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1.
In many areas of engineering practice, applied loads are not uniformly distributed but often concentrated towards the centre of a foundation. Thus, loads are more realistically depicted as distributed as linearly varying or as parabola of revolution. Solutions for stresses in a transversely isotropic half‐space caused by concave and convex parabolic loads that act on a rectangle have not been derived. This work proposes analytical solutions for stresses in a transversely isotropic half‐space, induced by three‐dimensional, buried, linearly varying/uniform/parabolic rectangular loads. Load types include an upwardly and a downwardly linearly varying load, a uniform load, a concave and a convex parabolic load, all distributed over a rectangular area. These solutions are obtained by integrating the point load solutions in a Cartesian co‐ordinate system for a transversely isotropic half‐space. The buried depth, the dimensions of the loaded area, the type and degree of material anisotropy and the loading type for transversely isotropic half‐spaces influence the proposed solutions. An illustrative example is presented to elucidate the effect of the dimensions of the loaded area, the type and degree of rock anisotropy, and the type of loading on the vertical stress in the isotropic/transversely isotropic rocks subjected to a linearly varying/uniform/parabolic rectangular load. Copyright © 2002 John Wiley & Sons, Ltd. 相似文献
2.
Václav Vavryčuk 《Pure and Applied Geophysics》1994,143(4):563-586
Complete relations are derived for energy and energy flux of elastic waves generated by an isotropic and double-couple source in a perfectly elastic, homogeneous, isotropic, and unbounded medium. In the energy balance of elastodynamic sources near-field waves play an essential role, transforming static energy into wave energy, andvice versa. For explosive and dislocation sources, the sources surface radiates a positive wave energy that is partially distributed to the medium transforming into static energy. For implosive and antidislocation sources, the source surface generates elastic waves, but it does not necessarily imply that it also radiates a positive wave energy. The energy transported by waves can originate in gradual transformation of the static-to-wave energy during propagation of waves through a stressed medium.On leave from Geophysical Institute, Czech Academy of Sciences, Boní II/1401, 41 31, Praha 4 Czech Republic 相似文献
3.
粘粒含量对南京粉细砂液化影响的试验研究 总被引:16,自引:1,他引:16
南京粉细砂是一种以片状颗粒成分为主的粉细砂,与通常的圆形颗粒石英砂有一定区别,片状颗粒成分使得南京粉细砂具有各向异性的性质。通过对不同粘粒含量的南京粉细砂进行液化试验,分析其试验结果发现:对于粘粒含量ρc=5%、10%和15%三种情况,在均压固结情况下,当南京粉细砂达到初始液化时,采用变形标准和孔压标准是一致的;而偏压固结时,只能采用变形标准作为南京粉细砂达到初始液化的标准,此时振动孔压仅达到围压的50%-70%。粘粒含量对南京粉细砂的抗液化强度影响很大,随粘粒含量增加,在不同固结比时,其抗液化强度并不是单调变化,而是在粘粒含量ρc=10%左右处于一个低谷,其抗液化强度最低。 相似文献
4.
5.
Tensionless–frictionless interaction of flexible annular foundation with a transversely isotropic multi‐layered half‐space
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Morteza Eskandari‐Ghadi Ghasem Gorji‐Bandpey Azizollah Ardeshir‐Behrestaghi Seyed Masoud Nabizadeh 《国际地质力学数值与分析法杂志》2015,39(2):155-174
A transversely isotropic multi‐layered half‐space, with axis of material symmetry perpendicular to the free surface, supports a flexible either annular or solid circle foundation. The contact area of the foundation and the half‐space is considered to be both frictionless and tensionless. The foundation is assumed to be affected by a vertical static axisymmetric load. Detailed analysis of the interaction of these two systems with different thickness of layers is the target of this paper. With the use of ring load Green's functions for both the foundation and the continuum half‐space, an integral equation accompanied with some inequalities is introduced to model the complex BVP. With the incorporation of ring‐shape FEM, we are capable of capturing both regular and singular solution smoothly. The validity of the combination of the analytical and numerical method is proved with comparing the results of this paper with a number of benchmark cases of both linear and nonlinear interaction of circular and annular foundation with half‐space. Some new illustrations are presented to portray the aspect of the anisotropy and layering of the half‐space. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
6.
