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1.
本文研究在初始应力作用下导热导电粘弹体内平面波的传播.首先导出有初始应力存在时电磁场、位移场、温度场所满足的基本方程然后用它研究了流体静压力或张力及单轴压或张的初始应力条件下,磁——热——粘弹平面波的传播特性.讨论了弱耦合情况下,热效应磁场对波传播特性的影响.在无初始应力存在并略去热、磁耦合效应时,所得结果变成经典的粘弹波结果.   相似文献   

2.
应力波作用下节理面前后电磁辐射强度的变化   总被引:2,自引:0,他引:2  
万国香  李夕兵 《地震学报》2009,31(4):411-423
从压电体中的压电本构方程出发,得到了含石英等压电介质岩体在应力波作用下产生的电场值的关系表达式.电磁辐射强度随电阻率增大而增大,随传播距离发生衰减.对于电阻率较大导电性能较差的岩石来说,压电电荷的贡献是足够引起重视的.利用所得到的表达式对实际地震电磁信号幅值进行了估算,所得结果与实测结果吻合.依据所得到的电场值的表达式及应力波在节理面处的透射解,获得了垂直入射应力波作用下产生的电磁波在线性变形节理面前后的强度关系.研究了节理参数、岩体电性参数以及入射波频率对节理面前后电磁辐射强度的影响.结果表明,电磁辐射的强度随节理初始刚度增大而增大;对于节理面两侧岩体性质不同的情形,从理论上讲,电磁辐射强度随单个参数的变化是明确的,但在多种参数的综合影响下,电磁辐射强度变化情况相对比较复杂.本文的理论计算结果与其它众多学者得出的实验结果一致.   相似文献   

3.
主要讨论了应力变化如何影响各向异性介质中波速度的问题。推导了一般各向异性介质在初始应力下的Christoffel方程,得到介质中3种波的相速度和初始应力的关系表达式;通过实验数据验证了单轴应力能够诱导各向异性,当施加单轴应力时,速度在沿应力的方向增加最大,在垂直应力的方向增加最小,实验结果与理论推导一致;用Christoffel方程的数值解模拟在3种对称情况下的弹性各向异性介质中初始应力对波速度的影响。数值结果表明:初始应力对各向异性介质中波传播速度的影响,随着各向异性强度的增加而增大,而且速度越慢,影响越大。  相似文献   

4.
线性粘弹体中地震波场伪谱法模拟技术   总被引:7,自引:5,他引:2       下载免费PDF全文
以积分本构方程为基础,应用对应原理建立线性粘弹体中的波动方程,采用伪谱法进行数值模拟.实际计算结果表明该方法能有效模拟标准线性粘弹体中地震波的传播.  相似文献   

5.
Geotail卫星于2003年5月15日在近地磁尾观测到磁场重联并穿越重联耗散区.卫星从尾向—南尾瓣一侧穿越磁场重联耗散区到地向—北尾瓣一侧的过程中,随着等离子体流反向,霍尔磁场(By) 被观测到.本文研究了该磁场重联耗散区内的低混杂波.观测结果显示,在磁场重联耗散区核心及其附近区域观测到在低混杂频率附近存在强烈的等离子体波动的增强,其传播方向主要垂直于背景磁场,该等离子体波动为低混杂波.前人的模拟结果认为,当磁场重联得到充分发展之前,低混杂波将消失.本文的观测结果充分说明,当磁场重联充分发展之后,在核心区域仍然存在增强的低混杂波,说明低混杂波贯穿磁场重联的整个发展过程.这种观测结果与计算机等离子体模拟的结果有所不同.本文的观测对低混杂波在磁场重联中的具体表现提供了新的观测证据并有可能修正前人的理论.  相似文献   

6.
相比于传统弹性波动方程,非对称弹性波动方程增加的独立自由项,包含有介质特征尺度参数.基于非对称弹性波动方程,可以分析弹性波传播中,由介质内微孔缝隙结构相互作用所导致的地震波传播尺度效应.本文从介质应变能密度函数出发,并结合几何方程和平衡方程,给出修正偶应力理论下的非对称弹性波动方程以及对应的非对称SH型横波波动方程的数学表达式,并在三层煤层模型上进行数值模拟,将检波器分别设置在地表和煤层中线,通过改变介质特征尺度参数值,合成地震记录,研究分析弹性波传播中,由介质内微孔缝隙结构相互作用所导致的尺度效应,对地震记录的影响及规律,并得出以下结论和认识:(1)非对称弹性波动方程模拟的弹性波传播表现出明显的尺度效应;(2)地震记录需要考虑介质内部多尺度的微孔缝隙相互作用的影响.  相似文献   

