Joint Gramian inversion of geophysical data with different resolution capabilities: case study in Yellowstone

Abstract

Summary Joint inversion of multiphysics data is a practical approach to the integration of geophysical data, which produces models of reduced uncertainty and improved resolution. The development of effective methods of joint inversion requires considering different resolutions of different geophysical methods. This paper presents a new framework of joint inversion of multiphysics data, which is based on a novel formulation of Gramian constraints and mitigates the difference in resolution capabilities of different geophysical methods. Our approach enforces structural similarity between different model parameters through minimizing a structural Gramian term, and it also balances the different resolutions of geophysical methods using a multiscale resampling strategy. The effectiveness of the proposed method is demonstrated by synthetic model study of joint inversion of the P-wave traveltime and gravity data. We apply a novel method based on Gramian constraints and multiscale resampling to jointly invert the gravity and seismic data collected in Yellowstone national Park to image the crustal magmatic system of the Yellowstone. Our results helped to produce a consistent image of the crustal magmatic system of the Yellowstone expressed both in low-density and low-velocity anomaly just beneath the Yellowstone caldera.

Robust 3D Joint Inversion of Gravity and Magnetic Data: A High-Performance Computing Approach

“…The Gramian G [73] is defined as the determinant of the Gram matrix for the elements m (1) and m (2) . The equivalence of the Gramian with respect to the L2 norm of crossed gradients is detailed in Appendix B of [76].…”

“…Joint inversion as a regularizer to mitigate the non-uniqueness of solutions has proven to be very effective [69][70][71][72][73][74][75][76]. This assumes that information obtained from different methods, whether directly or indirectly, comes from the same source interacting with different physical fields.…”

Advanced Methods of Joint Inversion of Multiphysics Data for Mineral Exploration

“…Paper [28] presents a case study of jointly inverting the gravity and seismic data collected in Yellowstone National Park using localized Gramian constraints. The cited paper also addresses the important issue of dealing with different resolution capabilities of various geophysical methods in joint inversion.…”

“…The cited paper also addresses the important issue of dealing with different resolution capabilities of various geophysical methods in joint inversion. Interested readers can find useful practical details in [28] for applying this technique to image the crustal magmatic system of Yellowstone.…”