利用分形理论评价地层可钻性

doi:10.7623/syxb201001023

石油学报 ›› 2010, Vol. 31 ›› Issue (1): 124-128.DOI: 10.7623/syxb201001023

利用分形理论评价地层可钻性

张旭 1 翟应虎 1 李祖光 1 杨明合 2

1中国石油大学石油工程教育部重点实验室北京 102249； 2长江大学石油工程学院湖北荆州 434023

收稿日期:2009-03-10 修回日期:2009-06-20 出版日期:2010-01-25 发布日期:2010-05-21
通讯作者: 张旭

Formation drillability evaluation using fractal theory

ZHANG Xu 1 ZHAI Yinghu 1 LI Zuguang 1 YANG Minghe 2

Received:2009-03-10 Revised:2009-06-20 Online:2010-01-25 Published:2010-05-21
Contact: ZHANG Xu

摘要/Abstract

摘要：

利用分形理论研究了大庆徐家围子地区火山岩地层可钻性的评价方法。根据现场声波测井资料及岩心资料，通过室内实验和回归分析建立了声波测井资料与地层可钻性解释模型，结合变尺度分析法分析了该地区声波测井资料的分形特征及长程相关性。依据传统一维、二维随机中点分形插值理论，提出了加权改进随机中点插值法,并结合地层对比技术及深度归一化方法，构建了声波时差测井参数分布场，根据已建立的可钻性解释模型得到地层可钻性分布场。研究结果表明：声波测井资料与地层可钻性之间具有相关关系，且具有很好的分形特征及长程相关性。分形理论可以定量确定地层可钻性分布场。该方法精度高，推广能力强，预测结果符合实际地层变化规律。

关键词: 地层可钻性, 声波测井资料, 分形理论, 数据插值, 解释模型, 模拟计算

Abstract:

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.

Key words: formation drillability, acoustic well logging data, fractal theory, data interpolation, interpretation model, simulation calculation

张旭翟应虎李祖光杨明合. 利用分形理论评价地层可钻性[J]. 石油学报, 2010, 31(1): 124-128.

ZHANG Xu ZHAI Yinghu LI Zuguang YANG Minghe. Formation drillability evaluation using fractal theory[J]. Editorial office of ACTA PETROLEI SINICA, 2010, 31(1): 124-128.

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利用分形理论评价地层可钻性

Formation drillability evaluation using fractal theory

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