Nevisi, A. Rezaei, Riahi, M. A., Bohlen, T., Soleimani Monfared, Mehrdad and Bagheri, M. (2023) An unsplit perfectly matched layer for second-order heterogeneous time-domain elastic wave equation. In: 84th EAGE Annual Conference and Exhibition, Vienna 5 June 2023 through 8 June 2023, Volume 3. . EAGE, Vienna, pp. 1974-1978. ISBN 978-171388415-6 DOI 10.3997/2214-4609.202310569.

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Abstract

Many geophysical inversion methods rely on simulating wave propagation. With the advent of advanced computing systems and the need for precise forward models for Full Waveform Inversion (FWI) and Reverse Time Migration (RTM) applications, elastic wave modeling has attracted more attention. In order to solve the wave equation, which is a Partial-Differential-Equation (PDE), using numerical methods such as Finite Difference (FD), an absorbing layer is defined at the boundaries of the model to avoid unwanted reflections. In wave simulations, a perfectly matched layer (PML) is a highly effective absorbing layer. In many simulations, applying a second-order equation system is simpler and more practical. Despite its usefulness, extending PML to second-order systems generates some difficulties because the method was originally designed for first-order systems. This paper proposes an unsplit PML implementation for the second-order heterogeneous elastic wave equation by making use of the auxiliary differential equations. This method has a lower computing cost compared to earlier studies and can be easily incorporated into existing codes. Numerical examples indicate the method’s satisfactory performance.

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