The paper studies the apparatus of mathematical statistics for predicting the technological efficiency of hydrochloric acid treatments. The apparatus of mathematical statistics is quite widely used to process the results of measurements of field data, for example, during the assessment of the effectiveness of various methods of oil recovery increase.
As a result, we developed a method to predict the efficiency of the HAT for injection wells using power-law regression equations. With an accuracy satisfactory for field purposes (even in the presence of a sparsely representative sample of actual data), which ensures the prediction of the technological efficiency of production wells in terms of the amount of additional oil production and the value of its duration after the HAT on the adjacent injection wells, it was proposed to use regression equations of the second degree.
The article presents the study results of the influence of the orientation of a vertical crack from hydraulic fracturing treatment on the efficiency of oil reserve recovery, indicating the crack propagation direction. It was found that the increase in initial recoverable reserves is the greater, the longer the crack length is, and if the crack is oriented parallel and perpendicular to the filtration flow down to the permeable zone in the stagnant or deadlock zone, then the perpendicular connecting current lines from the injection well to the recovery well is most effective. The presented results show that HFT significantly changes the conditions for the oil reserve recovery in general in the reservoir area. Therefore, it is relevant to assess the contribution of a single HFT to the oil recovery factor of the reservoir area, as well as its effect on the wells density grid.
Using correlation analysis, the authors assess the impact of geological and physical, geological and technological properties on the technological effect in the development of fields using hydraulic fracturing. The dependence of technological effect of hydraulic fracturing from the quality of casing string annulus fixing is also considered. The analysis of technological efficiency of regular technology of hydraulic fracturing in conditions of JSC TATNEFT showed its insufficient level due to the lack of methods which take into account the impact of geological and physical, geological and technological factors. The study of correlation relationship between field results of hydraulic fracturing and reservoir properties established quantitative geological field criteria for its effective use, which allowed to make a more informed choice of objects of impact.
The article discusses the apparatus of mathematical statistics for predicting the technological effectiveness of hydraulic fracturing. The authors made an attempt to improve the methods for processing experimental data in the conditions of a small sampling. The main method used for solving this problem was the second-order regression equation in the form of a polynomial. The comparison of calculated and actual data on technological results for hydraulic fracturing based on the solution of second-order polynomial regression equations for different fields showed a high level of convergence, which allows us to conclude that the proposed methodology for constructing a regression equation in the form of a power polynomial is acceptable.
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