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《Acta Petrolei Sinica》 2010-01
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Formation drillability evaluation using fractal theory

ZHANG Xu1 ZHAI Yinghu1 LI Zuguang1 YANG Minghe2(1.Key Laboratory of Petroleum Engineering of the Ministry of Education,China University of Petroleum,Beijing 102249,China;2.Institute of Petroleum Engineering,Yangtze University,Jingzhou 434023,China)  
The prediction of rock drillability is important for drilling and exploring engineer.In order to improve the accuracy of formation drillability,a new method for simulating the distribution of drillability field was discussed according to fractal theory,and the new method has been applied in the volcanic rock formation in Xujiaweizi.In general,the formation drillability is calculated based on well acoustic logging after the well completion.Using the well acoustic logging date and indoor experiments of drillability,a mathematic model for describing the relationship between the well acoustic logging and the formation drillability was established by regression analysis.Because the well acoustic logging had a fractal character with long range correlations by R/S analysis,a method of fractal interpolation was proposed to construct the distribution field of well acoustic logging.Random mid-point fractal interpolation method is one of the most popular methods.This method assumes that wells stand at the edge-corner point of the square.However,this situation always does not exist,so a weighted function with random mid-point fractal interpolation method has been put forward.Combining techniques of continental strata correlation and depth-normalization,the improved fractal interpolation method gets an accurate distribution field of well acoustic logging and drillability.The practice shows that fractal theory can successful reflect the macroscopic trend and microscopic heterogeneity of rock formation.Compared with the results of traditional methods,it can offer more reasonable explanation to the change of rock formation and higher prediction accuracy and excellent generalization
【Fund】: 国家科技重大专项“大型油气田及煤层气开发”(2008ZX05026)部分成果
【CateGory Index】: TE21
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