Abstract
The inverse problem of gravimetry under uncertainty of heterogeneous a priori information is solved. An algorithm using the possibilities of deterministic and probabilistic approaches is developed. In the framework of the probabilistic approach, a priori distribution of model parameters described by fuzzy sets. A deterministic approach is used to calculate fields from a given distribution of model parameters and formalization of a priori information through natural restrictions. Since the establishment of this algorithm is independent, it can be used for solving a wide range of nonlinear geophysical inverse problems.
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Kyshman-Lavanova, T.N. (2019). Pareto-Optimal Solutions of Inverse Gravimetry Problem with Uncertain a Priori Information. In: Nurgaliev, D., Khairullina, N. (eds) Practical and Theoretical Aspects of Geological Interpretation of Gravitational, Magnetic and Electric Fields. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-97670-9_2
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DOI: https://doi.org/10.1007/978-3-319-97670-9_2
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