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<p>This paper investigates the characteristics and dynamics of rotational wave propagation in sedimentary rocks. We employ the Bykov model to analyze the behavior of rotational waves governed by the Sine-Gordon equation, considering the effects of damping and external forcing specific to the sedimentary rock medium. Using the variational method, we transform the wave model from an in-homogeneous partial differential equation into a coupled nonlinear ordinary differential equation. The results show that the sedimentary rock medium enhances the phase velocity of rotational waves, leading to the formation of kink solitons under the influence of external forcing, represented by the Dirac delta function. We also demonstrate that rotational waves contribute to the liquefaction process by increasing pore water pressure, which is explicitly expressed as a function of the rotational waves. Furthermore, we show that with damping and increasing external forcing, the impact on pore pressure rises rapidly, with porosity reaching a soliton-breathing state under stronger forcing.</p>

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Attenuation and amplification of propagation of non-linear rotational seismic waves Bykov model in sedimentary Basin

  • 期刊论文

  • 发表日期：

    2025年4月24日

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  • Albert Sulaiman,
  • Iman Suardi,
  • Armi Susandi,
  • Syuhada

摘要

This paper investigates the characteristics and dynamics of rotational wave propagation in sedimentary rocks. We employ the Bykov model to analyze the behavior of rotational waves governed by the Sine-Gordon equation, considering the effects of damping and external forcing specific to the sedimentary rock medium. Using the variational method, we transform the wave model from an in-homogeneous partial differential equation into a coupled nonlinear ordinary differential equation. The results show that the sedimentary rock medium enhances the phase velocity of rotational waves, leading to the formation of kink solitons under the influence of external forcing, represented by the Dirac delta function. We also demonstrate that rotational waves contribute to the liquefaction process by increasing pore water pressure, which is explicitly expressed as a function of the rotational waves. Furthermore, we show that with damping and increasing external forcing, the impact on pore pressure rises rapidly, with porosity reaching a soliton-breathing state under stronger forcing.