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1.
In this paper, the frequency domain dynamic response of a pile embedded in a porous medium subjected to SH seismic waves is investigated. The surrounding porous medium of the pile is described by Biot’s poro-elastic theory, while the pile embedded in the porous medium is treated as a beam and described by a beam vibration theory. Using the Hankel transformation method, the fundamental solution for a half-space porous medium subjected to a horizontal circular patch load is established. According to the fictitious pile methodology, the second kind of Fredholm integral equation for the pile is established in terms of the obtained fundamental solution and free wave field. The solution of the integral equation yields the dynamic response of the pile to plane SH waves. Numerical results indicate that the parameters of the porous medium, the pile and incident waves have considerable influences on the dynamic response of the pile and the porous medium. 相似文献
2.
In this paper, frequency domain dynamic response of a pile embedded in a half‐space porous medium and subjected to P, SV seismic waves is investigated. According to the fictitious pile methodology, the problem is decomposed into an extended poroelastic half‐space and a fictitious pile. The extended porous half‐space is described by Biot's theory, while the fictitious pile is treated as a bar and a beam and described by the conventional 1‐D structure vibration theory. Using the Hankel transformation method, the fundamental solutions for a half‐space porous medium subjected to a vertical or a horizontal circular patch load are established. Based on the obtained fundamental solutions and free wave fields, the second kind of Fredholm integral equations describing the vertical and the horizontal interaction between the pile and the poroelastic half‐space are established. Solution of the integral equations yields the dynamic response of the pile to plane P, SV waves. Numerical results show the parameters of the porous medium, the pile and incident waves have direct influences on the dynamic response of the pile–half‐space system. Significant differences between conventional single‐phase elastic model and the poroelastic model for the surrounding medium of the pile are found. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
3.
We consider the problem of penetrative convection in the upper ocean under the conditions of sharp surface cooling and a constant
momentum flux connected with the existing system of random waves. The Langevin equation with a random right part is used to
describe a convective ensemble of thermals. The kinetic Fokker-Planck equation is built for the angular probability density
of an ensemble of convective elements. The stationary solution of this equation allows one to find an analogue of the Boltzman
distribution for convective currents over speed and height. The Maxwell speed distribution is implemented in this case for
convective thermals at a fixed depth. The results allow interpretation of certain data on turbulence in the convective near-surface
ocean layer. 相似文献
4.
5.
R. Siddharthan 《国际地质力学数值与分析法杂志》1987,11(2):155-170
The stability and deformation of the seafloor in response to storm wave loading is an important consideration in the design of pipelines, anchors, and offshore structures such as gravity-and pile-supported platforms. Two quite different approaches have been proposed for investigating the effects of storm waves on seafloor sands. These approaches derive from quite different considerations of soil-water interaction. In one of these approaches (exemplified by Yamamoto and Madsen) the seafloor is visualized to be a porous elastic or Coulomb-damped porous nonlinear medium. In this approach, the response of the seafloor, i.e. the displacements, stresses and porewater pressures, are computed for a given wave. The response is transient and is, therefore, related to the largest wave in the storm wave group. On the other hand, in the approach proposed by Seed and Rahman, only the development of residual porewater pressures (for estimating liquefaction potential) due to the storm wave group are considered. The effects of transient porewater pressures and stresses on the seafloor sands are ignored. The residual porewater pressures are computed using properties based on initial effective stresses through a porewater generation-dissipation model. The application of these techniques to problems of offshore structures such as pile-supported platforms has led to considerable uncertainty and confusion. In this paper, both of these approaches are combined to investigate seafloor response to a storm wave group. For typical storm wave conditions that exist in the North Sea, it appears that the inclusion of damping, inertia and anisotropic permeabilities in the study is not important relative to ocean sands. Parametric studies show that, for a given wave, the thickness and the stiffness properties of the soil deposit dictate the response of the deposit. The displacements in the deposit are, therefore, affected by the generation of residual porewater pressures. 相似文献
6.
This paper develops a semi-analytical solution for the transient response of an unsaturated single-layer poroviscoelastic medium with two immiscible fluids by using the Laplace transformation and the state-space method. Using the elastic–viscoelastic correspondence principle, we first introduce the Kelvin–Voigt model into Zienkiewicz’s unsaturated poroelastic model. The vibrational response for unsaturated porous material can be obtained by combining these two models and assuming that the wetting and non-wetting fluids are compressible, the solid skeleton and solid particles are viscoelastic, and the inertial and mechanical couplings are taken into account. The Laplace transformation and state-space method are used to solve the basic equations with the associated initial and boundary conditions, and the analytical solution in the Laplace domain is developed. To evaluate the responses in the time domain, Durbin’s numerical inverse Laplace transform method is used to obtain the semi-analytical solution. There are three compressional waves in porous media with two immiscible fluids. Moreover, to observe the three compressional waves clearly, we assume the two immiscible fluids are water and oil. Finally, several examples are provided to show the validity of the semi-analytical solution and to assess the influences of the viscosity coefficients and dynamic permeability coefficients on the behavior of the three compressional waves. 相似文献
7.
