一个近似的VTI介质声波方程

声学近似是提高各向异性介质准纵波数值模拟和偏移处理计算速度的有效方法之一.为了获得VTI(具有垂直对称轴的横向各向同性)介质声波方程,根据VTI介质的精确相速度表达式,用待定系数法简化其中的根号项,得到一个近似相速度公式,由此公式通过反Fourier变换推导出一个时间二阶、空间四阶偏微分方程.定量相速度计算表明,当Thomsen参数ε=δ(即相应介质为椭圆各向异性介质)时,由该方程所确定的相速度是精确的;当ε≠δ时,该方程所确定的相速度随ε和δ差值的增大逐渐增加.该方程所确定的最大相速度百分比相对误差当ε=0.1、δ=0.2时为0.13%,当ε=0.8、δ=0.3时为-1.65%.有限差分数值模拟算例表明该方程是一个纯准纵波方程,其数值模拟波场快照中没有准横波.     

新疆地区环境噪声层析成像研究

本文利用北京大学宽频带流动地震台阵和新疆地震监测台网12个月连续地震记录数据,采用环境噪声层析成像方法获得了新疆地区的周期从10~35 s范围内的瑞利面波相速度异常分布图像.研究结果与地表地质构造相一致,新疆地区的天山、两盆大地构造与瑞利面波相速度异常有较好的对应关系.短周期10~20 s的图像显示两个盆地内都呈现低速异常,对应盆地较厚的沉积层.中长周期25~35 s的层析成像结果显示东西天山地区存在明显异常差异.本文获得的新疆地区地壳和上地幔相速度结果,也为进一步结合传统天然地震面波成像方法,最终获得新疆地区的三维剪切波速度结构奠定基础.     

利用远震研究四川盆地及其周缘瑞利面波相速度和方位各向异性

基于四川盆地及周边的245个宽频带台站2010年9月-2014年9月期间的远震记录,提取双台路径瑞利面波相速度频散资料,反演得到四川盆地20~120 s的高分辨率瑞利面波相速度及各向异性空间分布.在丰富区域地球物理基础数据的同时,结合已有研究成果对地壳上地幔变形耦合进行探讨,结果表明短周期（20~30 s）的相速度分布与四川盆地的地质构造特征相吻合,作为川滇地块、松潘-甘孜地块和四川盆地之间的边界——龙门山断裂带和鲜水河断裂带对上述三个地块上地壳的速度结构具有明显的控制作用;松潘-甘孜地块,特别是川滇地块中下地壳普遍表现为明显的低速异常,表明中下地壳相对软弱;而四川盆地的中下地壳整体呈现相对高速,表明四川盆地具有相对坚硬的中下地壳.研究区域东南角接近北扬子地块与南扬子地块的缝合部位,呈现高速异常.四川盆地南部和东南邻区不同周期均具有较强的各向异性,且快波方向较为一致,反映这些地区不同深度变形耦合较好.四川盆地西部、北部及东北部邻区,不同周期的各向异性快波方向变化较大,不同深度变形耦合较差.这些特征与绕喜马拉雅东构造结的物质流动被扬子地块的高速地壳阻挡的宏观认识基本一致.

     

SH波地表散射的局域边界元模拟

本文提出了一种计算不规则起伏地形中SH波散射的有效方法——局域边界元法.本方法基于传统边界元法,为计算复杂地表散射问题提供了一种更加高效的解决方案.根据地震波满足的边界积分方程中牵引力格林函数的特性,我们将自由边界分解成水平部分和起伏部分.通过公式推导,可将水平部分的位移由起伏部分的位移通过格林函数线性叠加表示,因此只需对起伏部分的位移进行直接求解,从而极大地减少了待求解的未知数个数,显著提高了计算效率.通过与半圆形山谷SH波平面波入射的解析解比较,验证了方法的正确性.数值模型比较显示,局域边界元模拟结果与传统边界元数值解完全吻合,但是大幅提高了计算效率.因此,局域边界元法可以作为模拟不规则地形中地震波散射的有效工具.

