Scattering of Love waves due to the presence of a rigid barrier of finite depth in the crustal layer of the earth

1998 ◽  
Vol 108 (1) ◽  
pp. 81-94
Author(s):  
P S Deshwal ◽  
S Mudgal
Keyword(s):  
Finite Depth ◽  
Love Waves ◽  
Rigid Barrier ◽  
Crustal Layer ◽  
The Earth

scholarly journals INFLUENCE OF ROTARY POST-EFFECT ON DISCHARGE IN THE CRUSTAL LAYER

2021 ◽  
Vol 26 (1) ◽  
pp. 16-24
Author(s):  
Sergei V. Dolin ◽  
◽  
Vadim F. Kanushin ◽  
Keyword(s):  
Time Scales ◽  
Earth Rotation ◽  
Annual Number ◽  
Angular Rotation ◽  
Crustal Layer ◽  
Analytical Analysis ◽  
Partial Derivatives ◽  
Rotation Rates ◽  
The Earth ◽  
Derivatives Of

This work represents experiments which have been performed in an attempt to establish a correla-tion between the constantly changing rotational regime of the planet and the discharge in the crustal layer. From the displacement of the TAI, UTC, and UT1 time scales taken from the site of the Interna-tional Earth Rotation Service (IERS), the average annual and monthly angular rotation rates were cal-culated for the period from 1962 to 2018, and a catalog of earthquakes with 1962 to 2018. The com-piled algorithm and the written program found partial derivatives of the total deforming potential and the distribution of annual number of earthquakes over the Earth's surface per one square kilometer. The article presents the results of analytical analysis and calculations for further investigation of the rotational regime of the Earth and other planets.

Using Seismic Source Parameters to Model Frequency-Dependent Surface-Wave Radiation Patterns

2020 ◽  
Vol 91 (2A) ◽  
pp. 992-1002 ◽  
Author(s):  
Boris Rösler ◽  
Suzan van der Lee
Keyword(s):  
Surface Wave ◽  
Moment Tensor ◽  
Source Parameters ◽  
Love Waves ◽  
Wave Radiation ◽  
Radiation Patterns ◽  
Frequency Dependent ◽  
The Earth ◽  
Rayleigh And Love Waves ◽  
Source Mechanisms

Abstract The excitation of surface waves depends on the frequency-dependent eigenfunctions of the Earth, which are determined numerically. As a consequence, radiation patterns of Rayleigh and Love waves cannot be calculated analytically and vary with source depth and with frequency. Owing to the importance of surface-wave amplitudes for inversions of source processes as well as studies of the elastic and anelastic structure of the Earth, assessing surface-wave radiation patterns for different source mechanisms is desirable. A data product developed in collaboration with the Incorporated Research Institutions for Seismology (IRIS) Consortium provides visualizations of the radiation patterns for Rayleigh and Love waves for all possible source mechanisms. Radiation patterns for known earthquakes are based on the moment tensors reported by the Global Centroid Moment Tensor project. These source mechanisms can be modified or moment tensor components can be chosen by the user to assess their effect on Rayleigh- and Love-wave radiation patterns.

scholarly journals Universal dispersion tables 1. Love waves across oceans and continents on a spherical earth

1964 ◽  
Vol 54 (2) ◽  
pp. 681-726
Author(s):  
Don L. Anderson
Keyword(s):  
Wave Dispersion ◽  
Love Waves ◽  
Earth Model ◽  
Powerful Method ◽  
Surface Wave Dispersion ◽  
Period Range ◽  
The Earth ◽  
Data Application ◽  
Dispersion Data ◽  
Spherical Earth

ABSTRACT The variational approach to surface wave dispersion problems has been largely replaced by the powerful method of Haskell which is exact and particularly convenient for use on digital computers. This paper shows how the two methods may be combined to yield dispersion curves which can be used to interpret data from any layered structure. A set of graphs and tables is presented which can be used to calculate the dispersion of Love waves in the period range of 4 to 1000 seconds over any spherical earth model. In addition, it is possible to determine by inspection which portion of the earth is contributing to a set of observed dispersion data thereby facilitating the design of an appropriate earth model. These tables can be used to determine how much freedom can be taken with proposed models without violating dispersion data. Application to the inverse problem is immediate.

The Frequency Dependence of the Perturbation Fields due to Conductivity Inhomogeneities in the Earth

1973 ◽  
Vol 10 (8) ◽  
pp. 1191-1200 ◽  
Author(s):  
F. W. Jones ◽  
B. A. Ainslie
Keyword(s):  
Frequency Dependence ◽  
Field Component ◽  
Finite Depth ◽  
Infinite Depth ◽  
Perturbation Field ◽  
The Earth

The geomagnetic perturbation fields due to conductivity discontinuities in the Earth are investigated. Two models, one in which the discontinuity extends to infinite depth, and a second one which consists of a dike of finite depth are considered. The perturbation fields are studied for several different frequencies of the alternating inducing field for each model. Both the H-polarization and E-polarization cases are considered and the perturbation field component profiles as a function of height above the surface of the conducting region are studied. The perturbation fields are strongly dependent on frequency, and significant differences are exhibited between the H-polarization and E-polarization cases.

scholarly journals A note on the earth-stretching approximation for Love waves

1977 ◽  
Vol 67 (2) ◽  
pp. 551-552
Author(s):  
David P. Hill ◽  
Don L. Anderson
Keyword(s):  
Love Waves ◽  
The Earth

The response of the horizontal pendulum seismometer to Rayleigh and Love waves, tilt, and free oscillations of the earth

1968 ◽  
Vol 58 (5) ◽  
pp. 1385-1406
Author(s):  
P. W. Rodgers
Keyword(s):  
Correction Factor ◽  
Rayleigh Waves ◽  
Complete Response ◽  
Love Waves ◽  
Free Oscillations ◽  
Long Period ◽  
The Earth ◽  
Circular Particle ◽  
Rayleigh And Love Waves ◽  
Horizontal Pendulum

Abstract The horizontal pendulum seismometer is sensitive not only to acceleration along its sensitive axis but also to tilt, variations in the angle of inclination, and along-the-boom acceleration. The complete steady-state response of this type of seismometer to Rayleigh and Love waves, tilt, and free oscillations of the Earth is treated. An equation of motion is developed which includes the effects of tilt, variation in the angle of inclination, and along-the-boom acceleration. An approximate solution to this equation is obtained which separates out the response due to each effect. The response, including these effects, is developed for Rayleigh and Love waves and the conditions under which along-the-boom acceleration and variations in the angle of inclination are important are stated. The question “How much of the seismogram is due to tilt?” is answered in detail for long period Rayleigh waves and free oscillations. It is shown that the seismograms resulting from such waves can require sizable corrections depending on the wave parameters. A correction factor for Rayleigh waves is developed which is universal in the sense that it is independent of the parameters of the particular seismometer and thus applies to all pendulous horizontal seismographs. For Rayleigh waves it is a function only of ellipticity, phase velocity, and period. Correction factor curves for long-period retrograde Rayleigh waves are presented. For circular particle motions a ten per cent correction is required for a three hundred second Rayleigh wave. The problem of obtaining the horizontal ground motion is treated. The response of the horizontal seismometer as a tilt meter is examined; a conversion factor between displacement and tilt magnification is developed. The complete response to simultaneous spheroidal and torsional free oscillations of the Earth is developed. It is shown that the principal response to the low-order spheroidal modes is as a tilt meter. The relationship between the horizontal and vertical seismogram is developed.

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