PEXEL algorithm for automated history matching of relative phase permeabilities

UDK: 622.276.031.01.43
DOI: 10.24887/0028-2448-2024-4-60-63
Key words: simulation model, history matching, auto history matching, automated history matching, relative permeability, SCAL (special core analysis), Corey
Authors: A.N. Ivanov (Vietsovpetro JV, the Socialist Republic of Vietnam, Vung Tau), A.R. Aubakirov (Vietsovpetro JV, the Socialist Republic of Vietnam, Vung Tau), F.S. Khismatullina (Gubkin University, RF, Moscow)

One of the most important conditions for successful planning of field development is the reliable hydrodynamic model, which allows building an appropriate forecast, evaluation of the effectiveness of various development scenarios, prospective oil recovery and other necessary indicators for the field. In the case of a field already in active development, it seems obvious that the better the existing model represents the real reservoir and the better it simulates the actual development history, the more reliable the forecast will be and the more appropriate the selected development scenario. One of the tools designed to provide automatic matching of the simultaion model to the development history is the PEXEL software, where a number of algorithms are implemented to adjust well parameters to actual data (oil, gas, water production, bottomhole and reservoir pressures): modifications to the permeability array, volume of the aquifer, vertical scaling and justification of the shape of relative permeabilities curves. Algorithms of automated adaptation PEXEL were formed and improved in the course of long-term practice of creation and matching of simulation models. Approbation was carried out on sector and full-size simulation models. Application of PEXEL allows replacing manual editing with high accuracy and efficiency, at the same time doing it in a methodologically solid manner, which is confirmed by numerous runs and their analyses. In addition, such analysis tools as integral plots of production indicators, well-by-well comparison of results, cross-plots, 2D visualization are implemented. One of them is an algorithm for automated matching of well history by modifying the shape of relative phase permeability curves. The essence of this tuning method is as follows: iteratively, for each saturation region, the production is analyzed and multipliers to the degree of Corey curvature (NOW and NW) are calculated. In order to develop the shape of relative phase permeability curves matching algorithm, more than 14000 variants of synthetic models with different combinations of NOW (from 1,2 to 5,6), NW (from 1,2 to 5,6) and ratios of absolute permeability values of the layers (from 1/1 to 100/1) were generated and calculated. As a consequence of analyses of the results of simulations on synthetic models, the tendencies were revealed, which are observed for all considered ratios of absolute permeability values of layers.

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