Acoustic plane-wave scattering from a rough surface over a random fluid medium

Acoustic plane-wave scattering from a rough surface overlying a fluid half-space with a sound-speed distribution subject to a small random variation is considered. Under the assumption that the surface roughness and medium randomness are statistically independent, the scattered field may be derived by first solving for the mean field in the medium, and then incorporating with boundary-perturbation method to obtain the total mean field and the power spectral density of the scattered field. The employed algorithm is compatible to the analysis available in the existing literature so that the formulations are conveniently integrated. The results for the power spectral density have shown that the effects of medium inhomogeneities on the rough surface scattering are limited in a spectral regime where the scattered components have shallow grazing angles. The distribution of the power spectral density over the space is primarily governed by the power spectrum and correlation lengths of the rough surface.     

A three-dimensional wave field over a bidirectionally periodic ripple bottom

For gravity wave trains propagating over an arbitrary wavy bottom, a perturbation expansion is developed to the second order so that the Bragg resonance effect of the ripple bottom on the free-surface wave can be analyzed. Both the resonant and non-resonant cases are treated and the singular behavior at resonance is avoided. This theory is successfully verified by reducing to simpler situations. Then, the analytical results for the special case of a unidirectional sinusoidal bottom are compared with experimental data for validation.     

Third order contribution to the wave-making resistance of a ship at finite depth of water

This paper presents a potential based boundary element method for solving a nonlinear free surface flow problem for a ship moving with a uniform speed in finite depth of water. The free surface boundary condition is linearized by the systematic method of perturbation in terms of a small parameter up to third order. The surfaces are discretized into flat quadrilateral elements and the influence coefficients are calculated by Morino's analytical formula. Dawson's upstream finite difference operator is used in order to satisfy the radiation condition. The second order solution gives better result than the first or third order solution. So the present method with the second order solution can be adopted as a powerful tool for the hydrodynamic analysis of the thin ship in finite depth of water.     

杠杆点评估及设计空间抗差

本分析了杠杆点的几何含义和统计特征,从杠杆点的保差性,矩阵的摄动和参数估值可靠性的观点出发讨论了杠杆点的不利和有利的两个方面,提出了一个全面的设计空间抗差方案。     

Adjoint Matching Condition for Parameterized Discontinuities—A Derivation Using Lagrangian-form Costfunction

ＡｄｊｏｉｎｔＭａｔｃｈｉｎｇＣｏｎｄｉｔｉｏｎｆｏｒＰａｒａｍｅｔｅｒｉｚｅｄＤｉｓｃｏｎｔｉｎｕｉｔｉｅｓ—ＡＤｅｒｉｖａｔｉｏｎＵｓｉｎｇＬａｇｒａｎｇｉａｎ－ｆｏｒｍＣｏｓｔｆｕｎｃｔｉｏｎＸｕＱｉｎ（许秦）ＣｏｏｐｅｒａｔｉｖｅＩｎｓｔｉｔ...     

Adjoint Matching Condition for Parameterized Discontinuities－A Derivation Using Lagrangian-form Costfunction

The generalized adjoint property and adjoint matching condition for systems that contain discontinuous on / off switches are derived by a perturbation analysis of the Lagranging-form costfunction     

Regional moment tensor uncertainty due to mismodeling of the crust

The retrieval of earthquake moment tensor (MT) requires the response of the medium, in which seismic waves travel from the hypocenter to the stations, to be known. In inverting long-period (LP) seismic data (teleseismic and LP regional records), a gross earth model is sufficient; with decreasing periods, a more detailed model is needed. This is the case when waveforms of weak earthquakes at regional distances are to be inverted. Regional moment tensors (RMTs) of mostly Mediterranean earthquakes are determined on a routine basis by the Swiss Seismological Survey (SED) by using averaged models of the earth's crust. By inverting broad-band records of the M_w=4.8 earthquake near Udine, N Italy, on Feb. 14, 2002, we tested the sensitivity of the MT solution with respect to possible errors in the earth model used and in the location of the hypocenter depth. We perturbed the P and S velocities and the thickness in the 1-D earth model in the range from 3% to 30% of the parameter values and constructed estimates of confidence regions of the MT and error bars of the source time function (STF) and scalar moment in three frequency bands. Similarly, these error characteristics were determined assuming a mislocation in the hypocenter depth. We found that, in the band of periods from 25 to 50 s, the mechanism is resolved well (at the confidence level 95% at least) up to an earth model uncertainty of 30%, in the passband 10–25 s up to about 10%, but it is undetermined completely at periods of 5–10 s. An error in hypocenter depth of as much as double the value reported by the location procedure does not destroy the resolution of the mechanism at periods above 10 s. In the RMT catalog of the SED, earthquakes of M_w greater than about 3.5 are processed at periods above 30 s; thus, the solutions for these events are robust with respect to a possible uncertainty in the earth model used. Mechanisms of weaker earthquakes, retrieved from short periods, should be interpreted with caution.     

n—D Radon变换与波动方程偏移

本文把Ｒａｄｏｎ变换公式推广到任意ｎ维的情况。同时结合ｎ维Ｒａｄｏｎ变换和摄动理论提出了一种既能用于地面资料又能用于ＶＳＰ资料的偏移方法。     

摄动求解Fréchet导数的电阻率层析成像方法

针对电阻率层析成像 ,比较了求解Fréchet导数的 4种方法 ,并提出摄动方法计算该导数 ,使得每一次迭代过程只计算一次正演。井间电阻率成像的数值模拟结果表明了该方法的稳定性和高效性 ,实际资料的处理证明了方法的有效性     

自转微椭、非均匀地球的潮汐变形

鉴于当前国际上关于自转微椭、非均匀地球（ＳＲＥＨＩ）的固体潮汐响应的结果之间存在明显分歧，特别是Ｌｏｖｅ数ｋ及重力潮汐因子δ对纬度的依赖情况截然不同，本文借助于摄动法与张量正则分量的广义球谐展开建立起来的侧向非均匀、自转微椭、粘弹地球的潮汐模拟理论，计算了ＳＲＥＨＩ地球的潮汐形变及相应的引力位变化．结果表明，描述径向位移的Ｌｏｖｅ数的纬度依赖部分系数ｈ＿＋与球对称部分ｈ＿０＋δｈ＿０之比不大于１．０‰；对Ｏ＿１波为０．２７‰；对Ｍ＿２波为０．１９‰；对Ｍ＿３波为０．４９‰；对Ｍ＿４波为０．８８‰．描述地球引力位变化的Ｌｏｖｅ数的纬度依赖部分系数ｋ＿＋与球对称部分ｋ＿０＋δｋ＿０之比小于３．０‰；对Ｏ＿１波为２．６７‰；对Ｍ＿２波为１．８９‰；对Ｍ＿３波为２．２４‰；对Ｍ＿４波为２．７０‰．