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1.
Abstract

In a nonrotating system, the shear Reynolds stresses exerted by surface or internal gravity waves vanish on account of the exact quadrature between the horizontal and vertical orbital velocities. It is shown that a rotation of the system induces small in‐phase perturbations, resulting in a mean Reynolds stress which can generate low frequency currents. If both the wave field and the ocean are homogeneous with respect to the horizontal coordinates, the low‐frequency response is an undamped inertial oscillation. If either the wave field or the ocean are weakly inhomogeneous, the oscillation disperses in the vertical and horizontal directions due to phase‐mixing of modes with closely neighboring frequencies. Other effects which produce small frequency shifts also contribute to phase‐mixing, for example the horizontal component of the Coriolis vector and nonlinear interactions with geo‐strophic currents. The analysis is based on operator representations which avoid normal mode decomposition and yield simple integro‐differential operators for each phase‐mixing process. Numerical results are presented for a continuously stratified model typical for a shallow sea (Baltic). The orders of magnitude and qualitative features are in reasonable agreement with observations.  相似文献   

2.
Wave equation migration is often applied to solve seismic imaging problems. Usually, the finite difference method is used to obtain the numerical solution of the wave equation. In this paper, the arbitrary difference precise integration (ADPI) method is discussed and applied in seismic migration. The ADPI method has its own distinctive idea. When dispersing coordinates in the space domain, it employs a relatively unrestrained form instead of the one used by the conventional finite difference method. Moreover, in the time domain it adopts the sub-domain precise integration method. As a result, it not only takes the merits of high precision and narrow bandwidth, but also can process various boundary conditions and describe the feature of an inhomogeneous medium better. Numerical results show the benefit of the presented algorithm using the ADPI method.  相似文献   

3.
This paper presents a comparison between measured train-induced ground vibrations in the free-field before and after countermeasures had been taken at Kåhög near Gothenburg in Sweden. A wave barrier of lime–cement columns was constructed parallel to the railway in order to reduce the ground-borne vibrations inside nearby buildings. On top of the barrier an embankment was built to reduce air-borne vibrations. Due to the wave barrier design, part of the energy content of the waves was expected to be reflected by the screen and transmitted energy was expected to be partly scattered. Contribution from the noise-embankment was not thought likely but could not be ruled out due to its fairly large mass and its close proximity to the railway. The effect of the mitigating measures resulted in a 67% reduction of the maximum particle velocity at 30 m and 41% at 60 m from the railway. A simple two-dimensional finite element model has been used to study the relative importance of the wave barrier and the noise-embankment as contributors to the mitigation recorded of the ground vibrations in the field. It is concluded with respect to ground vibrations that both the barrier and the embankment had a mitigating effect but that the contribution from the barrier dominated. Furthermore, it is seen from the field results as well as the simulation that the effect of the mitigating action is reduced with increasing distance from the railway.  相似文献   

4.
The source parameters of the Yajiang earthquake sequence are calculated based on spectral analysis of S wave data recorded by the Chengdu Digital Seismic Network. Analysis of the source parameters in different periods are made, The obtained results are : ( 1 ) the relationship between Ms (seismic moment), Mw ( moment magnitude) and ML (local magnitude), which fits the data of Yajiang earthquake sequence; (2) the decreasing corner frequency from 1.4 before the M5.0 earthquake to 1.3 afterwards, and then to 1.2 after the M6.O event; (3) the obvious difference in the source parameters between foreshocks and aftershocks, which may be indicators for earthquake prediction.  相似文献   

5.
The phenomenon of wave dispersion in dry sand is studied both by purely analytical studies and by analytical–numerical experiments on the basis of gradient elastic and viscoelastic material models. These material models are employed in order to simulate the microstructural characteristics of dry sand. The analytical studies treat the material body as a one-dimensional (for the viscoelastic case) and three-dimensional (for the gradient elastic case) and for both material models provide explicit expressions for the velocity of propagation of harmonic compressional (P) and shear (S) waves. These velocities are found to be functions of frequency, i.e., dispersive. The analytical–numerical studies treat the material as a one-dimensional one and try to simulate P and S wave propagation along the axial direction of cylindrical dry sand specimens. Thus, a sinusoidal pulse with a specific frequency is applied at one end of the specimen and the response is determined at some other point by solving a transient dynamic boundary value problem with the aid of a numerical Laplace transform. This analytical–numerical experiment is repeated for various frequencies. Thus, one determines the velocities of P and S waves as functions of frequency, thereby proving again that wave propagation in dry sand is dispersive.  相似文献   

