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本文分析了简化模型下声波测井时裸眼井（内充流体一般是泥浆）中弹性波的传播,此波场可看成是轴向传播有不同波矢的分波的叠加。分析表明,对于井外只有单一均匀岩层且无限深的井,仅对如（18）式所示的特征频率成分才存在具有轴向传播最大相速度vzm=c2的所谓“首波”;而vx > c2及c2 > vz>b2的分波却不存在,此处c2和b2分别是井外岩层的纵波和横波速度。这正解释了文献[3]中所报道的裸眼井的“过滤效应”。分析还表明,对于井外具有多层岩层的井,只在一定条件下才存在与上述特性相近的“首波”。本文结果对声速测井显然是重要的。 相似文献
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本文引用超声波地震模拟实验的结果讨论了弯曲界面上折射法地震记录的特征。实验结果指出,当折射界面位于一定的深度时,时距曲线上总会出现由于界面弯曲所形成的“线圈”。而波在“线圈”上各点的强度根据曲面的几何形状而变化。当界面的曲率为零时,“线圈”成为绕射波时距曲线。 当折曲界面出现的落差较小时,使得上下棱的绕射波相迭加,“线圈”上的强度骤增,甚至达到折射波强度的5倍。从而可以根据“线圈”的动力学及运动学特征作出有关曲界面的解释。 相似文献
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钻井中首波的共振与衰减 总被引：6，自引：2，他引：4
本文从P波首波的严格割线积分出发,首次给出了揭示其共振与衰减特性的渐近展开式,通过数值计算,对这些公式进行了检验,证明它们与严格解符合的相当好.解析的和数值结果一致表明:首波具有共振特性,频谱是连续的;振幅随源距z按1/z规律衰减;各共振峰幅度随岩石泊松比v的增大按[v/（1-v）]2规律增大.时域计算表明,所谓“滤波效应”正是首波共振激发特性的反映,传播过程中不频散. 相似文献
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根据先前相似模型实验的结果 ,在板块边界驱动下 ,沿岩石圈下层 (含下地壳和岩石圈地幔 )传播的塑性流动波包括“快波”和“慢波” ,二者均属于黏性重力波 ,并分别由主波和辅波叠加而成。“快波”以 10 0 ～ 10 2 km/a量级的速度传播 ,已为塑性流动波控制下地震迁移的研究所证实。文中根据 7级以上强震的条带状分布图像 ,证明在喜马拉雅弧驱动下还存在着波速仅为 10 0 ～ 10 1m/a量级的“慢波” ,其中对 7级以上强震起控制作用的主要是“慢波”的辅波 ,其平均波长为 4 45km ,波速为 0 81～ 2 80m/a ,周期为 0 .16～ 0 .5 5Ma。“慢波”的边界起波时间距今约 1.34～ 4 .6 6Ma ,相当于上新世中期至早更新世中期 ,与喜马拉雅构造运动的主要活跃期 (幕 )之一相吻合。以喜马拉雅弧西段和东段为波源所形成的2个“慢波”系统的波峰带相互重叠 ,为 7级以上强震的发生提供了必要的能量背景 相似文献
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通常首波被认为是以下层高速度沿着平坦界面传播的折射波。然而,沿着不规则界面首波的传播路径至今仍不明确。在这里,我们将利用重叠单元(SEMO)方法以模拟的方式来研究这个问题。之所以选择重叠单元方法,是因为这种方法可以准确地计算出沿不规则界面传播的界面波。然后我们利用时间窗将首播从界面波中分离出来,并分析首播沿不规则界面传播进程中能量的变化和走时的变化。分析结果表明,与平坦的界面上首播的传播情况不同,沿不规则界面传播的首播由两种机制产生:折射机制和透射机制,也就是说,首播可能是沿界面传播的折射波或高速介质中向低速介质的透射波。关于首播的这种认识将有助于我们建设更加精确的首播反演方法,例如建立更为精确的首波旅行时层析成像,并由此获得更准确的地下结构模型,这对于研究认识一些特殊地区(如青藏高原)的形成机制是非常重要的。 相似文献
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基于大陆岩石圈塑性流动网络和塑性流动波的观念，地震迁移主要表现为塑性流动波控制下地震沿网带的迁移。中东亚网络系统存在着两种以上的塑性流动波，其中与地震中期预测有关的是“十年波”和“百年波”。它们具有不同的起波年份、起波期和波峰带，而各期波的优势传播方向和有效作用范围又有所不同。两种波的波峰带相互叠合形成双重波峰区，其中有“塑性流动－地震”网带经过的区段为地震提供必要的能量背景条件，构成能量背景区。对中国大陆１９７６年震情的检验表明，６．０～７．８级地震共１９次，约有９０％分布在相应震级范围的能量背景区内 相似文献
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岩石圈塑性流动波的物理模拟实验表明 ,在板块边界驱动下 ,模型中除了产生“快波”(波速量级大致相当于原型的 10 0 ～ 10 2 km/a)外 ,还存在着相当于原型波速量级为 10 - 1～ 10 0 m/a的“慢波”。“慢波”也可分解为主波和辅波 ,主波类似于涌波 (孤立波 ) ,辅波则以波群的方式传播 ,二者均系粘性重力波。板块边界的驱动作用通过不同波速的多重塑性流动波向板内传播 ,控制地震能量背景的起伏振荡 ,并导致缓慢构造运动的韵律性变化 相似文献
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An analytical solution for scattering of plane P waves by a semi-cylindrical hill was derived by using the wave function expansion method, and convergence of the solution and accuracy of truncation were verified. The effect of incident frequency and incident angle on the surface motion of the hill was discussed, and it was shown that a hill greatly amplifies incident plane P waves, and maximum horizontal displacement amplitudes appear mostly at the inclined incidence of waves, which are located at the half-space; and maximum vertical displacement amplitudes emerge mostly at the vertical incidence of waves, which are situated at the hill. 相似文献
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弹性层状半空间中凸起地形对入射平面SH波的放大作用 总被引：7，自引：0，他引：7
对Wolf理论进行拓展,使之可解决凸起地形对波的散射问题,进而利用间接边界元法,求解了弹性层状半空间中凸起地形对入射平面SH波的放大作用问题。本文模型的显著特点之一是考虑了层状半空间的动力特性以及层状半空间和凸起地形的阻尼;特点之二是计算精度高。文中以基岩上单一土层中半圆凸起地形对入射平面SH波的放大作用为例进行了数值计算分析。研究表明,基岩上单一土层中凸起地形对入射平面SH波放大作用和均匀半空间中凸起地形有着本质的差别;土层动力特性不仅影响凸起地形地表位移的幅值,还会影响地表位移的频谱;阻尼会显著降低凸起地形对高频波的放大作用。 相似文献
