Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 49888 10.2205/2022ES000789 ОРИГИНАЛЬНЫЕ СТАТЬИ ORIGINAL ARTICLES ОРИГИНАЛЬНЫЕ СТАТЬИ Computationally Effective Gravity Inversion Allows for High-Resolution Regional Density Modeling of Earth's Crust with the Inclusion of the Topography Layer Computationally Effective Gravity Inversion Allows for High-Resolution Regional Density Modeling of Earth's Crust with the Inclusion of the Topography Layer https://orcid.org/0000-0002-2481-7328 Мартышко Петр Сергеевич Martyshko Pyotr Sergeevich https://orcid.org/0000-0002-4107-6488 Бызов Денис Дмитриевич Byzov Denis Dmitrievich Черноскутов Александр Игоревич Chernoskutov Aleksandr Igorevich Институт геофизики им. Ю.П. Булашевича УрО РАН Россия Institute of Geophysics named after Yu.P. Bulashevich Ural Branch of the Russian Academy of Sciences Russian Federation Институт геофизики им. Ю. П. Булашевича УрО РАН Россия Bulashevich Institute of Geophysics, UB RAS Russian Federation Институт геофизики им. Ю.П. Булашевича УрО РАН Россия Bulashevich Institute of Geophysics Russian Federation 18 05 2022 18 05 2022 22 2 1 7 20 12 2021 07 04 2022 https://rjes.ru/en/nauka/article/49888/view

The problem of inverting measured gravity data for large regions is of a great importance for planetary structure studies. Unfortunately, the usual methods of local gravity field inversion do not scale up well. There are three primary factors that start to play significant role: topography or terrain surface with large height differences, spherical geometry of the planet, and high computational complexity. In our previous work we were separately considering each of those problems in detail. In this paper however, we will address those issues simultaneously, offering a complete and computationally effective method of recovering spherical density model of Earth's crust with the upper topography layer. The method utilizes a closed form expression for the discretized model's gravity field which allows for great accuracy and speed without enforcing restrictions on model geometry or gravity field data grid. Inversion process is based on the conjugate gradient method. An example of inversion for a synthetic regional model is presented.

The problem of inverting measured gravity data for large regions is of a great importance for planetary structure studies. Unfortunately, the usual methods of local gravity field inversion do not scale up well. There are three primary factors that start to play significant role: topography or terrain surface with large height differences, spherical geometry of the planet, and high computational complexity. In our previous work we were separately considering each of those problems in detail. In this paper however, we will address those issues simultaneously, offering a complete and computationally effective method of recovering spherical density model of Earth's crust with the upper topography layer. The method utilizes a closed form expression for the discretized model's gravity field which allows for great accuracy and speed without enforcing restrictions on model geometry or gravity field data grid. Inversion process is based on the conjugate gradient method. An example of inversion for a synthetic regional model is presented.

 spherical density model terrain density model gravity field inversion gravimetry spherical density model terrain density model gravity field inversion gravimetry Russian Fund for Basic Researches project 20-05-00230 A Russian Fund for Basic Researches project 20-05-00230 A

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