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11.
层状模型的理论频散曲线表明,层状模型表面瑞雷波同一频率对应的相速度具有多值特点,这就是所谓的瑞雷波多阶性. 面波的多阶性导致了实测频散曲线的复杂性,当地层中存在软弱夹层时这一问题尤为突出,从而给实测频散曲线的解释带来了困难. 本文从工程实用的角度出发,根据等效半空间理论,提出了一种计算理论频散曲线的新算法——改进的等效半空间法,避开了面波多阶性这一复杂问题. 由此方法计算得到的面波相速度并不同于某个具体阶数的面波,而是对多阶面波的综合反映. 按照改进的等效半空间法编制了拟合反演程序,并在工程中进行了运用,取得较好的效果. 相似文献
12.
Realistic numerical simulations of nonlinear internal waves (NLIWs) have been hampered by the need to use computationally expensive nonhydrostatic models. In this paper, we show that the solution to the elliptic problem arising from the incompressibility condition can be successfully approximated by a few terms (three at most) of an expansion in powers of the ratio (horizontal grid spacing)/(total depth). For an n dimensional problem, each term in the expansion is the sum of a function that satisfies a one-dimensional second-order ODE in the vertical direction plus, depending on the surface boundary condition, the solution to an n-1 dimension elliptic problem, an evident saving over having to solve the original n-dimensional elliptic problem. This approximation provides the physically correct amount of dispersion necessary to counteract the nonlinear steepening tendency of NLIWs. Experiments with different types of NLIWs validate the approach. Unlike other methods, no ad hoc artificial dispersion needs to be introduced. 相似文献
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对于在Rayleigh波勘探中经常提取到的多模式频散曲线,如何在理论上对其特征进行描述是一个很有意义的问题. 本文根据Rayeigh波频散方程中传递矩阵具有的高频近似特征,提出了传递矩阵的高频近似分解公式,据此导出了频散方程的高频近似分解公式,并在此基础上,定义了Rayleigh波的4种基本模式(R模、S模、R型周期模和S型周期模). 根据频散方程具有的周期性特征,给出了周期模频散曲线之间的平均间隔近似公式,以及在任意频率和相速度段内频散方程根的数目(即多模式的激发数目)的预测公式. 在这些结果的基础上,本文最后提出了频散方程数值搜根的一种新方法. 相似文献
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T. K. De 《Pure and Applied Geophysics》1985,123(1):43-58
A method is proposed for the determination of the dispersion equation of Love waves propagating in a homogeneous layer lying over a laterally inhomogeneous half-space. The proposed method can be made to work only when the lateral inhomogeneities in the lower half-space are finite in nature so that their Fourier transforms are available. As an illustration the dispersion equation of Love waves is obtained for one of such media in which the shear-wave velocity and the rigidity in the lower half-space either increases or decreases along the direction of propagation of waves according as the parameter of heterogeneity is positive or negative. 相似文献
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The purpose of this study is to quantify the dispersivity in the longitudinal direction by upscaling pore scale mixing over a network domain and to verify the dispersivity with that obtained through the more rigorous upscaling technique, the Brownian particle tracking model (BPTM). We model a porous medium with a network of pore-units that are comprised of pore bodies and bonds of finite volume. Such a pore-unit is assumed to be a mixing cell with the steady state flow condition for a single fluid. Dispersivity can be obtained by solving the mixing cell model (MCM) for the concentration in each pore-unit and by averaging the concentrations for a large number of pore units (as a function of time and space). A minimal size of network that ascertains an asymptotic value of dispersivity was determined and verified with large size pore networks. This numerically computed dispersivity is compared with the results from the BPTM for the same porous medium and flow conditions. We show that the dispersivity obtained from the MCM is equally reliable for the heterogeneous pore-networks and can be estimated as a function of pore size heterogeneity. For homogeneous networks with the MCM, the iteration time step plays an important role. On the other hand, for networks with the BPTM, the assumption of intra-bond velocity profile affects the results. 相似文献
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真实的TID一类大尺度电离层扰动是非平稳和色散的,而且是统计非单一的.本文首先给出了描述这种真实扰动场的数学模型,进而导出了联系台阵探测可测量与扰动场传播参量的观测方程,在此基础上提出了求解观测方程的时频分析方法.这一台阵探测数据分析的新方法,既能分离出非单一电离层扰动场中各种准单一扰动成分,又能获得准单一扰动成分传播参量随时间的演变和随频率的色散.分析实例表明,本文方法分辨率好,精度高,结果可靠,是适用于TID一类大尺度电离层扰动台阵探测数据分析的有效方法. 相似文献
20.
SHEN Huanting Institute of Esturaine Coastal Research East China Normal University Shanghai China LI Jiufa Institute of Esturaine Coastal Research East China Normal University Shanghai China ZHU Huifang Institute of Esturaine Coastal Research East China Normal University Shanghai China HAN Mingbao Institute of Esturaine Coastal Research East China Normal University Shanghai China ZHOU Fugen 《国际泥沙研究》1992,(3)
The Changjiang River is characterized by the enormous volume of runoff and the great amount of sediment load with remarkable seasonal variation. The annual runoff sometimes is respondent to the amount of sediment load, and sometimes not. The amount of monthly sediment load after the month of the maximum runoff is larger than those before the month. The sediment concentration and net quantity of sediment transport in the vicinity of the river mouth varies greatly in time between the ebb and flood, spring and neap, and dry seasons and flood seasons. The three bifurcations also have differences in concentration and net quantity in space. Even in the same bifurcation they have differences in and out of the sand bar. At present, the North Channel is the main passage for water and sediment load emptying into the sea from the Changjiang River. More than 50 percent of the sediments from the river basin are deposited nearby the South Branch entrance and the main depositional area is situated in subaqueous delta off the South Channel. Between 122°30'E and 123°E is an important boundary for eastward sediment dispersion from which the suspended sediment are dispersed towards the east by south. 相似文献