Abstract
For the purposes of oil exploration impulses of seismic waves are generated by a source at the ground surface and the backscattered vibrations are received by an array of geophones laid out also on the ground surface. The signal from each receiver as a function of time is recorded digitally for later processing. Typically a seismic `survey’ consists of many such `source gathers’ for many different positions of the source and receiver array. Treating the earth as an elastic medium the problem is to deduce the elastic parameters of the subsurface material and its density as functions of position from the data recorded at the surface. Mathematically this is an inverse problem in elastic wave scattering. On January 6, 1995 Robert Burridge from Schlumberger-Doll Research described the inverse problem and some steps towards its solution.
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References
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G. Beylkin and R. BurridgeLinearized inverse scattering problems in acoustics and elasticityWave Motion, 12 (1990), 15–22.
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© 1997 Springer Science+Business Media New York
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Friedman, A. (1997). Seismic inversion for geophysical prospecting. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and its Applications, vol 83. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1858-6_7
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DOI: https://doi.org/10.1007/978-1-4612-1858-6_7
Publisher Name: Springer, New York, NY
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