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分形理论是描述和研究自然界中不规则现象的重要手段。高精度重力油气检测的理论基础，是识别与提取叠加在多种背景之上的有可能与油气相关的重力弱异常。本文试图应用分形集中的关联维去描述这类重力弱异常，探索分形理论在高精度重力油气检测中应用的可行性和有效性。文章介绍了高精度重力场关联维的计算方法，并给出了模型与实际资料的试算结果。模型试验和实际资料的试算结果表明，这次尝试是基本成功的。
Fractal theory is an important means to describe and study irregular phenomena in nature. The theoretical basis of high-precision gravity oil-gas detection is to identify and extract the gravity-weak anomalies possibly superimposed on various backgrounds. In this paper, we attempt to describe the weak gravity anomaly by using the fractal-centered correlation dimension and explore the feasibility and effectiveness of the fractal theory in high-precision gravity oil and gas detection. This paper introduces the calculation method of the correlation dimension of high-precision gravity field, and gives the trial results of the model and the actual data. The trial results of the model test and the actual data show that this attempt was basically successful.