分形理论在高精度重力油气检测中的应用

The application of fractal theory to hydrocarbon detection by high-precision gravimeter survey

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 the irregular phenomenon in the nature.The theoretical basis for hydrocarbon detection using high-precision gravity is to identify and extract the weak gravity anomaly superimposed in background field wihich may be related to oil and gas. In the paper, we attempt to describe this kind of weak gravity anomaly by use of the associative dimension for fractal sets, and seek the feasbility and effectivity of the fractal theory used in the detection. The paper introduces the calculation method of the associative dimension for high-precision gravity field. The trial computation results of models and real data are also given. The results show that the attempt is success ful on the whole.