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In this note we investigated the effects of a thin visco-elastic mud layer on wave propagation. Within the framework of linear water-wave theory, analytical solutions are obtained for damping rate, dispersion relation between wave frequency and wave number, and velocity components in the water column and mud layer. The wave attenuation rate reaches a maximum value when the mud layer thickness is about the same as the mud boundary layer thickness. Heavier mud has a weaker effect on the wave damping. However, the wave attenuation rate does not always decrease as the elastic shear modulus increases. In the range of small values for elastic shear modulus, the wave attenuation can be amplified quite significantly. The current solutions are compared with experimental data with different wave conditions and mud properties. In general, good agreements are observed. 相似文献
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We prove that rays in linearly elastic anisotropic nonuniform media obey Fermat's principle of stationary traveltime. First, we formulate the concept of rays, which emerges from the Hamilton equations. Then, we show that these rays are solutions of the variational problem stated by Fermat's principle. This proof is valid for all rays except the ones associated with infection points on the phase-slowness surface. 相似文献
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利用2001年 Mw 78 可可西里强震InSAR同震测量结果，反演了青藏高原北部东昆仑断裂两侧地壳弹性介质差异.InSAR测量结果显示断层南侧的同震位移比北侧的大20％～30%.根据人工地震反射剖面建立岩石圈模型，以断层两侧杨氏模量差异和震源破裂深度为反演变量，通过有限元方法模拟实测得到的同震位移剖面.反演得到最佳断层破裂深度为20～22km，断层南侧杨氏模量相对北侧比值为81%～92%.结果表明，断层两侧弹性介质性质存在明显差异，由于构造运动作用，断层南部地壳不及北部地壳坚硬.前人利用地震层析成像和大地电磁测深等手段推断青藏高原内昆仑山断裂以南可可西里－羌塘地块地壳内广泛发育低速高导层，我们通过形变场力学分析得到与此相一致的结果. 相似文献
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The ambient pressure elastic properties of a natural clinopyroxene (C2/c symmetry) from Kilbourne Hole, NM have been determined.
In terms of end-members, diopside (CaMgSi2O6), hedenbergite (CaFeSi2O6), jadeite (NaAlSi2O6), cosmochlor (NaCrSi2O6), and Mg-Tschermak (MgAl(AlSi)O6), its composition is Di72He9Jd3Cr3Ts12. The analytic density, based on chemistry and cell parameters is 3.327 (0.003) g/cm3. The elastic constants [c11, c12, c13, c15, c22, c23, c25, c33, c35, c44, c46, c55, c66] are [273.8 (0.9), 83.5 (1.3), 80.0 (1.1), 9.0 (0.6), 183.6 (0.9), 59.9 (1.6), 9.5 (1.0), 229.5 (0.9), 48.1 (0.6), 76.5 (0.9),
8.4 (0.8), 73.0 (0.4), 81.6 (1.0)] GPa where uncertainties are reported at the 95% confidence level. The aggregate (mean of
Hashin-Strikman bounds) adiabatic bulk modulus is 117.2 (0.7) GPa, and the shear modulus is 72.2 (0.2) GPa. Although measured
moduli are broadly consistent with trends in elasticity versus atomic volume, deviations from the systematics would produce
significant (percent level) changes in calculated velocities for candidate mantle mineral assemblages. The compositional dependence
of elasticity for several clinopyroxenes is explored on the basis of just the Di+He and Jd+Ts mole fractions. The bulk modulus
lies within experimental uncertainties of the linear mixture of end-member properties while the shear modulus deviates by
3%.
Received: 29 September 1997 / Revised, accepted: 4 March 1998 相似文献
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Mikael Beuthe 《Geophysical Journal International》2008,172(2):817-841
Planetary topography can either be modelled as a load supported by the lithosphere, or as a dynamic effect due to lithospheric flexure caused by mantle convection. In both cases the response of the lithosphere to external forces can be calculated with the theory of thin elastic plates or shells. On one-plate planets the spherical geometry of the lithospheric shell plays an important role in the flexure mechanism. So far the equations governing the deformations and stresses of a spherical shell have only been derived under the assumption of a shell of constant thickness. However, local studies of gravity and topography data suggest large variations in the thickness of the lithosphere. In this paper, we obtain the scalar flexure equations governing the deformations of a thin spherical shell with variable thickness or variable Young's modulus. The resulting equations can be solved in succession, except for a system of two simultaneous equations, the solutions of which are the transverse deflection and an associated stress function. In order to include bottom loading generated by mantle convection, we extend the method of stress functions to include loads with a toroidal tangential component. We further show that toroidal tangential displacement always occurs if the shell thickness varies, even in the absence of toroidal loads. We finally prove that the degree-one harmonic components of the transverse deflection and of the toroidal tangential displacement are independent of the elastic properties of the shell and are associated with translational and rotational freedom. While being constrained by the static assumption, degree-one loads can deform the shell and generate stresses. The flexure equations for a shell of variable thickness are useful not only for the prediction of the gravity signal in local admittance studies, but also for the construction of stress maps in tectonic analysis. 相似文献
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By using the bender and extender elements tests, the travel times of the shear (S) and the primary (P) waves were measured for dry sand samples at different relative densities and effective confining pressures. Three methods of interpretations, namely, (i) the first time of arrival, (ii) the first peak to peak, and (iii) the cross-correlation method, were employed. All the methods provide almost a unique answer associated with the P-wave measurements. On contrary, a difference was noted in the arrival times obtained from the different methods for the S-wave due to the near field effect. The resonant column tests in the torsional mode were also performed to check indirectly the travel time of the shear wave. The study reveals that as compared to the S-wave, it is more reliable to depend on the arrival times’ measurement for the P-wave. 相似文献
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Ekhard K. H. Salje 《Physics and Chemistry of Minerals》2008,35(6):321-330
It is argued that low-frequency wave propagation shows, in most cases, very little dependence on the atomistic properties
of grain boundaries if the thickness of the grain boundary is atomistically thin while the grain size is in the mm region.
Large effects do exist for specific textures (e.g. the brick wall texture). The essential ingredient for the assessment of
an-elastic and non-linear elastic features of seismic wave propagation does not primarily depend on the structural properties
of immobile, dry grain boundaries but on the way the grain boundary properties can be related to those of macroscopic mineral
assemblies. Specific results for coated sphere textures are derived using Hashin-Shtrikman theory. An-elastic seismic features
are more likely to be related to the mobility of boundaries and dislocations which can be attached to the grain boundaries,
or bulk-related defect structures, rather than the intrinsic materials properties of the grain boundaries. 相似文献
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The paper studies longitudinal vibrations of an ultra-deepwater drilling riser whose bottom end is disconnected from the sea floor and covered by a plug (a blind one or the one with a hole). An elastic shell is used as a model of a riser pipe. The fluid column motion in the riser is described by the Navier–Stokes equation for a compressible fluid. Losses of fluid pressure during its flowing through a hole in the plug are taken into account. Solution of the riser equations is carried out in the frequency domain. Analysis of the effect which the riser length, wave period and height, and the plug-hole diameter on the amplitude of the riser's tension vibrations is conducted. A riser manufactured of strong aluminium alloys, some of prospective materials for ultra deepwater drilling, was considered as a prototype. It has been shown that risers 2000–4000 m long, plug-hole, and a riser 6000 m long with plug-hole of 0.087 m in diameter can withstand wave height of >15 m throughout the frequency range. 相似文献