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Memory-efficient implementation of gravity inversion

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Abstract

The distribution of density plays a crucial role in interpreting subsurface geologic structures for resource exploration and deep-structure research. However, conventional gravity inversion often involves storing a dense, large sensitivity matrix, demanding significant computational resources. To enhance the memory efficiency of gravity inversion, we introduce an intelligent data-sensing-based inversion to minimize the data involved in the inversion process. Initially, we validate the effectiveness of our approach using two synthetic data examples. Our intelligent data-sensing approach uses a loss-controlled compression technique to sense the optimal subset from the original gravity anomaly. A user-specified threshold determines the degree of the information loss. Subsequently, we invert the optimal subset, but not all is used in each iteration. Instead, we implement an inverting-testing strategy during the iteration, when part of the optimal subset serves as the inverting data set and another part serves as the testing data set. The amounts of inverting and testing data sets are equal in each iteration but may vary across iterations based on the inversion process. We conduct statistical analyses to assess the impact of the intelligent data-sensing approach on memory requirement during gravity inversion. Our method is applied to two field data sets, demonstrating that it requires only a small percentage of the total gravity anomaly to reconstruct density distribution nearly identical to those obtained using the complete optimal subset.

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