6.
Coastal cliff erosion is caused by a combination of marine forcing and sub-aerial processes, but linking cliff erosion to the environmental drivers remains challenging. One key component of these drivers is energy transfer from wave–cliff interaction. The aim of this study is to directly observe cliff ground motion in response to wave impacts at an individual wave scale. Measurements are described from two coastal cliff sites: a 45-minute pilot study in southern California, USA and a 30-day deployment in Taranaki, New Zealand. Seismometers, pressure sensors and video are used to compare cliff-top ground motions with water depth, significant wave height (Hs) and wave impact types to examine cliff ground motion response. Analyses of the dataset demonstrate that individual impact events can be discriminated as discrete events in the seismic signal. Hourly mean ground motion increases with incident Hs, but the largest hourly peak ground motions occurred across a broad range of incident Hs (0.9–3.7 m), including during relatively calm conditions. Mean hourly metrics therefore smooth the short-term dynamics of wave–cliff interaction; hence, to fully assess wave impact energy transfer to cliffs, it is important also to consider peak ground motion. Video analyses showed that the dominant control on peak ground motion magnitude was wave impact type rather than incident Hs. Wave–cliff impacts where breaking occurs directly onto the cliff face consistently produced greater ground motion compared to broken or unbroken wave impacts: breaking, broken and unbroken impacts averaged peak ground motion of 287, 59 and 38 μm s−1, respectively. The results illustrate a novel link between wave impact forcing and cliff ground motion response using individual wave field measurements, and highlight the influence of wave impact type on peak energy transfer to coastal cliffs. © 2019 John Wiley & Sons, Ltd. © 2019 John Wiley & Sons, Ltd.  相似文献   

7.
The experimental study of the change of wave velocity in fault regions before instability of frictional sliding of rocks was conducted.Experiments show that before the instability of frictional sliding of rocks,the change of wave velocity cannot be observed along lines on one side of the fault,but the precursor of the decrease of wave velocity can be observed along lines across the fault.Therefore,when we try to predict the earthquakes of the stick-slip type in fault regions by using the anomaly of wave velocity,the measuring lines across the faults should be selected.  相似文献   

8.
In this paper,the process of dynamic variation of the wave velocity ratio that occurred at a single station,such as Lancang,Tengchong,and Eryuan stations,8 years before the Lancang-Gengma earthquakes(Ms=7.6 and 7.2),is studied by applying the synthetic method as a whole.It is found that the moderately strong and strong earthquakes 250 km away that occurred since 1983 may lead to mutation anomalies of the wave velocity ratio in the Lancang region.The mutation amplitude is increased with the approaching time and distance of a large event.The reliability of mutation data for the wave velocity ratio has been demonstrated in many ways.The application of mutation of the wave velocity ratio to earthquake prediction and its physical explanation are discussed.  相似文献   

9.
Passive surface wave methods have gained much attention from geophysical and civil engineering communities because of the limited application of traditional seismic surveys in highly populated urban areas. Considering that they can provide high-frequency phase velocity information up to several tens of Hz, the active surface wave survey would be omitted and the amount of field work could be dramatically reduced. However, the measured dispersion energy image in the passive surface wave survey would usually be polluted by a type of “crossed” artifacts at high frequencies. It is common in the bidirectional noise distribution case with a linear receiver array deployed along roads or railways. We review several frequently used passive surface wave methods and derive the underlying physics for the existence of the “crossed” artifacts. We prove that the “crossed” artifacts would cross the true surface wave energy at fixed points in the fv domain and propose a FK-based data selection technique to attenuate the artifacts in order to retrieve the high-frequency information. Numerical tests further demonstrate the existence of the “crossed” artifacts and indicate that the well-known wave field separation method, FK filter, does not work for the selection of directional noise data. Real-world applications manifest the feasibility of the proposed FK-based technique to improve passive surface wave methods by a priori data selection. Finally, we discuss the applicability of our approach.  相似文献   