     

应用Sato、Aki模型对比分析内蒙古东北地区尾波Q值

选取2016年3月—2019年6月内蒙古地震监测台网记录的925条内蒙古东北部及邻近地区地震数据,从中挑选133次ML≥2.0且记录清晰、信噪比较高的地震事件,利用Sato模型、Aki模型,分别计算该区域地震尾波平均Q值,并拟合得到Q值对频率的依赖关系,其中:(1) Sato模型:QC(f)=(64.11±29.15) f (0.8914±0.0772);(2) Aki模型:QC(f)=(258.4±65)f (0.6815±0.1435)。结果表明,利用2种模型计算的该区域地震尾波Q值分布具有一致性,且Q值与依赖指数η成反比关系,分析认为,尾波Q值高低分布与地震活动性及地质构造有关。     

An alternative Boussinesq equation considering the effect of hysteresis on coastal groundwater waves

This paper presents an alternative Boussinesq equation considering hysteresis effect via a third‐order derivative term. By introducing an improved moisture–pressure retention function, this equation describes, with reasonable precision, groundwater propagation in coastal aquifers subject to Dirichlet boundary condition of different oscillation frequencies. Test results confirmed that it is necessary to consider horizontal and vertical flows in unsaturated zone, because of their variable influences on hysteresis. Hysteresis in unsaturated zone can affect the water table wave number of groundwater wave motion, such as wave damping rate and phase lag. Oscillations with different periods exert different hysteresis effect on wave propagation. Truncation/shrinkage of unsaturated zones also affects the strength of hysteresis. These impacts can be reflected in the alternative Boussinesq equation by adjusting the parameter representing the variation rate of moisture associated with pressure change, as opposed to traditional computationally expensive hysteresis algorithms. The present Boussinesq equation is simple to use and can provide feasible basis for future coupling of groundwater and surface water models. Copyright © 2016 John Wiley & Sons, Ltd.     

Validating the ability of the discontinuous deformation analysis method to model normal P‐wave propagation across rock fractures

The effects of fractures on wave propagation problems are increasingly abstracting the attention of scholars and engineers in rock engineering field. This study aims to fully validate the ability of discontinuous deformation analysis (DDA) to model normal P‐wave propagation across rock fractures. The effects of a single fracture and multiple parallel fractures are all tested. The results indicate that DDA can accurately reflect the fracture effects, including the fractures stiffness, the fracture spacing and the fracture number, and the effects of incident wave frequency on one‐dimensional P‐wave propagation problems. Thus, DDA is able to deal well with normal incident P‐wave propagation problems. Copyright © 2017 John Wiley & Sons, Ltd.     

Investigation into the effect of fault properties on wave transmission

The estimation of wave transmission across the fractured rock masses is of great importance for rock engineers to assess the stability of rock slopes in open pit mines. Presence of fault, as a major discontinuity, in the jointed rock mass can significantly impact on the peak particle velocity and transmission of blast waves, particularly where a fault contains a thick infilling with weak mechanical properties. This paper aims to study the effect of fault properties on transmission of blasting waves using the distinct element method. First, a validation study was carried out on the wave transmission across a single joint and different rock mediums through undertaking a comparative study against analytical models. Then, the transmission of blast wave across a fault with thick infilling in the Golgohar iron mine, Iran, was numerically studied, and the results were compared with the field measurements. The blast wave was numerically simulated using a hybrid finite element and finite difference code which then the outcome was used as the input for the distinct element method analysis. The measured uplift of hanging wall, as a result of wave transmission across the fault, in the numerical model agrees well with the recorded field measurement. Finally, the validated numerical model was used to study the effect of fault properties on wave transmission. It was found that the fault inclination angle is the most effective parameter on the peak particle velocity and uplift. Copyright © 2017 John Wiley & Sons, Ltd.     

Liquefaction potential evaluations by energy-based method and stress-based method for various ground motions

An energy-based liquefaction potential evaluation method (EBM) previously developed was applied to a uniform sand model shaken by seismic motions recorded at different sites during different magnitude earthquakes. It was also applied to actual liquefaction case histories in Urayasu city during the 2011 M9.0 Tohoku earthquake and in Tanno-cho during the 2003 M8.0 Tokachi-oki earthquake. In all these evaluations, the results were compared with those by the currently used stress-based method (SBM) under exactly the same seismic and geotechnical conditions. It was found that EBM yields similar results with SBM for several ground motions of recent earthquakes but has easier applicability without considering associated parameters. In Urayasu city, the two methods yielded nearly consistent results by using an appropriate coefficient in SBM for the M9.0 earthquake, though both overestimated the actual liquefaction performance, probably because effects of plasticity and aging on in situ liquefaction strength were not taken into account. In Tanno-cho, EBM could evaluate actual liquefaction performance due to a small-acceleration motion during a far-field large magnitude earthquake while SBM could not.     

厚碳酸盐岩覆盖区RVSP三维地震勘探应用效果分析

该文以中国南方一厚碳酸盐岩覆盖区的RVSP三维地震勘探实例,对RVSP三维地震勘探观测系统和数据采集参数的确定、地面等效处理和波场分离等关键处理技术及地质效果进行了阐述和分析,说明了RVSP在克服表浅层复杂地质条件及环境条件对资料的影响及提高地震资料的分辨率有其特定的优势,同时也提出了RVSP三维地震在采集和处理过程中的难点。