High-Efficiency Forward Modeling of Gravitational Fields in Spherical Harmonic Domain with Application to Lunar Topography Correction

IF 4.2 2区 地球科学 Q2 ENVIRONMENTAL SCIENCES
Remote Sensing Pub Date : 2024-09-14 DOI:10.3390/rs16183414
Guangdong Zhao, Shengxian Liang
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引用次数: 0

Abstract

Gravity forward modeling as a basic tool has been widely used for topography correction and 3D density inversion. The source region is usually discretized into tesseroids (i.e., spherical prisms) to consider the influence of the curvature of planets in global or large-scale problems. Traditional gravity forward modeling methods in spherical coordinates, including the Taylor expansion and Gaussian–Legendre quadrature, are all based on spatial domains, which mostly have low computational efficiency. This study proposes a high-efficiency forward modeling method of gravitational fields in the spherical harmonic domain, in which the gravity anomalies and gradient tensors can be expressed as spherical harmonic synthesis forms of spherical harmonic coefficients of 3D density distribution. A homogeneous spherical shell model is used to test its effectiveness compared with traditional spatial domain methods. It demonstrates that the computational efficiency of the proposed spherical harmonic domain method is improved by four orders of magnitude with a similar level of computational accuracy compared with the optimized 3D GLQ method. The test also shows that the computational time of the proposed method is not affected by the observation height. Finally, the proposed forward method is applied to the topography correction of the Moon. The results show that the gravity response of the topography obtained with our method is close to that of the optimized 3D GLQ method and is also consistent with previous results.
球谐波域引力场的高效前向建模及其在月球地形校正中的应用
重力正演建模作为一种基本工具,已被广泛用于地形校正和三维密度反演。在全球或大规模问题中,为了考虑行星曲率的影响,通常将源区域离散为棋盘体(即球棱柱体)。传统的球面坐标重力正演建模方法,包括泰勒展开和高斯-列根德二次方程,都是基于空间域的,计算效率大多较低。本研究提出了一种高效率的球谐域重力场正演建模方法,其中重力异常和梯度张量可表示为三维密度分布的球谐波系数的球谐波合成形式。与传统的空间域方法相比,使用均质球壳模型来检验其有效性。结果表明,与经过优化的三维 GLQ 方法相比,所提出的球谐波域方法的计算效率提高了四个数量级,而计算精度却与之相当。测试还表明,所提方法的计算时间不受观测高度的影响。最后,将提出的前向方法应用于月球地形校正。结果表明,用我们的方法得到的地形重力响应与优化的三维 GLQ 方法接近,也与之前的结果一致。
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来源期刊
Remote Sensing
Remote Sensing REMOTE SENSING-
CiteScore
8.30
自引率
24.00%
发文量
5435
审稿时长
20.66 days
期刊介绍: Remote Sensing (ISSN 2072-4292) publishes regular research papers, reviews, letters and communications covering all aspects of the remote sensing process, from instrument design and signal processing to the retrieval of geophysical parameters and their application in geosciences. Our aim is to encourage scientists to publish experimental, theoretical and computational results in as much detail as possible so that results can be easily reproduced. There is no restriction on the length of the papers. The full experimental details must be provided so that the results can be reproduced.
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