延拓算子的应用

Applications of a Continuation Operator

勘萨斯大学

本文引用近年来国际上有关位场资料分析的一些最新成果,讨论频率域中延拓算子e~-|K|~Z在界面的正反演和异常划分中的应出。界面正演问题的算子同向上延拓算子有关,而界面反演问题的算子是向下延拓算子的泛函。在一定条件下,异常划分算子就是向上延拓算子。同向下延拓在一定的频率范围内有解一样,反演问题也只能在一定的频率范围内有解。另外,本文给出了界面反演算子的十分单简的推导过程。

The applications of the continuation operator, EXP (|K|Z), to both the forward and inverse problems of an interface and to anomaly separation are discussed and are based on the latest papers about Potential field data analysis. The forward operator for calculating the anomaly caused by an interface is related to an upward continuation operator , while the inverse operator for calculating the depth of an interface from the anomaly is a function of a downward continuation operator. Under certain conditions, the operator of anomaly separation is simply an upward continuation operator. The downward continuation solution as well as the solution of the inverse problem exists only in a limited frequency range. The simple derivation of the inverse operator is presented,