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The phenomenon of reflection and transmission of plane harmonic waves at the plane interface between two dissimilar poroelastic solids saturated with two immiscible viscous fluids is investigated. Both porous media are considered dissipative due to the presence of viscosity in pore‐fluids. Four attenuated (three dilatational and one shear) waves propagate in such a dissipative porous medium. A finite non‐dimensional parameter is used to define the effective connections between the surface‐pores of two media at their common interface. Another finite parameter represents the gas‐share in the saturation of pores. An attenuated wave in a dissipative medium is described through the specification of directions of propagation and maximum attenuation. A general representation of an attenuated wave is defined through its inhomogeneous propagation, i.e., different directions for propagation and attenuation. Incidence of an inhomogeneous wave is considered at the interface between two dissipative porous solids. This results in four reflected and four transmitted inhomogeneous waves. Expressions are derived for the partition of incident energy among the reflected and transmitted waves. Numerical examples are studied to determine the effects of saturating pore fluid, frequency, surface‐pore connections and wave inhomogeneity on the strengths of reflected and transmitted waves. Interaction energy due to the interference of different (inhomogeneous) waves is calculated in both the dissipative porous media to verify the conservation of incident energy. 相似文献
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A problem of reflection and transmission of elastic waves at a plane interface between a uniform elastic solid half-space and a porous elastic half-space containing two immiscible fluids is investigated. The theory developed by Lo, Sposito and Majer for porous media containing two immiscible fluids is employed to find out the reflection and transmission coefficients. The incident wave is assumed to propagate through the uniform elastic half-space and two cases are considered. In the first case, a beam of plane longitudinal wave is assumed to be incident and in the second case, a beam of transverse wave is assumed to be incident at the interface. By taking granite as impervious elastic medium and columbia fine sandy loam containing air-water mixture as porous medium, reflection and transmission coefficients are obtained. By neglecting the inertial coupling coefficients, these coefficients are reduced to those obtained by Tomar and Arora using the theory of Tuncay and Corapcioglu. It is found that the inertial coupling parameters significantly affect the phase speeds and the amplitude ratios of the transmitted waves. 相似文献
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Introduction Scattering of incident waves by local topographies is one of the most attractive topics in the field of engineering seismology. They can be resolved by either a numerical method or an analyti-cal method. The numerical methods include finite difference method, finite element method, boundary element method, etc. The analytical method is the wave function expansion method. Al-though numerical methods can be used for arbitrary-shaped topographies, the analytical solutions are still … 相似文献
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采用波函数展开法,并借助辅助函数思想,给出了平面SV波入射下半圆凸起地形地表运动的一个解析解,并对解答的收敛性和截断计算精度进行了检验;最后通过若干算例分析了入射频率和入射角度以及凸起地形宽度对地表运动的影响. 数值结果表明,凸起地形对入射SV波具有显著的放大作用, 该放大作用可达自由场的4倍以上. 当入射频率较低时, 位移峰值多位于半空间地表; 而当入射频率较高时,位移峰值多位于凸起地形表面. 相似文献
