Inverse spectral decomposition using an l p -norm constraint for the detection of close geological anomalies

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ORIGINAL PAPER

Inverse spectral decomposition using an lp‑norm constraint for the detection of close geological anomalies San‑Yi Yuan1 · Shan Yang1 · Tie‑Yi Wang2 · Jie Qi3 · Shang‑Xu Wang1 Received: 11 March 2020 © The Author(s) 2020

Abstract An important application of spectral decomposition (SD) is to identify subsurface geological anomalies such as channels and karst caves, which may be buried in full-band seismic data. However, the classical SD methods including the wavelet transform (WT) are often limited by relatively low time–frequency resolution, which is responsible for false high horizonassociated space resolution probably indicating more geological structures, especially when close geological anomalies exist. To address this issue, we impose a constraint of minimizing an lp (0