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1.
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In this paper, the method of small perturbations is applied to the ray and energy transport equations in an investigation of the effect of weak inhomogeneities on the propagation of seismic rays through a layer of fixed thickness. Just as Aki et al . have used travel-time residuals to infer first-order velocity perturbations in their block-modelling procedure, it is proposed that surface slowness and amplitude data may be used to give additional information about the structure of the velocity perturbations beneath the observer.  相似文献   

2.
Summary. An analytical model of one-dimensional long wave propagation is developed for a wedge-shaped estuary, with bottom friction included in the momentum equation. The model is applied to the M2 tidal propagation in the Bristol Channel. It appears to represent the amplitude and phase of both elevation and velocity better than the earlier models of Taylor and Bennett. Estimates of energy flux into the estuary are seen to depend critically on the boundary conditions chosen to tune the model. Conditions at Spring and Neap tides are also reproduced by the analytical solution, and the response of the tides to the introduction of a solid barrier at different location is evaluated using the model.  相似文献   

3.
Continuous GPS (CGPS) coordinate time-series are known to experience repeating deformation signals with seasonal and other periods. It is unlikely that these signals represent perfect sinusoids with temporally constant amplitude. We develop an analysis method that accommodates temporal variations in the amplitudes of sinusoidal signals. We apply the method to simulated coordinate time-series to numerically explore the potential consequences of neglecting decadal variation in amplitude of annual motions on the residual-error spectra of CGPS measurements, as well as potential bias in estimates for secular site velocity. We find that secular velocity bias can be appreciable for shorter time-series, and that residual-error time-series of longer duration may contain significant power in a broad band centred on semi-annual frequency if temporal variation in the amplitude of annual motions is not accounted for in the model used to reduce the observations to residuals. It may be difficult to differentiate the bandpass filtered signature of mismodelled loading signals from power-law noise, using residual-error spectra for shorter time-series. We provide an example application to a ∼9-yr coordinate time-series for a CGPS station located in southern California at Carbon Creek Control Structure (CCCS), which is known to experience large amplitude seasonal motions associated with the Santa Ana aquifer system.  相似文献   

4.
Inversion of seismic attributes for velocity and attenuation structure   总被引:1,自引:0,他引:1  
We have developed an inversion formuialion for velocity and attenuation structure using seismic attributes, including envelope amplitude, instantaneous frequency and arrival times of selected seismic phases. We refer to this approach as AFT inversion for amplitude, (instantaneous) frequency and time. Complex trace analysis is used to extract the different seismic attributes. The instantaneous frequency data are converted to t * using a matching procedure that approximately removes the effects of the source spectra. To invert for structure, ray-perturbation methods are used to compute the sensitivity of the seismic attributes to variations in the model. An iterative inversion procedure is then performed from smooth to less smooth models that progressively incorporates the shorter-wavelength components of the model. To illustrate the method, seismic attributes are extracted from seismic-refraction data of the Ouachita PASSCAL experiment and used to invert for shallow crustal velocity and attenuation structure. Although amplitude data are sensitive to model roughness, the inverted velocity and attenuation models were required by the data to maintain a relatively smooth character. The amplitude and t * data were needed, along with the traveltimes, at each step of the inversion in order to fit all the seismic attributes at the final iteration.  相似文献   

5.
Summary The coherence of atmospheric acoustic-gravity waves has been measured in the period range 10–100 s at the Large Aperture Microbarograph Array in south-eastern Montana. The acoustic-gravity waves observed were signals generated by presumed nuclear explosions. The decrease of coherence with increasing distance between pairs of microbarographs is less rapid in the direction of wave propagation than transverse to it. Variation of direction of arrival over a small range of azimuth (±5°) explains the spatial behaviour of coherence in the direction normal to the wave propagation; variation of phase velocity of ±10 ms-1 explains the behaviour along the direction of wave propagation. Both effects may be due to inhomogeneities in the atmosphere; the velocity variation may be due to the presence in the signal of several normal modes of acoustic- gravity waves, each travelling at a slightly different phase velocity in the range 300–330 ms-1.  相似文献   

