Deconvolution of Geophysical Time Series in the Exploration for Oil and Natural Gas

In the exploration for oil and natural gas, the geophysicist is confronted
with the problem of estimating the structural features of the subsurface to
depths of up to 6000 m with an accuracy of a few tens of meters. These estimates
must be made over geographic areas covering many hundreds of square
miles. The geophysical methods make use of indirect means because all
inputs and outputs must be made at or near the surface of the earth. The
most successful method is the reflection seismic method. This method was
greatly enhanced by the introduction of digital deconvolution in the early
1960’s. There has been much practical use of deconvolution in the intervening
years as well as a great deal of theoretical work. However, there has never
been a unified treatment of the entire subject which actually makes use of
the physical properties to simplify and make amenable the mathematical
justification.
This book is motivated by the need for a comprehensive treatment of
deconvolution which brings out the essential mathematical properties from
the physically observed facts. From principles given in this book, the
methods of deconvolution can be viewed in a unified way.
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