Zhendong Shan Daosheng Ling Zhinan Xie Liping Jing Yongqiang Li 《国际地质力学数值与分析法杂志》2019,43(13):2184-2199
One-dimensional transient wave propagation in a saturated single-layer porous medium with a fluid surface layer is studied in this paper. An analytical solution for a special case with a dynamic permeability coefficient kf → ∞ and a semianalytical solution for a general case with an arbitrary dynamic permeability coefficient are presented. The eigenfunction expansion and precise time step integration methods are employed. The solution is presented in series form, and thus, the long-term dynamic responses of saturated porous media with small permeability coefficients can be easily computed. We first transform the nonhomogeneous boundary conditions into homogeneous boundary conditions, and then we obtain the eigenvalues and orthogonal eigenfunctions of the fluid–solid system. Finally, the solutions in the time domain are developed. As the model is one dimensional, geometric attenuation is absent, and only the attenuation in the saturated porous medium is considered. We can apply this model to analyse the influences of different seabed types on the propagation of acoustic waves in the fluid layer, which is very important in ocean acoustics and ocean seismic. This solution can also be employed to validate the accuracies of various numerical methods. 相似文献
8.
P. C. Hsieh 《国际地质力学数值与分析法杂志》2006,30(12):1201-1212
In many instances soils can be assumed to behave like viscoelastic materials during loading/unloading cycles, and this study is aimed at setting up a viscoelastic model to investigate the dynamic response of a porous soil layer of finite thickness under the effect of periodically linear water waves. The waves and homogeneous water are described by potential theory and the porous material is described by a viscoelastic model, which is modified from Biot's poroelastic theory (1956). The distributions of pore water pressures and effective stresses of various soils such as silt, sand, and gravel are demonstrated by employing the proposed viscoelastic model. The discrepancies of the dynamic response between the simulations of viscoelastic model and elastic model are found to be strongly dependent on the wave frequency. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
9.
The one-dimensional transient response of unsaturated single-layer porous media is studied based on the theory of unsaturated porous media proposed by Zienkiewicz et al., and exact time-domain solutions are obtained for three types of nonhomogeneous boundary conditions. During the solution procedure, the nonhomogeneous boundary conditions are transformed into homogeneous boundary conditions. Then, the eigenfunction expansion method is utilised to obtain the exact solutions for these new boundary conditions. Several numerical examples are provided to investigate the propagation of compressional waves, and it is verified that three types of compressional waves exist in unsaturated porous media that contain two immiscible fluids. 相似文献
10.
Cappello Claudia De Iaco Sandra Maggio Sabrina Posa Donato 《Mathematical Geosciences》2021,53(5):999-1025
Surface ocean currents are often of interest in environmental monitoring. These vectorial data can be reasonably treated as a finite realization of a complex-valued random field, where the decomposition in modulus (current speed) and direction (current direction) of the current field is natural. Moreover, when observations are also available for different time points (other than at several locations), it is useful to evaluate the evolution of their complex correlation over time (rather than in space) and the corresponding modeling which is required for estimation purposes. This paper illustrates a first approach where the temporal profile of surface ocean currents is considered. After introducing the fundamental aspects of the complex formalism of a random field indexed in time, a new class of models suitable for including the temporal component is proposed and applied to describe the time-varying complex covariance function of current data. The analysis concerns ocean current observations, taken hourly on 30 April 2016 through high frequency radar systems at some stations located in the Northeastern Caribbean Sea. The selected complex covariance model indexed in time is used for estimation purposes and its reliability is confirmed by a numerical analysis.
相似文献11.
波浪作用下某防沙堤的动力固结有限元分析 总被引：1，自引：0，他引：1
基于饱和土动力固结理论,采用SWANDYNE II有限元分析,程序预测一个梯形沉箱防沙堤在某设计波浪作用下的响应。采用Pastor-Zienkiwicz Mark III广义塑性模型模拟了海床土的循环应力-应变行为。通过动三轴试验,确定了主要的模型参数,分析中只考虑了波浪对结构的作用,忽略行波对海床表面的作用。动力固结有限元分析的结果定性上与常规的拟静力极限平衡分析方法一致,有限元分析定量给出了体系的位移、应力、孔隙水压力分布和结构位移随波浪持续时间的累积过程,其研究结果初步展现了动力固结有限元方法在近海和海岸岩土工程领域的广阔应用前景。 相似文献
12.
波浪在斜坡沙质海床上破碎会加剧泥沙输移导致海床形态变化,研究破碎波作用下沙质海床形态变化机制对于岸滩演变分析极为重要。在波浪水槽中采用中值粒径0.47 mm原型沙铺设1∶20坡度的底床模型进行试验研究,测量不同波浪条件下床面形态和沙坝顶端悬浮泥沙浓度变化。通过测量和计算破碎带输沙率、沙坝尺度和沙坝移动速度,分析破碎波作用下沙质斜坡海床上床面形态变化规律。试验结果表明,破碎带沙坝顶端的悬浮泥沙浓度与水深和底部床面密切相关,在形成沙坝和沙坝水平方向移动时,悬浮泥沙浓度较大;斜坡上沙坝前后来回运动的周期大小具有随机性,沙坝既有向岸又有离岸移动;在多组波长时间作用后沙坝尺度趋于稳定,底床净输沙量趋于0。 相似文献
13.
