摘要
浅层地表介质的剪切波速是工程抗震设计、场地地震危险性分析、场地地震效应研究等研究的重要基础。面波勘探方法是一种利用人工震源激发产生的Rayleigh(瑞雷)面波来反演地下介质弹性参数特别是剪切波速的现场原位测试方法,工作效率高且经济成本低。本文针对面波勘探中相对较新的多道面波分析方法(MASW)在地下介质剪切波速探测中的应用进行了研究,主要研究内容及取得的成果如下:
(1)利用传递矩阵法(Dunkin)计算了水平层位条件下的Rayleigh波相速度频散曲线,并总结了频散曲线在速度半波长域的分层特征。利用交错网格有限差分法模拟了水平层位及复杂层位条件下的Rayleigh波场,总结了复杂层位条件下的Rayleigh波场的特征以及频率深度域中的频散特征。
(2)对常用的提取频散曲线的方法(F-K法、-p变换法、相移法)进行了改进,使得改进后的三种方法具有基本相同的精度,增强了频率速度域中各阶模态的分辨能力。
(3)对常用的线性反演方法阻尼最小二乘法和非线性反演方法模拟退火法在瑞雷波频散曲线反演中的方法技术进行了综合分析,并提出了阻尼最小二乘与模拟退火联合反演介质剪切波速的新方法。新方法克服了阻尼最小二乘法容易陷入局部极值的缺陷,也提高了模拟退火法的反演效率。
(4)对Hayashi and Suzuki(2004)提出的利用多道面波分析方法构建地下二维剖面的CMP Cross-Correlation法进行了应用研究。结果显示,该方法只能够适用于水平层状介质或阶梯状水平层位条件下频散曲线的基阶模态,而频散曲线的高阶模态无法获得。同时,通过对倾斜层位模型的模拟结果进行处理,发现该方法不适用于倾斜层位条件下频散曲线的获取。
(5)利用本文改进的频散曲线提取方法以及阻尼最小二乘与模拟退火联合反演方法对成都盆地实测的面波记录进行了分析,得到了成都盆地的覆盖层厚度以及等效剪切波速(VS20)。根据Boore (2011)提出的平均剪切波速VS30与上层平均剪切波速VSz之间的对数线性关系回归了成都盆地VS30与上层平均剪切波速VSz之间关系。结果显示,成都盆地VS30与VSz之间的变化趋势与Boore (2011)利用KiK-net钻孔数据回归的关系曲线非常接近。这一结果对于成都盆地场地VS30的估计提供了可靠的依据,同时也为该地区地震动衰减关系建立中估计场地影响因素提供了可靠的数据基础。
The shear wave velocity of near surface materials and its effects onseismic wave propagation are of fundamental interest in many engineeringand research domains. Such as seismic-resistant design of buildings, seismichazard evaluation of a region, evaluating seismic site response. Surfacewave methods are sorts of shear wave velocity in situ test methods. Based onthe dispersive property of the Rayleigh wave, which means the Rayleighwaves with different frequencies will transmit with different phase velocities,these methods can be applied to obtain the shear wave velocities and otherelastic modules of the sub-materials using an artificial source to generate theRayleigh waves. Multi-channel Analysis of Surface Wave (MASW) method,which is one of the surface wave methods and is still in the front ofinteresting, is growing in many geophysical and geotechnical applicationsdue to its low cost and efficiency. In this paper, the utility details of theMASW method is discussed, and some process techniques and algorithmsetc, which comprised in the MASW method, are improved. The maincontents and results of this research are as follows:
(1) The Rayleigh wave dispersion curves for flat layered models arecalculated by means of the transfer matrix method (Dunkin,1965). Thedispersion curves’ characters in the phase-velocity and the half-wavelength domain for the flat layered models are summarized. Meanwhile,the Rayleigh wave fields for some flat layered models and complicatedmodels are simulated using the staggered grid finite difference method.The characters of the Rayleigh wave fields and their dispersion curvesare summarized too.
(2) Improvements are made for the three commonly used dispersion curveimaging methods, namely the F-K transform, the τ-p transform and thephase-shift methods. The results show that the three methods afterimproved can get the same resolution in imaging the Rayleigh wavedispersion curves. Besides, the improvements can help the three methodsto enhance the separating capability of different modes.
(3) The implementation details of the linearized inversion algorithm ofDamped Least Square (DLS) and the nonlinearized inversion algorithmof the Very Fast Simulated Annealing (VFSA) in surface wave disper-sion curve inversion considering high modes are analysed, and a hybridinversion algorithm of DLS with VFSA is proposed by this paper. Theproposed algorithm can not only overcome the defects of DLS that couldbe captured by local minimum, but also more efficiency than the VFSA algorithm.
(4) The CMP Cross-Correlation method (Hayashi and Suzuki,2004),which is used to construct two dimensional shear wave velocity profile,is verified using simulated wave field data. Results show that thismethod could only be used to approximate step flat layered model andcould not be used to approximate dipping layered model. In addition,using this method, only the fundamental mode of the Rayleigh wave’sdispersion curve can be obtained.
(5) Finally, the research results of this paper are applied to the in situ testedrecords from the two regions of Chengdu basin and that of Dujiangyanmunicipal area, the equivalent shear wave velocities (VS20) andoverburdens of the two regions are obtained. Using the time averageshear wave velocity (VS30) estimating relation lgVS30=f(lgVSz) proposedby Boore (2011) which was used to estimate the VS30by VSzwhen VS30isunavailable by seismic methods or borehole tests, the relation’scoefficients of the Chengdu basin was determined. The results show thatthe relation of Chengdu basin is similar to that obtained by Boore (2011)using KiK-net borehole data. This relation is reliable for one to evaluatethe time averaged shear wave velocity (VS30) among the Chengdu basinwhen test VS30directly is unavailable, and for one to estimate the siteeffects while establishing ground motion attenuation relationship for theChengdu basin.
引文
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