"A Simplified Method for Deducing Subterranean Mass Distribution by the use of the Response for Unit Gravity"(Part II)

概要

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6) As is usually the case, the distribution of gravity values given at equidistant grid points on the earth's surface can not be regarded periodic with respect to the horizontal co-ordinate. A method for practical computations to be applied to these cases will begiven, with the hope to get rid of the awkwardness of the Fourier series method which implies the said periodic distribution. According to the formula stated in § 5, the underground mass distribution p(×) is given by Here φ(×) is the response function and is represented by The values of φ(×) at grid points are in the Tables I and II. By use of the tables, the values of p(×) at the grid points of the subterranean plane are given by the following formula; As an example, this method is applied to study the subterranean mass distribution corresponding to Bouguer anomalies given along the profile No. 17 in the East Indies. 7) If "Low-pass; high-cut" operation is to be carried out, the values of p(×)* at the grid points on the subterranean plane distributed at equidistant intervals of λ/2 are given by the following formula. The values of φλ/λ* are also given in the Table I and II. 8) The vertical gradient of gravity (ag/az) or the deflection of the vertical (θ×) can begiven in the similar way as where The method is applied to calculate the anomalies in aglaz corresponding to the Bouguer anomales observed in Kyoto district .
日本測地学会の論文