A review of some useful algorithms in geophysics

"Geophysical data are often presented on maps, sections or profiles with minimal data processing. A common example is magnetic data, in which the diurnal-free raw readings are merely contoured on a map. Other examples include profile presentation of VLF-EM data, IP pseudo-sections and airborne EM anomalies which may be shown on a map with only the measured amplitudes indicated.In recent years, efforts have been directed to the portraying of data in more useful forms. A number of algorithms (i.e., manipulative procedures and equations) have proven to contribute significantly to the usefulness of geophysical data. Some can be applied manually; others are sufficiently complicated to require a computer. Some merely alter the data to a more useful geometric form without altering the units. Others yield quantitative estimates of source body parameters such as conductivity and shape. Several examples follow:1. A simple algorithm is in common use which transforms noisy non-contourable VLF-EM data into less noisy contourable data. The input is the dip angle in degrees or per cent and the output is also in these same units.2. A simple algorithm has recently been developed which allows multi-level dipole-dipole IP data to be contoured on a map. Again, the units are not altered.3. A relatively complicated algorithm is in common use which transforms non-contourable height-sensitive helicopter EM data into contourable resistivity data,4. An algorithm has been recently developed which transforms non-contourable height-sensitive EM data into contourable weight per cent magnetite.The purpose of all the above techniques is to present the data in a simplified form. This, in turn, allows an easier assimilation by the user of much of the information content of the data."