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AN ALGORITHM FOR FAST TIME‐DOMAIN COMPUTATION OF ONE‐DIMENSIONAL SYNTHETIC VERTICAL SEISMIC PROFILES *
Author(s) -
THYBO H.
Publication year - 1986
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.1365-2478.1986.tb00496.x
Subject(s) - stack (abstract data type) , algorithm , computation , recursion (computer science) , matrix (chemical analysis) , iterated function , geology , computer science , domain (mathematical analysis) , time domain , layer (electronics) , computational science , mathematics , mathematical analysis , materials science , composite material , programming language , computer vision
The normal incidence seismic wavefields in a horizontally layered model of the earth have a well‐known matrix description if the earth model has been transformed into a layer stack built up by thin layers, all of equal traveltime. To compute a Synthetic Vertical Seismic Profile (SVSP) the wavefields are iterated through the whole layer stack by means of the matrix description, either expressed in the time domain or in the frequency domain. In conventional methods a single layer is added to a resulting stack of layers at each recursion step. However in the present algorithm, a whole layer stack is added to another layer stack at each recursion step. Improvement in computing time obtained by doing so is approximately linearly dependent on the typical number of layers between receivers. This makes the method very suitable for detailed modeling wherever high resolution of the model is desired.