6.
Geometric ray theory is an extremely efficient tool for modelling wave propagation through heterogeneous media. Its use is, however, only justified when the inhomogeneity satisfies certain smoothness criteria. These criteria are often not satisfied, for example in wave propagation through turbulent media. In this paper, the effect of velocity perturbations on the phase and amplitude of transient wavefields is investigated for the situation that the velocity perturbation is not necessarily smooth enough to justify the use of ray theory. It is shown that the phase and amplitude perturbations of transient arrivals can to first order be written as weighted averages of the velocity perturbation over the first Fresnel zone. The resulting averaging integrals are derived for a homogeneous reference medium as well as for inhomogeneous reference media where the equations of dynamic ray tracing need to be invoked. The use of the averaging integrals is illustrated with a numerical example. This example also shows that the derived averaging integrals form a useful starting point for further approximations. The fact that the delay time due to the velocity perturbation can be expressed as a weighted average over the first Fresnel zone explains the success of tomographic inversions schemes that are based on ray theory in situations where ray theory is strictly not justified; in that situation one merely collapses the true sensitivity function over the first Fresnel zone to a line integral along a geometric ray.  相似文献   

7.
Finite-frequency sensitivity kernels for head waves   总被引:2,自引:0,他引:2  
Head waves are extremely important in determining the structure of the predominantly layered Earth. While several recent studies have shown the diffractive nature and the 3-D Fréchet kernels of finite-frequency turning waves, analogues of head waves in a continuous velocity structure, the finite-frequency effects and sensitivity kernels of head waves are yet to be carefully examined. We present the results of a numerical study focusing on the finite-frequency effects of head waves. Our model has a low-velocity layer over a high-velocity half-space and a cylindrical-shaped velocity perturbation placed beneath the interface at different locations. A 3-D finite-difference method is used to calculate synthetic waveforms. Traveltime and amplitude anomalies are measured by the cross-correlation of synthetic seismograms from models with and without the velocity perturbation and are compared to the 3-D sensitivity kernels constructed from full waveform simulations. The results show that the head wave arrival-time and amplitude are influenced by the velocity structure surrounding the ray path in a pattern that is consistent with the Fresnel zones. Unlike the 'banana–doughnut' traveltime sensitivity kernels of turning waves, the traveltime sensitivity of the head wave along the ray path below the interface is weak, but non-zero. Below the ray path, the traveltime sensitivity reaches the maximum (absolute value) at a depth that depends on the wavelength and propagation distance. The sensitivity kernels vary with the vertical velocity gradient in the lower layer, but the variation is relatively small at short propagation distances when the vertical velocity gradient is within the range of the commonly accepted values. Finally, the depression or shoaling of the interface results in increased or decreased sensitivities, respectively, beneath the interface topography.  相似文献   

8.
南极绕极波(ACW)是近10年来海洋和大气科学领域研究的重要内容之一,其特征表现为一种海气耦合的年际信号在南大洋的明显东向传播。文中依据波动的基本原理,利用非线性拟合方法得到了绕极波行波的平均波速、波数和角频率和印度洋驻波的表达形式,得出行波和驻波具有相同的角频率。针对绕极波纬圈传播的不连续现象,提出了南极绕极波是行波和驻波共存系统的新见解。行波与驻波共存系统由三部分组成:在南大洋的太平洋西侧发生SLP振动,与发生在太平洋中低纬度的过程有关;在太平洋和大西洋存在传播的行波,行波在太平洋最强,到大西洋明显减弱;在印度洋SLP系统表现为局地变化,体现明显的驻波特征。三部分有共同的周期,表明三部分是统一的动力学系统,证实了行波与驻波共存系统可以很好地表达南极绕极波的时空特性和传播特征。  相似文献   

