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    基于差分走时伴随状态法的地震层析成像方法研究

    Seismic tomography method using the differential-difference traveltime and adjoint-state method

    • 摘要: 地震走时层析成像作为一种重要的地下速度结构反演工具,广泛应用于地球物理探测、地球内部结构成像和油气勘探等领域。然而,传统的绝对走时差(Absolute-Difference,简称 AD)方法在实际应用中面临震源起始时间误差、检波器位置不准确以及局部速度扰动不敏感等问题,限制了其高分辨率成像能力。为克服这些问题,本文引入基于差分走时(Differential-Difference, 简称DD)的伴随状态法地震走时成像方法,该方法通过计算不同接收点之间的差分走时,能够有效消除震源时间误差、接收端位置误差等系统性误差,提高成像精度。本文通过数值实验,系统分析了静校正误差对传统AD方法的影响,并验证了DD方法在静校正误差场景下的稳健性。结果表明,DD方法在静校正误差的影响下,能够保持较高的梯度稳定性,克服AD方法对误差的敏感性,成功恢复地下速度异常体的边界与幅值,且具有优越的抗误差能力。通过定量分析,DD方法的反演结果相较于AD方法,表现出了更高的分辨率和准确性,尤其在复杂地表条件下具有显著优势。本研究为差分走时伴随状态法在地震走时层析成像中的应用提供了理论依据与技术参考,展现了其在浅层成像及高精度工程勘探中的潜力,特别是在克服传统静校正策略难题方面,具有广阔的应用前景。

       

      Abstract: As an essential tool for subsurface velocity structure inversion, seismic traveltime tomography is widely applied in geophysical exploration, imaging of the Earth’s internal structure, and oil and gas exploration. However, the traditional Absolute-Difference (AD) method faces challenges in practical applications, such as source origin time errors, inaccurate receiver locations, and insensitivity to local velocity perturbations, which limit its high-resolution imaging capability. To overcome these issues, this paper introduces a seismic traveltime tomography method based on the Differential-Difference (DD) adjoint-state method. By calculating the differential traveltimes between different receiver pairs, this method effectively eliminates systematic errors, including source time offsets and receiver location inaccuracies, thereby improving imaging precision. Through numerical experiments, we systematically analyze the impact of static errors (e.g., source and receiver location errors) on the traditional AD method and verify the robustness of the DD method in scenarios involving static correction errors. The results demonstrate that under the influence of static errors, the DD method maintains high gradient stability, overcomes the error sensitivity inherent in the AD method, and successfully recovers the boundaries and amplitudes of subsurface velocity anomalies with superior error resistance. Quantitative analysis shows that the inversion results of the DD method exhibit higher resolution and accuracy compared to the AD method, particularly under complex surface conditions. This study provides a theoretical basis and technical reference for the application of the differential-difference adjoint-state method in seismic traveltime tomography. It demonstrates significant potential in near surface imaging and high-precision engineering exploration, offering broad application prospects, especially in addressing the long-standing challenges of traditional static correction strategies.

       

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