Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 71696 10.2205/2024ES000932 zmrljg ОРИГИНАЛЬНЫЕ СТАТЬИ ORIGINAL ARTICLES ОРИГИНАЛЬНЫЕ СТАТЬИ Solving Inverse Magnetometry Problems Using Fuzzy Logic Solving Inverse Magnetometry Problems Using Fuzzy Logic https://orcid.org/0000-0003-3710-1246 Агаян Сергей Мартикович Agayan S M s.agayan@gcras.ru https://orcid.org/0000-0002-3171-5768 Богоутдинов Шамиль Рафекович Bogoutdinov Shamil Rafekovich shm@gcras.ru https://orcid.org/0000-0002-7283-9679 Фирсов Илья Андреевич Firsov Il'ya Andreevich Геофизический центр Российской Академии Наук RU Geophysical Center of the Russian Academy of Sciences RU Институт физики Земли им. О.Ю. Шмидта Российской академии наук Россия Schmidt Institute of the Physics of the Earth Russian Academy of Sciences Russian Federation 26 12 2024 26 12 2024 24 4 1 23 17 11 2023 27 08 2024 https://rjes.ru/en/nauka/article/71696/view

Integration interpretation of geophysical anomalies is a procedure for extracting geological and geophysical information about the object under study from observed physical fields. Interpretations are closely related to solutions of systems of linear algebraic equations (SLAE), therefore the possibility of the most complete and constructive description of all solutions of SLAE is of particular importance. It will allow you to take into account all additional information about the object and obtain the highest quality interpretation. The paper presents the authors’ results on the constructive description of SLAE solutions and its application to the construction of gravimetric interpretations.

Integration interpretation of geophysical anomalies is a procedure for extracting geological and geophysical information about the object under study from observed physical fields. Interpretations are closely related to solutions of systems of linear algebraic equations (SLAE), therefore the possibility of the most complete and constructive description of all solutions of SLAE is of particular importance. It will allow you to take into account all additional information about the object and obtain the highest quality interpretation. The paper presents the authors’ results on the constructive description of SLAE solutions and its application to the construction of gravimetric interpretations.

 system of linear algebraic equations; inverse magnetometry problem; constructive description of solutions; projection method system of linear algebraic equations; inverse magnetometry problem; constructive description of solutions; projection method This work was funded by the Russian Science Foundation (project No. 24-17-00346). This work was funded by the Russian Science Foundation (project No. 24-17-00346).

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