Transformation of Gravity Anomalies in Large Territories (the Case of the Kuril Island Arc)

IF 0.9 4区地球科学 Q4 GEOSCIENCES, MULTIDISCIPLINARY Russian Journal of Pacific Geology Pub Date : 2023-12-01 DOI:10.1134/s1819714023080055

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Abstract

An algorithm and a program for transformation of gravity anomalies for large territories are presented. They use a spherical shape of the Earth and the geodetic coordinates of measuring points. The calculations employ the “quasi-ellipsoidal” model of V.V. Kavraisky, which allows the transition from the geodetic to the spherical coordinate system with increased accuracy. The algorithm is based on a sourcewise approximation of the field values located at the nodes of a regular grid with the latitude-dependent depths of the equivalent sources. To determine the source masses, the system of linear algebraic equations is solved by the steepest descent gradient method with an accelerated calculation of the step. The results of transformation of the gravitational field in the Bouguer reduction for the Kuril Island arc, the adjacent water and land areas located within 40°–54° N, 142°–162° E and having a total area of about 2.4 mln km², are presented. A slight difference between the results of recalculating the gravity anomalies into the upper half-space using the “spherical” and “quasi-ellipsoidal” models of the Earth is experimentally established.

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大片领土重力异常的变化（千岛群岛弧形地带的案例）

摘要介绍了大面积地区重力异常转换的算法和程序。它们使用地球的球面形状和测量点的大地坐标。计算采用 V.V. Kavraisky 的 "准椭球 "模型，该模型允许从大地坐标系过渡到球面坐标系，并提高了精度。该算法以位于规则网格节点处的场值与等效源的纬度深度的源近似值为基础。为了确定源质量，线性代数方程组通过加速计算步长的最陡梯度法求解。本文介绍了位于北纬 40°-54°、东经 142°-162°、总面积约 240 万平方公里的千岛群岛弧形区域及邻近水域和陆地的布格尔还原重力场变换结果。实验证明，使用地球的 "球面 "模型和 "准椭球面 "模型重新计算上半空间重力异常的结果略有不同。

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来源期刊

Russian Journal of Pacific Geology 地学-地球科学综合

CiteScore

1.30

自引率

37.50%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Pacific Geology publishes the results of research on the Earth crust and mantle composition and provides articles on the geological structure and patterns of distribution of mineral deposits in the Pacific Ocean, marginal seas and continental margins. It discusses the topics of stratigraphy, sedimentology, magmatic activity, and seismicity. The journal deals with the problems of lithosphere plates tectonics, and offers the results of neotectonic, geomorphological, geodesic, environmental and mining studies in the Pacific region. The journal accepts theoretical, methodical and philosophical articles covering general issues of geology, geophysics, geochemistry, geoecology and mining. The journal also publishes critical notes and comments, and reviews.