Investigations on the Downward Continuation of Aerial Gravity Data,
Abstract
The subject of the report is downward continuation of gravity from flying altitudes to a reference surface. This is done by a numerical inversion of the upward continuation integral, which leads to the inversion of an ill-conditioned matrix. The first part considers computational and numerical problems such as the discretization of the upward continuation integral, the improvement of convergence of the iterative inversion by using the knowledge of the spectrum to obtain convergence factors, and the improvement of the conditioning of the matrix. In the second part, downward continuation of gravity is discussed theoretically as an improperly posed problem using Tykhonov's regularization, and various solutions proposed in the literature are compared. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1973
- Accession Number
- AD0772709
Entities
People
- Klaus-peter Schwarz
Organizations
- Ohio State University