By John H. Doveton
The pioneering paintings of Gus Archie moved log interpretation into log research with the advent of the equation that bears his identify. next advancements have combined empiricism, physics, mathematical algorithms, and geological or engineering types as tools utilized to petrophysical measurements in boreholes around the world. ideas of Mathematical Petrophysics experiences the applying of arithmetic to petrophysics in a layout that crystallizes the topic as a subdiscipline acceptable for the workstations of this day. the subject material is of extensive curiosity to either educational and business pros who paintings with subsurface information utilized to power, hydrology, and environmental issues.
This publication is the 1st of its style, in that it addresses mathematical petrophysics as a special self-discipline. different books in petrophysics are both huge descriptions of instrument layout or interpretation innovations, mostly in an advert hoc remedy. It covers mathematical equipment which are utilized to borehole and middle petrophysical measurements to estimate rock homes of fluid saturation, pore varieties, permeability, mineralogy, facies, and reservoir characterization. those tools are proven by means of quite a few case stories and summaries of purposes. ideas of Mathematical Petrophysics is a useful source for every person operating with facts regarding petrophysics.
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Extra info for Principles of Mathematical Petrophysics (International Association for Mathematical Geosciences)
16] Principles of Mathematical Petrophysics conductivity would be added to the conductivity caused by the ions in the pore space. As the salinity was increased further, there would come a point at which cation exchange was operating at full capacity, and beyond which no additional clay conduction efects would be added. he conductivity behavior of the water-saturated rock over a range of formation salinities would show a nonlinear increase at low-brine conductivities that would converge on a linear trend at higher conductivity and approximately parallel to the equivalent clean-sandstone line.
Here is insuicient information to solve for both fractures and vugs using these equations. However, if the apparent m of the carbonate is clearly higher than two, then unconnected or poorly connected “vugs” (either molds or vugs) are suggested. In this case, the vug equation can be used to solve for vuggy porosity. If the apparent m value is markedly less than two, then fracture porosity may be suspected. 13. he equations can be applied either to core measurements or downhole log evaluations of sections that are completely water-saturated, as demonstrated in the following examples.
Large reservoirs with heterogeneous pore distributions may show distinctive changes in Archie exponents with height, but the efects can be evaluated from core analysis of capillary pressure and resistivity. hese issues will apply to both clastic and carbonate reservoirs, but may prove to be of relatively minor concern if wettability is a factor, as discussed in the next section. WETTABILITY EFFECTS ON THE SATURATION EXPONENT Wettability was not generally thought to be a significant issue when Archie’s pioneering paper was published in 1942.