9.
李宜振  赵进平 《极地研究》2006,17(2):100-110
The Antarctic circumpolar wave(ACW)has become a focus of the air-sea coupled Southern Ocean study since 1996,when it was discovered as an air-sea coupled interannual signal propagating eastward in the region of the Antarctic C i rcumpolar Current(ACC).In order to analyze the mechanism of discontinuity alon g the latitudinal propagation,a new idea that ACW is a system with a traveling wave in the Southern Pacific and Atlantic Ocean and with a concurrent standing w ave in the southern Indian Ocean is proposed in this paper.Based on the ideal w ave principle,the average wave parameters of ACW is achieved using a non-linea r approximation method,by which we find that the standing part and the travelin g part possess similar radius frequency,proving their belonging to an integral s ystem.We also give the latitudinal distribution of wave speed with which we cou ld tell the reason for steady propagation during the same period.The spatial di stribution of the propagation reveals complex process with variant spatial and t emporal scales—The ENSO scale oscillation greatly impacts on the traveling process,while the result at the south of Australia indicates little connection betw een the Indian Ocean and the Pacific,which may be blocked by the vibration at t he west of the Pacific.The advective effect of ACC on the propagation process s hould be examined clearly through dynamical method.  相似文献   

10.
This paper presents the development of a 2.5-D simulation technique for acoustic wave propagation in media with variable density and velocity. A comparative study of the 2-D and 2.5-D responses of a model reveals the spatially and temporally damped nature of the 2.5-D acoustic wave equations. The simulated results for constant and variable density models show that the density variation affects only the reflectivity of the layer. The computational cost for variable density models is 2.17 and 2.26 times that for constant density models for the 2.5-D and 2-D cases, respectively. Furthermore, the 2.5-D computational cost in the time domain is only about 10–15 per cent more than that for two dimensions, so this modest increase in computational cost can avoid the exorbitant 3-D computational cost.
Snapshots for a crosshole geometry were computed at various times in order to study the effect of heterogeneity on the amplitude and shape of the wave front. Extensive analysis of an oil-bearing reservoir with and without the inclusion of a gas zone was performed using a point source as well as multiple sources. In addition, the effects of the thickness of a low-velocity layer (oil-bearing) and of the location of the source have been studied. It is concluded from the numerical response that the waveguide action of the low-velocity layer depends on its thickness in terms of the dominant wavelength. Trapping of waves was not observed when the source was outside the low-velocity layer. Furthermore, the presence of heterogeneity in the low-velocity layer contributes considerably to the leakage of energy in the adjacent layers due to scattering/diffraction. It was found that, in the 2.5-D numerical simulation, the stability condition and the requirement of the number of grid points per wavelength to avoid grid dispersion are the same as for the 2-D case.  相似文献   

11.
Summary For four years continuous recording of infrasonic signals in the frequency range 0.1 to 1 Hz, known as microbaroms, has been conducted at Palisades, New York. The microbaroms we recorded are radiated into the atmosphere by interfering ocean waves in the North Atlantic as far as 2000 km away. A characteristic diurnal variation in the amplitude of the received signal has been noted, independent of any variation in the source. We conclude that the variation is due to variations of the factors affecting atmospheric sound propagation, namely wind and temperature.
In winter a semidiurnal variation in signal amplitude is observed, with maximum reception around 11 : 00 and 22; 00 local time. Reference to wind and temperature observations in the literature shows that at these times the lowest level of reflection of the vertically propagating signal occurs between 100 and 110 km due to the presence of strong east winds. At 18 : 00, time of minimum amplitudes, the reflection level rises to about 115 km because of a change in tidal wind phase. Viscous dissipation associated with the changed reflection height can account for the observed signal weakening. A third maximum, a less regular effect, is found to be related to more variable winds between 95 and 105 km.
In summer, reflection is found to occur from about 50 km due to the presence of stratospheric easterlies. The summer diurnal variation, different from that of the winter, exhibits only a weak minimum about 20 : 00. This appears to result from a diurnal temperature variation superimposed on a diurnal wind variation. Abnormally high microbaroms were recorded at times that can be related to an atmospheric event known as a stratospheric warming. Microbaroms thus provide a continuously available natural mechanism for probing the upper atmosphere. We conclude that the establishment of microbarom observation systems could give a comprehensive technique for monitoring several upper atmospheric parameters.  相似文献   