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We propose a new method for removing sea-surface multiples from marine seismic reflection data in which, in essence, the reflection response of the earth, referred to a plane just above the sea-floor, is computed as the ratio of the plane-wave components of the upgoing wave and the downgoing wave. Using source measurements of the wavefield made during data acquisition, three problems associated with earlier work are solved: (i) the method accommodates source arrays, rather than point sources; (ii) the incident field is removed without simultaneously removing part of the scattered field; and (iii) the minimum-energy criterion to find a wavelet is eliminated. Pressure measurements are made in a horizontal plane in the water. The source can be a conventional array of airguns, but must have both in-line and cross-line symmetry, and its wavefield must be measured and be repeatable from shot to shot. The problem is formulated for multiple shots in a two-dimensional configuration for each receiver, and for multiple receivers in a two-dimensional configuration for each shot. The scattered field is obtained from the measurements by subtracting the incident field, known from measurements at the source. The scattered field response to a single incident plane wave at a single receiver is obtained by transforming the common-receiver gather to the frequency–wavenumber domain, and a single component of this response is obtained by Fourier transforming over all receiver coordinates. Each scattered field component is separated into an upgoing wave and a downgoing wave using the zero-pressure condition at the water-surface. The upgoing wave may then be expressed as a reflection coefficient multiplied by the incident downgoing wave plus a sum of scattered downgoing plane waves, each multiplied by the corresponding reflection coefficient. Keeping the upgoing scattered wave fixed, and using all possible incident plane waves for a given frequency, yields a set of linear simultaneous equations for the reflection coefficients which are solved for each plane wave and for each frequency. To create the shot records that would have been measured if the sea-surface had been absent, each reflection coefficient is multiplied by complex amplitude and phase factors, for source and receiver terms, before the five-dimensional Fourier transformation back to the space–time domain. 相似文献
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Reflection and refraction at an imperfectly bonded interface between poroelastic solid and cracked elastic solid 总被引：1，自引：1，他引：0
Porous solid is in contact with a cracked elastic solid at a plane interface between them. For the presence of vertically aligned microcracks, the elastic solid behaves transversely isotropic to wave propagation. The coefficients of elastic anisotropy depend on the crack density and crack porosity in the medium. A loose bonding is considered between the two solids so that a limiting case could be the welded contact. At the plane interface, the imperfection in welded bonding is represented by tangential slipping and, hence, results in the dissipation of a part of strain energy. Three types of waves propagate in an isotropic fluid-saturated porous medium, which are considered for incidence at the interface. Incidence of a wave results in three reflected waves and two refracted waves. Partition of incident energy among the reflected and refracted waves is studied for each incidence, varying from normal to grazing directions. Numerical example calculates the energy shares of reflected and refracted waves at the plane interface between water-saturated sandstone and basalt. These energy shares are computed and analyzed for different values of crack parameters as well as loose bonding parameter. 相似文献
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针对饱和多孔介质中热弹性波的传播特性问题,基于多孔介质理论和广义的热弹性模型,研究平面S波在饱和多孔热弹性介质边界上的反射问题。以考虑流-固耦合的饱和多孔介质波动方程和热-弹耦合的广义热弹性基本方程出发,建立饱和多孔介质的热-流-固耦合弹性波动模型。通过引入势函数并考虑自由透水和绝热的边界条件,经过理论推导最终给出在饱和多孔热弹性介质边界上的四种反射波的振幅反射率的理论表达式。在此基础上进行数值计算,分别讨论平面S波的入射频率、入射角和热膨胀系数等参数对四种反射波的振幅反射率的影响情况。结果表明:各反射波的振幅反射率分别随频率和热膨胀系数的增大而增大,同时也受到平面S波入射角变化的影响。该结论对于土动力学的理论研究及其相关的工程勘探具有一定的指导意义。 相似文献