible to such a decomposition is any polynomial which is stable inside the unit circle. Sophisticated geophysical concepts, such as anisotropy, equivalence, and disappearance, can be used to approximate or to simplify the system by vanishing or adjusting the decomposition coefficients.