建立了波浪、底部离岸流、泥沙运动和沙滩剖面演变耦合数学模型,模拟了实验室中波浪作用下沙坝剖面的形成过程,讨论了各个物理参数对剖面上的水动力和地形变化的影响。通过参数率定,较好地复演了不规则波作用下沙滩地形由均匀斜坡向沙坝剖面的演变,波高、底部离岸流、输沙率和剖面演变的计算结果与实测数据吻合良好。采用数值实验和误差分析方法,讨论了破碎波水滚倾角、泥沙扩散系数和床面休止角等物理参数对计算结果的影响。研究表明,所建立的模型能较好地描述波浪作用下沙坝剖面形成过程中的重要物理机制。 相似文献
14.
15.
金龙山金矿床矿源层特征 总被引：1，自引：0，他引：1
金龙山金矿床产于秦岭元古宙－晚古生代海槽特殊有限洋盆之中，矿床赋存于上泥盆统南羊山组和下石炭统袁家沟组，该层位金丰度度，认为赋矿层位为矿源层。通过对矿源层沉积区域地质环境，地层岩石组合，岩相结合，沉积地球化学诸特征分析，以揭示矿源层是在动荡海盆环境下喷流沉积作用的结果，构造，火山热液活动是金矿源层形成根本原因 相似文献
16.
E. S. Bazilevskaya 《Doklady Earth Sciences》2009,429(2):1417-1419
This work is devoted to some problems of the genesis, chemical composition, and forming rates of iron-manganese ores (IMOs)
in the ocean bed due to real outlooks of their development in the years 2015–2020. It is particularly accentuated that ores
are continuously originating on the ocean bed with rates of several millimeters per million years. IMO accumulation in modern
oceans is greatly more than the age of the mobile ocean bed. These unique ores are not only sorbents of some strategic microelements,
but also store easily mobilized oxygen, which is able to supersaturate water in endogenic processes on the ocean bed, blocking
their expansion in a limited volume. Thus, iron-manganese ores must be mined only with nonpolluting methods and under the
control of competent authorities. 相似文献
17.
《Computers and Geotechnics》1987,3(1):21-28
The response of a saturated porous medium is treated from a wave propagation point of view. Well-known processes such as consolidation, fluidization and stationary flow are derived from the proposed model as limiting cases. Pore pressures and skeleton strains due to pore pressure impulse loading at the boundary of a semi-infinite porous medium are discussed. 相似文献
18.
This paper presents the results of theoretical investigation on the dynamic coupling of an ideal fluid‐porous medium‐elastic half‐space system subjected to SV waves to study the effect of sediment on the seismic response of dams for reservoirs that are deposited with a significant amount of sediment after a long period of operation. The effects of the porous medium and the incident wave angle on dynamic pressures in the overlying ideal fluid are analyzed, and the reflection and transmission coefficients of the wave at the material interfaces are derived using an analytical solution in terms of displacement potentials. The numerical test of modeling shows that the dynamic pressures significantly depend on the properties of porous medium. The fully saturated porous medium reduces the response peaks slightly, while the partially saturated porous medium causes a considerable increase in the resonance peaks. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
19.
Horizontal lamination and the sequence of bed phases and stratification under upper-flow-regime conditions 总被引：4，自引：0，他引：4
R. J. CHEEL 《Sedimentology》1990,37(3):517-529
20.
M D Sharma 《Journal of Earth System Science》2018,127(1):7
Propagation of surface waves is discussed in a cylindrical borehole through a liquid-saturated porous solid of infinite extent. The porous medium is assumed to be a continuum consisting of a solid skeletal with connected void space occupied by a mixture of two immiscible inviscid fluids. This model also represents the partial saturation when liquid fills only a part of the pore space and gas bubbles span the remaining void space. In this isotropic medium, potential functions identify the existence of three dilatational waves coupled with a shear wave. For propagation of plane harmonic waves along the axially-symmetric borehole, these potentials decay into the porous medium. Boundary conditions are chosen to disallow the discharge of liquid into the borehole through its impervious porous walls. A dispersion equation is derived for the propagation of surface waves along the curved walls of no-liquid (all gas) borehole. A numerical example is studied to explore the existence of cylindrical waves in a particular model of the porous sandstone. True surface waves do not propagate along the walls of borehole when the supporting medium is partially saturated. Such waves propagate only beyond a certain frequency when the medium is fully-saturated porous or an elastic one. Dispersion in the velocity of pseudo surface waves is analysed through the changes in consolidation, saturation degree, capillary pressure or porosity. 相似文献