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Target-oriented full waveform inversion based on optimal transport theory

delete2026-01-01
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PRE
AI
T
Tianjing Shen
X
Xiaochun Chen *
K
Kai Chen
Y
Yukai Wo
X
Xuri Huang
DOI:10.1016/j.jappgeo.2026.106120delete
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Abstract

Abstract

En 中文
Target-oriented full waveform inversion (TOFWI) provides an efficient strategy for high-resolution imaging in local regions of interest, but its effectiveness is often limited by two main challenges: the need for redatuming of the acquisition system and the sensitivity of conventional L2-norm-based TOFWI (L2-TOFWI) to initial models and data quality. In this study, we propose an optimal transport (OT)-based TOFWI framework to overcome these limitations. First, we apply the Marchenko redatuming method to retrieve virtual reflection responses that isolate the target-zone wavefield. Then, we incorporate OT-based misfit functions, including graph-space OT (GSOT) and Kantorovich-relaxed OT (KROT), to enhance the convexity of the inversion landscape and improve robustness against noise and velocity-model inaccuracies. KROT introduces entropy regularization via the Sinkhorn algorithm, leading to smooth transport plans and improved numerical stability, whereas GSOT relies on a discrete assignment formulation that yields sparse transport plans and higher sensitivity to local waveform variations. Numerical experiments demonstrate that the proposed OT-TOFWI framework delivers more accurate and stable reconstructions than conventional L2-TOFWI, particularly under conditions of significant initial-model errors and low signal-to-noise ratio. Furthermore, comparisons with global full waveform inversion highlight that OT-TOFWI achieves better resolution in deeper structures with lower computational cost. These results confirm that integrating Marchenko redatuming with OT-based misfit functions provides a promising pathway for reliable target-oriented seismic imaging in complex geological settings.
Keywords:
Full-waveform inversion
Target-oriented
Marchenko redatuming
Optimal transport distance
Graph-space
Sinkhorn algorithm

Journal

J
Journal of Applied Geophysics
IF:
2.1
Papers:
247
Citations:
8.3K

Organization

C
china national offshore oil corporation (cnooc)
Scholars:
2.0K
Papers: 1.4K
Citations: 1
S
Southwest Petroleum University
Scholars:
1.4W
Papers: 7.8K
Citations: 8.5K