7.
地震波在粘弹介质中的传播及地形效应   总被引:1,自引:0,他引:1       下载免费PDF全文
朱元清  胡天跃 《地震学报》1991,13(4):442-449
本文应用有限元法研究了几种不规则地形及典型地质构造对粘弹波传播的影响.在SH 波和 P 波垂直入射的条件下,计算了各模型中地震波与地表的位移和加速度的最大振幅分布,同时讨论了它们在工程地震中的可能应用.  相似文献   

8.
张超  陈连旺 《地震学报》1991,13(4):450-461
本文应用有限元法研究了几种不规则地形及典型地质构造对粘弹波传播的影响.在SH 波和 P 波垂直入射的条件下,计算了各模型中地震波与地表的位移和加速度的最大振幅分布,同时讨论了它们在工程地震中的可能应用.   相似文献   

9.
分析了小变形情况下变形体的平动变形和转动变形,利用连续介质的动量和动量矩守恒方程,应用各向同性线弹性体的本构关系和偶应力本构关系,提出无限弹性介质中存在体积波(压力波)、旋转波(偶应力波)和偏斜波(偏斜应力波).旋转波和偏斜波均满足形式一致的四阶波动方程,但引起不同的运动学行为和应力状态,四阶旋转波和偏斜波的传播速度不再是依赖材料参数的常值.不计旋转变形时,各向同性弹性固体中只有体积波和二阶偏斜波的传播,这时传播速度均为常数.在3种波动模式中,体积波与传统弹性应力波理论完全一致,四阶偏斜波可退化为二阶偏斜波,但后者不同于传统应力波理论中以位移作为波函数的二阶剪切波.从变形运动学与内力的关系以及能量传播的角度分析了传统应力波理论中关于二阶旋转波和二阶剪切波存在的问题.  相似文献   

10.
蒋录珍  郭亚然  陈艳华 《地震工程学报》2017,39(6):1054-1061,1096
基于饱和两相介质弹性波动方程分析SV波在饱和土体自由表面的反射问题,引入波动方程的势函数解答,求解出二维问题中SV波入射情况下饱和土体自由场的位移、速度、加速度和应力响应。在饱和土体自由场响应解析解基础上,建立SV波入射下饱和土体自由场静、动力有限元模型。建模中考虑了如下几方面因素:(1)在不同分析步,对土体单元赋予不同材料本构。通过*model change命令进行单元生死设定,从而实现在初始应力场平衡的静力状态下采用DuncanChang本构模型,而地震波动输入时采用Davidenkov动力本构模型;(2)采用多孔介质黏弹性人工边界条件,在人工边界上分别施加固相和液相介质的弹簧和阻尼来模拟饱和土体中能量的传播;(3)将地震波转化为作用在人工边界上的等效地震荷载,施加到人工边界节点上;(4)土体单元采用4结点平面应变孔压单元(CPE4P)。有限元计算与解析解比较结果表明:SV波在垂直入射和掠入射时,竖向位移响应为零;在45°左右入射时,水平位移响应最大;60°左右入射时,竖向位移响应最大。这些结论与解析解吻合较好,本文模型为建立土-结构动力相互作用模型打下良好的基础。  相似文献   

11.
Summary The object of the present paper is to investigate magneto-elastic waves and disturbances in initially stressed conducting media. Firstly, the theory of magneto-elastic surface waves in a conducting medium under an initial uniaxial tension has been deduced and then it has been employed to investigate the particular cases of surface waves such as Rayleigh, Love and Stoneley waves. Secondly, propagation of waves in an elastic layer has been considered using the fundamental equations of motion for magneto-elastic waves in conductors under an initial uniaxial tension or compression. This is followed by the case of plane Lamb's problem in a magneto-elastic semi-space under the same initial tension. The final results obtained in the above cases are in agreement with the corresponding classical problems when the initial tension is zero and the magnetic field is absent.  相似文献   

12.
Summary Cauchy theory of initial stress has been applied to investigate the influence of uniform initial stress on the propagation of plane waves in an unbounded elastic medium. It is found that if the initial principal stresses are unequal, the velocity depends on the direction in which the wave propagates, whereas when the initial principal stresses are equal, the velocity is independent of the direction of wave propagation.  相似文献   

