Fundamental Wave Theory
Geologists and geophysicists share the common goal of exploration. They also both seek to measure and describe the same subsurface section. They may measure different physical properties of that subsurface section, but the section remains the same.
Some of their measurements may be more closely related than others. For instance, the sonic log, which is most often used by geologists, measures the transit time of soundwaves through the subsurface section. The seismic reflection method does essentially the same thing, measuring the cumulative transit time from the surface. Some analytical method of comparing the results of different measuring methods is needed to determine the relationships, so that the information contained in one may be expressed in terms of the other, or in absolute terms of geology. After all, it is geology, not geophysics which determines the source and accumulation of sedimentary beds and produces the conditions which gather and trap the hydrocarbons we seek to discover.
A description of the sedimentary geology in a basin is often based on some model or concept of how that particular section was developed. To the uninformed observer, the sedimentary column may appear to be merely a purely random sequence of different rock types. Indeed, one type of seismic signal deconvolution is based on the assumption that the sedimentary section is a completely random sequence. Rarely is this true. Most sedimentary sections are the result of depositional cycles.
At the other extreme, many geophysicists, although they should know better, tend to model the sedimentary section