10.
Piecewise heterogeneous media that the earth presents are composed of large-scale boundary structures and small-scale volume heterogeneities. Wave propagation in such piecewise heterogeneous media can be accurately superposed through the generalized Lippmann–Schwinger integral equation (GLSIE). Two different Born series modeling schemes are formulated for the boundary–volume integral equation with 2-D antiplane motion (SH waves). Both schemes decompose the resulting boundary–volume integral equation matrix into two parts: the self-interaction operator handled with a fully implicit manner, and the extrapolation operator approximated by a Born series. The first scheme associates the self-interaction operator with each boundary itself and the volume itself, and interprets the extrapolation operator as the cross-interaction between each boundary and other boundaries/volume scatterers in a subregion. The second scheme relates the self-interaction operator to each boundary itself and its cross-interaction with the volume scatterers on both sides, and expresses the extrapolation operator as both the direct and indirect (through the volume scatterers) cross-interactions between different boundaries in a subregion. By eliminating the displacement field from the volume scatterers, the second scheme reduces the dimension of the resulting boundary-volume integral equation matrix, leading to a faster convergence than the first scheme. Both the numerical schemes are validated by dimensionless frequency responses to a heterogeneous alluvial valley with the velocity perturbed randomly in the range of ca 5–20 %. The schemes are applied to wave propagation simulation in a heterogeneous multilayered model by calculating synthetic seismograms. Numerical experiments, compared with the full-waveform numerical solution, indicate that the Born series modeling schemes significantly improve computational efficiency, especially for high frequencies.  相似文献   

11.
This paper presents the results of studies of wave disturbances in the electron concentration N in the ionosphere during a prominent geospace storm, in the process of which the electron concentration decreased by a factor of 6–7, whereas the temperatures of ions and electrons at night increased up to 2000 and 3000 K, respectively. The height-time variations in the parameters of wave disturbances are also analyzed. It is shown that the geospace storm was accompanied by a substantial change in wave activity in the ionosphere. In the period of negative ionospheric storms, the amplitude Δ N decreased by a factor of 2–10. At the same time, the relative amplitude δ N = ΔN/N changed insignificantly and was within the limits 0.05–0.10 during day-time. At night, δ N reached 0.25–0.30 and sometimes even 0.4–0.5. During both disturbed and undisturbed days, quasi-periodic processes with a period of 40–60 and 80–120 min prevailed. The maximum values of the absolute and relative amplitudes were achieved at a height of 200–270 km. A soliton-like disturbance formed near the main phase of the magnetic storm on November 10, 2004 was detected. Its appearance was related to the oblique coherent reflection of sounding signals.  相似文献   

12.
INTRODUCTIONThephenomenonof“quiescence”beforestrongearthquakeshaswidelybeenaccepted .However,isitreallyquietbeforeanearthquake ?Accordingtorecordsfromshortperiodseismographs,itis“quiet”beforeearthquake ,butaccordingtotherecordsofbroadbandseismograph ,thismaynotbetrue .Thekeytothismatterishowtogetreliableinformation .Earlyinthe 1 970’s,manyseismologiststhoughtthattheultra lowfrequencywaveformrecordedbybroadbandseismometersbeforeearthquakescamefromfore sliporslow extending (Rikitake ,…  相似文献   

