Open AccessA Representation Theorem in the Dynamic Theory of Porous Media
Author(s) -
Boschi E.,
Mainardi F.
Publication year - 1973
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1973.tb02398.x
Subject(s) - representation (politics) , reciprocity (cultural anthropology) , convolution (computer science) , representation theorem , porous medium , field theory (psychology) , expression (computer science) , mathematical analysis , space (punctuation) , field (mathematics) , mathematics , pure mathematics , computer science , porosity , geology , mathematical physics , geotechnical engineering , politics , political science , psychology , social psychology , machine learning , artificial neural network , programming language , operating system , law
Summary This paper is concerned with a reciprocity theorem in the dynamic theory of porous media, obtained by a systematic use of the convolution integral, in the space of the original field functions. From it, we get a representation of Knopoff‐De Hoop type which enables us to deduce an explicit expression for body forces which produce radiation identical to that produced by a dislocation.