12.
Earthquake seismograms that show Doppler effects due to crack propagation   总被引:2,自引:0,他引:2  
Summary. Examples are presented of earthquake P -wave pulses seen on broadband seismograms, to show that on such recordings the pulse shapes are more clearly seen than on conventional short-period and long-period seismograms. Most of the broadband seismograms have been chosen because they show marked differences between the pulse lengths of P and those of the surface reflections. In addition some of the pulses appear to have smooth onsets and abrupt trailing edges so that the onset of the pulse is difficult to observe and the largest amplitude arrivals seen on the seismogram coincide not with the onset of motion but with the termination of motion: that is the large arrivals mark stopping phases of motion.
We assume that the differences in pulse length are due to the effects of a moving source – that is a Doppler effect – and that the pulses with smooth onsets and abrupt trailing edges can be modelled simply by a source propagating on a line with low radiation amplitude at the start of motion. A trial and error method guided by a published fault plane solution is then used to obtain a fit between observed and computed seismograms for one of the earthquakes. This process leads to an estimate of the crack speed of about 1.4 times the 5-wave speed.
The errors that may arise in estimating source depths and orientation, if stopping phases are not recognized as such, is discussed.  相似文献   

13.
Summary. A layer of constant thickness over a half-space is assumed, and the propagation of head waves is considered for the following two cases: (1) the P -wave velocity varies in the layer in the horizontal direction, and is constant in the half-space: (2) the P -wave velocity varies in the half-space in the horizontal direction, and is constant in the layer. In each case the horizontal velocity gradient is assumed to remain constant. The wave propagation is investigated in the direction of the gradient (direct profile), and opposite to it (reverse profile). Formulae for the travel times and the amplitudes are obtained on the basis of ray-theoretical considerations. Conditions are discussed for the discrimination in a field experiment between the case of a sloping boundary separating the homogeneous media, and the case of an intrinsic horizontal velocity gradient.  相似文献   

14.
吴全  姚喜军  陈晓东  赵敏  赵欢  云浩 《干旱区地理》2022,45(6):1860-1869
土体构型对土壤水分、溶质运移过程和作物成长等有显著影响,常规测量采用人工挖土壤剖面取样、实验室化验分析等方法,其周期长效率低。针对以上问题,以探地雷达波形及其图像为研究对象,从检测土体构型的属性(层次、层厚、土质)入手,提出了一种使用探地雷达快速测量土壤土体构型的无损探测方法。基于探地雷达波形图像的纵向梯度信息能够反应土壤分层,采用包络检波法从探地雷达回波中提取包络信号,利用Hilbert分析其瞬时相位来确定分层位置;鉴于土壤介电常数与雷达回波振幅的关系,采用探地雷达回波振幅反演各层介电常数,由介电常数推算雷达波在土壤中的传播速度,以此得到土壤剖面各层厚度;根据探地雷达波形图的图像噪声与土壤砂壤比之间存在定量关系,提出采用主成分分析方法对每一层土质的图像进行噪声估计求得各层土壤的含砂量,结合支持向量机进而辨识各层土壤土质。建立涵盖地域信息、土壤指标、探测信息、图像多特征融合信息的土体构型知识库,并编制快速识别土壤土体构型的信息系统,在内蒙古自治区呼和浩特市周边2个试验基地、6个采样点、4类土壤土体构型使用该方法进行野外探测验证。研究表明:在上述地区地表以下1 m范围内的土体构型识别正确率达到94%以上;探测的每层土壤厚度相对测量误差小于10%。该研究方法为土体构型快速检测应用提供了一种新的中观探测思路。  相似文献   

15.
Summary. A striking feature of the day-side response of the Moon to periodic fluctuations in the solar wind is the rapid rise, and subsequent fall, in the amplitude of the transfer function as the inducing field frequency increases. This behaviour can be characterized by the amplitude values at the two frequencies 24 and 40 mHz. Before the response of a conductivity model representing the Moon can be calculated at a given frequency, the parameters (ν, θ) (where ν is the solar wind speed and θ is the angle between the solar wind velocity and the magnetic field propagation direction) have to be specified. By applying some results due to Parker (1972) to the above two data points, we have determined constraints on the parameter space (ν, θ). In particular, we determine the region of the (ν, θ) space in which conductivity models may be found that satisfy our data pair. Outside this region, there are no conductivity models satisfying the data pair, and hence many (ν, θ) values are inconsistent with the original data and the model assumptions.  相似文献   