This paper presents the closed‐form solutions for the elastic fields in two bonded rocks induced by rectangular loadings. Each of the two bonded rocks behaves as a transversely isotropic linear elastic solid of semi‐infinite extent. They are completely bonded together at a horizontal surface. The rectangular loadings are body forces along either vertical or horizontal directions and are uniformly applied on a rectangular area. The rectangular area is embedded in the two bonded rocks and is parallel to the horizontal interface. The classical integral transforms are used in the solution formulation, and the elastic solutions are expressed in the forms of elementary harmonic functions for the rectangular loadings. The stresses and displacements in the rocks induced by both the horizontal and vertical body forces are also presented. The numerical results illustrate the important effect of the anisotropic bimaterial properties on the stress and displacement fields. The solutions can be easily implemented for numerical calculations and applied to problems encountered in rock mechanics and engineering. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
7.
8.
Dispersion of Rayleigh-type surface wave is studied in a homogeneous transversely isotropic elastic layer overlying a nondissipative liquid-saturated porous solid half-space and lying under a uniform layer of homogeneous liquid. The frequency equation in the form of ninth-order determinant is obtained.Special cases have been deduced by reducing the depth of the layers to zero and by changing the transverse isotropic layer to an isotropic layer. Dispersion curves for the phase velocity have been plotted for a particular model. 相似文献
9.
横向各向同性介质中的弹性波方程逆时偏移及其成像条件 总被引:1,自引:3,他引:1
作者在本文中导出了在横向各向同性介质情况下,二维弹性波逆时传播的高阶差分格式,实现了弹性波在数值空间中的逆时延拓,从snell定量出发,采用插值法求取网格空间中各点的直达波旅行时,以此作为弹性波逆时偏移的成像条件,实现多波多分量资料的逆时偏移,数值试验表明,逆时偏移能够使地表接收到的波场准确归位,提高资料处理的精度。 相似文献
10.
Seismic Moment Tensor Resolution on a Local Scale: Simulated Rockburst and Mine-induced Seismic Events in the Kopanang Gold Mine, South Africa 总被引:2,自引:0,他引:2
Seismic records contain information about the effect of the source as well as the effect of wave propagation through the rock
mass. The effect of wave propagation is usually not well known as only simplified models of geological structures are available.
Therefore, the information about the source retrieved by inverting seismograms may include errors due to incomplete knowledge
of the rock mass along the propagation path, which in turn cause a distortion in the calculated moment tensor (MT). The distortion
of the MT on a local scale was observed by inverting records of a simulated rockburst conducted at the Kopanang gold mine
in South Africa. A dominant isotropic component of the explosive characteristics was found from the inversion. The deviatoric
components retrieved from the blast are spurious. A test of their stability indicated that they are not significant, assuming
an uncertainty above 5% for velocities and 10% for attenuation within the homogeneous model available for the mine. Thus,
the retrieval of the MT from records of local networks in mines using a homogeneous model of the rock mass seems to be feasible.
However, the homogeneous model of the rock mass can only be applied to close stations, within a few kilometers of the source.
The seismic records from distant stations were too complex to be modelled by a homogeneous rock mass. Records of six mine-induced
seismic events recorded at the Kopanang gold mine were also inverted. A vertical linear dipole along the pressure (P) axis
was found for three of the events, suggesting a pillar burst. The mechanism of two events contains an isotropic implosion
together with a nearly vertical dip-slip, and seems to indicate a combination of a cavity collapse with a down dip-slip along
a nearly vertical fault. One event corresponds to a dipole along the tensional (T) axis. However, it is vertical, thus its
association with tensile faulting of the hangingwall is uncertain. 相似文献