13.
Summary The introduction of precision radio navigation systems employing pulse techniques and the ever increasing interest in spherics have stimulated considerable interest in the propagation of the ground wave transient over the surface of the earth. The theory of the propagation of a transient radio frequency ground wave over a finitely conducting plane earth is presented for the particular case of theNorton surface wave by a consideration of a wave, interrupted abruptly at one point in time (t=0), a wave interrupted abruptly at two points in time (t=0,T 2) and a wave interrupted at one point in time followed by an exponential decay. The first case is illustrated by several numerical examples of a cosine current wave applied to a vertical electric dipole source. It is apparent that the method of the inverse aplace transform for the particular cases considered yields some simple mathematical formulas.  相似文献   

14.
张路  王威 《地震》1994,(2):20-27
运用固体传压介质岩石三轴试验装置模拟震源失稳振动过程,采取多点布设电阻应变片的方法,对试件突发失稳振动行为及其在试件-压机系统中的传播过程进行观测,测试结果为:应力振动的初动半周期平均约为0.11ms,与岩石类型,周压及应力降等因素无关,振幅逐渐衰减;在试件-压机系统中,振动波从试件错动面处向外传播,其速度约为3.30m/ms;在失稳初动半周期内,振动波向试件以上传播的距离为363mm,传播的范围  相似文献   

15.
During the occurrence of earthquake, the shear wave propagates in the rocks present inside/at the Earth’s crust. The propagation of shear wave may lead to the progression of punch present inside the rock medium. As a result of this, substantial stress accumulated at the vicinity of propagating punch inside rock medium which significantly affects the stability of various geological and human-made structure and, hence, may cause failure of structure. Therefore, the analysis of stress concentration at the vicinity of punch moving due to shear wave propagation has become prominent in the area of seismology. In the present paper, an analytical perspective has been employed to discuss the influence of velocity of moving punch associated with the propagation of shear wave on developed dynamic stress concentration (DSC) in three types of pre-stressed vertical transversely isotropic (VTI) poroelastic media viz. granite (an igneous rock); sandstone (a sedimentary rock); and marble (a metamorphic rock). The closed form expression of DSC for the force of constant intensity has been derived with the aid of Weiner-Hopf technique along with Galilean and two-sided Fourier integral transformations. The noticeable influence of different affecting parameters (viz. velocity of moving punch associated with the shear wave propagation, horizontal compressive/tensile initial stresses, vertical compressive/tensile initial stress, porosity, and anisotropy parameter) on dynamic stress concentration has also been reported. Numerical computation and graphical illustrations have been carried out for the aforementioned three different types of porous rocks to investigate the profound impact of affecting parameters on DSC. Moreover, some noteworthy peculiarities have also been derived from the obtained expression of dynamic stress concentration.  相似文献   

16.
Summary The effects of a uniform external magnetic field on the propagation of waves in a homogeneous, infinitely conducting flat plate with free boundaries have been studied. It has been found that in general all the three types of waves —P, SV andSH waves—are coupled and the influence may be more pronounced in coupling the symmetric and antisymmetric types of motions in every mode.When the magnetic field is parallel to the plane faces and transverse to the direction of wave propagation, the shear wave polarized parallel to the field is purely elastic whereas the coupledP andS V waves are magnetoelastic and exhibit dispersion strikingly similar to the non-magnetic case, provided the electro-magnetic radiation into the surrounding free space is neglected.The results reported in an earlier communication [1]2) are also confirmed.  相似文献   

17.
The analysis of Stoneley wave propagation in a fracture is essential for the identification and evaluation of fracture parameters from the borehole Stoneley wave. Also, it is important for many geophysics considerations, e.g. for tremor and long-period events observed in volcanoes and geothermal areas. In this paper, we investigate the guided waves propagation in a fluid layer lying between two viscoelastic vertically transversely isotropic media. The viscoelastic mechanism models the attenuation due to the presence of fluid saturation in the rock. A model based on the superposition of three inhomogeneous partial plane waves: one in the fluid and two heterogeneous waves in the solid is developed. The dispersion equation is obtained for this case. A numerical solution is carried out to obtain the guided wave velocity and attenuation coefficient. The results of this investigation show that there is a strong correlation between the velocity dispersion and attenuation of Stoneley wave and the anisotropic parameters of the medium especially in a sandstone (fast) medium.  相似文献   

18.
波在飽水孔隙弹性介貭中的传播   总被引:3,自引:0,他引:3       下载免费PDF全文
一、引言弹性体中波的传播問題迄今已有較广泛的研究.对飽水孔隙弹性介貭中波的传播問題研究的尚少。但此种問題在地球物理、地震、土木工程和声学等研究中均有重要意义.  相似文献   

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