13.
14.
Using pure S wave fitting method, we studied the shear wave velocity structures under the Ordos block and its eastern and southern marginal areas. The results show that the velocity structure beneath Yulin station in the interior of Ordos block is relatively stable, where no apparent change between high and low velocity layers exists and the shear wave velocity increases steadily with the depth. There is a 12km thick layer at the depth of 25km under this station, with an S wave velocity (Vs=3.90km/s) lower than that at the same depth in its eastern and southern areas (Vs≥4.00km/s). The crust under the eastern margin of Ordos block is thicker than that of the Yulin station, and the velocity structures alternate between the high and low velocity layers, with more low velocity layers. It has the same characteristic as having a 10km-thick low velocity layer (Vs=3.80km/s) in the lower crust but buried at a depth of aout 35km. Moreover, we studied the Vp/Vs ratio under each station in combination with the result of P wave velocity inversion. The results show that, the average velocity ratio of the Yulin station at the interior of Ordos block is only 1.68, with a very low ratio (about 1.60) in the upper crust and a stable ratio of about 1.73 in the mid and lower crust, which indicates the media under this station is homogenous and stable, being in a state of rigidity. But at the stations in the eastern and southern margins of the Ordos block, several layers of high velocity ratio (about 1.80) have been found, in which the average velocity ratio under Kelan and Lishi stations at the eastern margin is systemically higher than that of the general elastical body waves (1.732). This reflects that the crust under the marginal areas is more active relatively, and other materials may exist in these layers. Finally, we discussed the relationship among earthquakes, velocity structures beneath stations and faults.  相似文献   

15.
InversionofLongPeriodBodyWaveDatafortheSourceProcesoftheGonghe,Qinghai,ChinaEarthquakeXULI(李旭)andYUN-TAICHEN(陈运泰)**Institu...  相似文献   

16.
This article provides the application of the high-order, staggered-grid, finite-difference scheme to model elastic wave propagation in 3-D isotropic media. Here, we use second-order, temporal-and high-order spatial finite-difference formulations with a staggered grid for discretization of the 3-D elastic wave equations of motion. The set of absorbing boundary conditions based on paraxial approximations of 3-D elastic wave equations are applied to the numerical boundaries. The trial resuits for the salt model show that the numerical dispersion is decreased to a minimum extent, the accuracy high and diffracted waves abundant. It also shows that this method can be used for modeling wave propagation in complex media with the lateral variation of velocity.  相似文献   

17.
Study of seismic wave excitation and propagation in laterally heterogeneous media was an active and important subject in seismology in the past two decades, numerous analytical and numerical efforts have been made in this research field. In this article, I have, first, made a brief review on those developments and then introduced and summarized a unified and efficient method, global generalized reflection-transmission (abbreviated to R/T thereafter) matrices method, for synthetic seismograms in multi-layered media with irregular interfaces developed by the author [24~26]. As demonstrated in this article, this method could be regarded as an extension of the generalized R/T coefficients method for the horizontally layered case [2,5] to the layered media with irregularly shaped interfaces by incorporating the T matrices technique [27,28]. Because of the use of a recursive scheme in computing the global generalized R/T matrices, this method is efficient, particularly for the case with a large number of irre  相似文献   

18.
All existing data (6 years) on gravity wave activity, inferred from the nighttime A3 (oblique incidence on the ionosphere) radio wave absorption measurements in the lower ionosphere on 270 kHz at Prhonice in Central Europe, have been exploited to get information on the effects of QBO phases and the Mt. Pinatubo volcanic eruption on the gravity wave activity in the winter half of the year. There appears to be an enhancement of gravity wave activity in the two winters just after the strong volcanic eruption of Mt. Pinatubo. This enhancement is remarkable for long-period waves (T=2–3 hours). No clear effect of the phase of QBO on the level of gravity wave activity has been found; a possible effect of QBO on the correlations between gravity wave activities in individual period bands is indicated. The results are limited by a relatively short data series; however, no more data will he available.  相似文献   

19.
INTRODUCTIONS wavesplittingisnotonlystudiedintheory,buthasalsobeenthesubjectofalotoffieldobser vationsandcomputersimulationsinceCrampin (1978)raisedtheExtensiveDilatancyAnisotropy(EDA) .Thoseinvestigationstriedtotestifythecorrectnessofthehypothesis,namelythatthevertical lyparallelcracksappliedunderthestresshaveeffectiveanisotropy,whichcanresultinshearwavesplitting.Sincethe 1980s,thedigitalseismometerwithbroadbandandhighaccuracyhasbeenusedwidelyinseismicobservations,andtheprocessingtechn…  相似文献   

20.
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