The determination of petrophysical properties of oil reservoirs is complicated by the limited volume of investigation of the heterogeneous object under study (about 10−6 of the total volume) and the indirect nature of the information obtained. For each property several ways of determination exist, giving values differing sometimes by 1–2 orders of magnitude. One of the principal causes of such discrepancy is the that the problems of property determination using conventional methods are ill-set.

The issues of solving ill-set problems are investigated in the special mathematical theory, which has a lot of applications in natural science generally and in petroleum science in particular. Many problems of reservoir characterization and simulation are ill-set as well; a priori information and multicriterial approach are used in there solution. These are very complex problems, for example, flow model history matching and seismic interpretation. However, the formal multicriterial approach is not well developed with respect to relatively simple tasks of geology, petrophysics and reservoir engineering, such as permeability determination from well logging data, and others. The purpose of this work is the formalization of comprehensive approach to the solution of such problems.

The problem of determining the well permeability profiles from well logging data using statistical relationships based upon core analysis data with a priori information incorporation is investigated in detail. The additional criteria options and ways of their application are considered. The setting and solution of a two-criterial problem of determining permeability from well logging data, care analysis data and well test data on a real West-Siberian filed is provided.

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