利用小波压缩算法实现重力资料曲化平  

Reduction of Gravity Data to a Horizontal Plane by Using Wavelet Compression

作　　者：刘天佑[1] 梁运基[2] 杨宇山[2] 冯杰[2] 

机构地区：[1]湖北省武汉市中国地质大学地球物理勘探教研室,武汉430074 [2]中国地质大学

出　　处：《石油地球物理勘探》2006年第4期458-461,475,共5页Oil Geophysical Prospecting

基　　金：国家自然科学基金资助(40374041):大型积分方程的降阶解法及重力资料曲化平方法研究

摘　　要：等效偶层法被认为是目前在理论上最完善的曲化平方法,但是该法无法处理大数据量的实际资料。其主要困难在于难以求解一个大型、高阶的积分方程。本文采用小波压缩算法实现了大型弗雷德霍姆积分方程的压缩与降阶求解。理论模型计算结果表明,当压缩比为40.5%时曲化平可以达到很高的精度。文中还讨论了不同压缩比对曲化平结果的影响,并通过我国川东北油气田的重力资料曲化平结果说明了该方法的应用效果。Equivalent dipole layer method is currently considered as most complete reduction of gravity data to a horizontal plane theoretically, but the method cannot process the practical data with a giant amount of data. The main reason lies on difficulty to deal with a large-scale and high-order integral equation. The paper uses wavelet compression algorithm to realize the compression and order-reducing solution of large-scale Fredholm integral equation. The theoretical model computation showed the reduction of gravity data to a horizontal plane can reach a very high precision when the compression ratio is 40.5%. The paper also discussed the influence of different compression ratio on the reduction of gravity data to a horizontal plane and illustrates the application effect of the method by the result of the reduction of gravity data to a horizontal plane in Y oilfield of southern China.

关 键 词：重力 曲化平 弗雷德霍姆积分方程 小波压缩算法 油气勘探 

分 类 号：TP277[自动化与计算机技术—检测技术与自动化装置] P183.2[自动化与计算机技术—控制科学与工程]