Abstract
(1) This article is devoted to the development of a theoretical and algorithmic basis for numerical modeling of the spontaneous potential method (SP) as applied to the study of sandy-argillaceous reservoirs. (2) In terms of coupled flows, we consider a physical–mathematical model of SP signals from an electrochemical source, with regards to the case of fluid-saturated shaly sandstone. (3) An algorithm for 2D finite-element modeling of SP signals was developed and implemented in software, along with its internal and external testing with analytical solutions. The numerical SP modeling was carried out, determining the dependences on the reservoir thickness and porosity, the amount of argillaceous material and the type of minerals. We performed a comparative analysis of the simulated and field SP data, using the results of laboratory core examinations taken from wells in a number of fields in the Latitudinal Ob Region of Western Siberia. (4) The results of the study may be used either for the development of the existing SP techniques, by providing them with a consistent computational model, or for the design of new experimental approaches.
Highlights
Academic Editors: VladimirOver the last decade, there has been a significant technological development of logging equipment for geophysical surveys in oil and gas wells
Among a large number of geophysical methods implemented in modern equipment, one of the most demanded in the study of geological sections and widely used in all drilled wells is the method of spontaneous polarization potentials (SP)
We proposed a new computational algorithm for modeling SP logging data in the axial symmetry approximation based on the finite element method
Summary
There has been a significant technological development of logging equipment for geophysical surveys in oil and gas wells. Mud filtrate and of the adjacent formations (and, analogously, the ratio of the resistivities of the drilling mud filtrate and formation water) This closed-circuit approach does not fully reflect the physical and chemical processes leading to SP formation [17,18]. Apply numerical methods to solve differential equations describing the formation of SP signals [20,21,22] In this connection, one of the most important tasks today is the application of modern methods of computational mathematics and the development of efficient computational algorithms and computer programs [23,24] allowing the simulation of spontaneous polarization potentials in a class of realistic models that adequately reflect the experimental conditions [25,26,27,28].
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