16.
Summary. The general problem of inverting Love-wave dispersion and amplitude data to obtain a velocity and Qs structure is considered. A formulation is used which incorporates attenuation into the Haskell-Thompson matrix method in an exact manner and thus retains the inherent non-linearity in the anelasticity. The resulting exact inversion kernels allow simultaneous inversion for velocity and intrinsic attenuation parameters. The method is applied to synthetic data which allows a comparison to be made with inexact kernels. The results indicate that the use of inexact kernels may introduce spurious oscillations into the Qs structure and that a simultaneous inversion can be more stable than inverting for velocity alone.  相似文献   

17.
18.
Seismic imaging of the laterally varying D" region beneath the Cocos Plate   总被引:1,自引:0,他引:1  
We use an axisymmetric, spherical Earth finite difference algorithm to model SH -wave propagation through cross-sections of laterally varying lower mantle models beneath the Cocos Plate derived from recent data analyses. Synthetic seismograms with dominant periods as short as 4 s are computed for several models: (1) a D" reflector 264 km above the core–mantle boundary with laterally varying S -wave velocity increases of 0.9–2.6 per cent, based on localized structures from a 1-D double-array stacking method; (2) an undulating D" reflector with large topography and uniform velocity increase obtained using a 3-D migration method and (3) cross-sections through the 3-D mantle S -wave velocity tomography model TXBW. We apply double-array stacking to assess model predictions of data. Of the models explored, the S -wave tomography model TXBW displays the best overall agreement with data. The undulating reflector produces a double Scd arrival that may be useful in future studies for distinguishing between D" volumetric heterogeneity and D" discontinuity topography. Synthetics for the laterally varying models show waveform variability not observed in 1-D model predictions. It is challenging to predict 3-D structure based on localized 1-D models when lateral structural variations are on the order of a few wavelengths of the energy used, particularly for the grazing geometry of our data. Iterative approaches of computing synthetic seismograms and adjusting model characteristics by considering path integral effects are necessary to accurately model fine-scale D" structure.  相似文献   

19.
The use of the correlation of microtremor records is on its way to develop into a common tool to estimate local shear wave velocity structure. For this reason, the establishment of the conditions for the correct use of this method and its limitations when applied to real data is becoming increasingly important. In addition to the use of frequency domain spatial correlation technique [the Spatial Autocorrelation (SPAC) method], the use of time domain correlation to obtain the Green's function of the medium is rapidly gaining presence. We explore the use of microtremor correlation techniques in the time domain to determine local velocity structure and compare with previous results obtained with the same data using SPAC. Our data come from three experiments carried out in Parkway and Wainuiomata valleys in New Zealand, using broad-band portable stations. Interstation distances range from 5 m to 2.1 km, and our results are useful in the frequency band from 0.1 to 7 Hz. Frequency domain correlation requires an isotropic microtremor field, a condition that need not be satisfied in the time domain. Two station correlations provide useful results due to the temporal stationarity and isotropy, in average, of the microtremor wavefield. This manifests itself in the symmetry of the temporal correlation functions with respect to zero time. Our results show that the local velocity structure and the interstation distance are the key factors conditioning the frequency range where surface wave dispersion can be correctly measured either in frequency or time domains. We confirm that, when the interstation distance becomes much larger than the dominant wavelengths, only the correlation in time domain is useful. All our results indicate that the signal obtained in the correlation of vertical component microtremors is due to the fundamental mode of Rayleigh waves, which appears as the most stable propagation mode, without any indication of body waves.  相似文献   

20.
On transient sliding motion   总被引:1,自引:0,他引:1  
Summary. Two kinds of transient sliding motion under a case of idealized dry friction are studied. One concerns uni-directional slip at constant propagation velocity along a strip of constant length in the propagation direction. The other regards extensional slip along a strip expanding symmetrically with constant velocity. The former kind involves one leading and one trailing edge, whereas the latter involves two leading edges. At a leading edge there must be a region of tearing, where sliding is initiated, and at a trailing edge a region of healing, where sliding ceases. The finiteness of these regions follows from the requirement of bounded strains. In the linearized treatment chosen, the edge processes are described by a modulus of tearing and a modulus of healing, both being characteristics of the material. Relations between the applied remote stress, the extension of the sliding region, the amount of slip, the slip propagation velocity and the rate of energy dissipation are given.  相似文献   

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