一种基于VTI介质的高效解耦粘声Q补偿逆时偏移方法

    An efficient Q-compensated reverse time migration method using a decoupled pure viscoacoustic anisotropic wave equation based on vertical transverse isotropic media

    • 摘要: 煤田工区普遍具有表层强衰减、采空区与煤层强吸收衰减及显著各向异性等地质特征,导致地震波在传播过程中出现明显的振幅衰减与相位畸变。若在地震偏移成像中忽略介质粘滞性与各向异性效应,将造成振幅能量削弱、同相轴畸变及反射界面错位,显著降低煤层及采空区的成像精度。为此,本文从广义标准线性体(GSLS)模型出发,结合声学近似下的各向异性频散关系,推导出一种具显式Q表达的解耦纯粘声各向异性方程。该方程能够准确刻画地震波在粘滞各向异性煤岩体中的传播特征,并有效实现了振幅衰减项与相位频散项的解耦。与耦合型拟粘声各向异性方程相比,本文推导的解耦纯粘声方程波场中无伪横波干扰,且不受各向异性参数约束;与传统常Q模型相比,其在保证模拟精度的同时显著提高了计算效率。在此方程基础上,针对煤田地震勘探中衰减和各向异性特征较强的工区,发展了Q补偿各向异性校正偏移成像技术,从而精确恢复煤岩介质工区成像结果的能量损失和反射界面错位。数值实验表明,基于该方程的Q补偿各向异性校正逆时偏移方法在煤层结构与采空区成像中表现出优越的分辨率与算法稳定性,验证了其在煤田复杂地质条件下的适用性与有效性。

       

      Abstract: Coalfield survey areas are typically characterized by strong near-surface seismic attenuation, strong absorption-induced seismic attenuation in goafs and coal seams, and pronounced seismic anisotropy. These geological characteristics lead to significant amplitude attenuation and phase distortion of seismic waves during their propagation. Ignoring the effects of medium viscosity and anisotropy in seismic migration imaging will lead to weakened amplitudes, distorted seismic events, and dislocation of reflection interfaces, thereby significantly reducing the imaging accuracy of coal seams and goafs. Hence, based on the generalized standard linear solid (GSLS) model and the anisotropic dispersion relationship under acoustic approximation, this study derived a decoupled pure viscoacoustic anisotropic wave equation with an explicit Q expression. This equation allows for the accurate characterization of the propagation characteristics of seismic waves in viscous, anisotropic coal-rock masses while effectively decoupling the amplitude attenuation term from the phase dispersion term. Compared to the coupled quasi-viscoacoustic anisotropic wave equation, the equation derived in this study eliminates the interference from pseudo S-waves and is unaffected by anisotropy parameters. Compared to the conventional constant-Q attenuation model, the proposed equation exhibits high computational efficiency while maintaining simulation accuracy. Based on this equation, this study developed a Q-compensated anisotropy-corrected reverse time migration (RTM) imaging method for survey areas characterized by strong attenuation and anisotropy in seismic coalfield exploration. This method enables accurate restoration of energy loss and the correction of dislocated reflection interfaces in imaging results for survey areas with coal-rock media. Numerical experiments demonstrate that this imaging method exhibits superior resolution and algorithmic stability in the imaging of coal seam structures and goafs, validating its applicability and effectiveness under complex geological conditions of coalfields.

       

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