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Application of simultaneous equations to the identification of rock matrices of Abu Roash C Member, Abu Sennan area, Western Desert, Egypt


, : Application of simultaneous equations to the identification of rock matrices of Abu Roash C Member, Abu Sennan area, Western Desert, Egypt. Bulletin of the National Research Centre 27(2): 269-282

The Present work deals with the subsurface geology and identification of rock constituents of the Turonian sediments (Abu Roash "C" Member) with emphasis on the reservoir characteristics of these sediments. The elements of the subsurface geology were illustrated by constructing isochore map for the stratigraphic unit, structural contour map on the member top and structural cross-sections. Computer assisted interpretation was introduced for the quantitative determination of rock constituents and formation porosities of lithologic intervals from the porosity tools. Sonic, Density, Neutron loges are used together as input data in the application of the simultaneous equation by such a way. These porosity data are digitized and arranged in a matrix form, in which the known constants of the matrix are used. For given log values, p (sub b) , Oe (sub N) , and Delta t, the simultaneous equations are solved in the computer for the four constituents, Oe, V (sub sh) , V (sub sd) , V (sub Is) . A subroutine is used to calculate the inverse of the given matrix, then multiply the output of the subroutine by the log readings to get then unknowns needed. Correcting the results in case of the presence of negative values in the output is achieved by distributing these negative values between the positive ones. The correct values of the lithologic constituents (shale, sandstone and limestone) and their porosities are derived for the analyzed zone in 14 wells. Weighted values of the shale, sandstone, limestone and porosity are computed separately for Abu Roash "C" Member in the studied wells. A number of litho-porosity cross-plots and isoparametric maps have been constructed to show the vertical and horizontal distribution of lithologic components and porosities zone-wise. Also, scatterplots representing binary relationships for some parameters of complex lithology were constructed to show the location of gross lithology.

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