Determination of the reference symmetry axis of a generally anisotropic medium which is approximately transversely isotropic

Klimeš, Luděk

doi:10.1007/s11200-015-0482-0

Cited by 10 publications

(28 citation statements)

References 22 publications

(23 reference statements)

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“…The sharply bent anisotropicray-theory rays thus cannot describe the correct wave propagation. The actual wave paths in velocity model SC1 II are close to the SH and SV reference rays (Klimeš, 2015(Klimeš, , 2016cKlimeš and Bulant, 2015 ) which tunnel smoothly through a split Fig. 2.…”

Section: 4 M E a S U R E M E N T C O N F I G U R A T I O Nmentioning

confidence: 65%

“…At the depth of 0 km, velocity model SC1 I is approximately transversely isotropic and its reference symmetry axis is horizontal (Klimeš, 2015(Klimeš, , 2016c. At this depth, the slowness surface contains a split intersection singularity, whereas velocity models QIH, QI, QI2 and QI4 display no exact nor split intersection singularity (Pšenčík et al, 2012 ).…”

Section: 3 a N I S O T R O P I C V E L O C I T Y M O D E L Smentioning

confidence: 98%

“…For comparison with the isotropic-ray-theory and anisotropic-ray-theory seismograms in velocity model QI and for a more detailed discussion and description of this velocity model refer to Pšenčík and Dellinger (2001). Velocity model QI is approximately transversely isotropic (Klimeš, 2015(Klimeš, , 2016c in a vertical plane which forms a 45…”

Section: 3 a N I S O T R O P I C V E L O C I T Y M O D E L Smentioning

confidence: 99%

“…Note that the anisotropic-common-ray approximation (Klimeš, 2006 ;Klimeš and Bulant, 2006 ) usually preserves the accuracy of the coupling ray theory and simultaneously simplifies ray tracing considerably by eliminating the slowness surface singularities. However, in approximately uniaxial (approximately transversely isotropic) media (Klimeš, 2015(Klimeš, , 2016c, we may also use the reference ordinary (SH) and extraordinary (SV) rays (Klimeš and Bulant, 2015 ).…”

Section: Introductionmentioning

confidence: 99%

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Prevailing-frequency approximation of the coupling ray theory for electromagnetic waves or elastic S waves

Klimeš

Bulant

2016

Stud Geophys Geod

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The coupling-ray-theory tensor Green function for electromagnetic waves or elastic S waves is frequency dependent, and is usually calculated for many frequencies. This frequency dependence represents no problem in calculating the Green function, but may represent a great problem in storing the Green function at the nodes of dense grids, typical for applications such as the Born approximation. This paper is devoted to the approximation of the coupling-ray-theory tensor Green function, which practically eliminates this frequency dependence within a reasonably broad frequency band.In the vicinity of a given prevailing frequency, we approximate the frequencydependent frequency-domain coupling-ray-theory tensor Green function by two dyadic Green functions corresponding to two waves described by their travel times and amplitudes calculated for the prevailing frequency. We refer to these travel times and amplitudes as the coupling-ray-theory travel times and the coupling-ray-theory amplitudes. This "prevailing-frequency approximation" of the coupling ray theory for electromagnetic waves or elastic S waves allows us to process the coupling-raytheory wave field in the same way as the anisotropic-ray-theory wave field. This simplification may be decisive when storing the tensor Green function at the nodes of dense grids, which is typical for applications such as the Born approximation.We test the accuracy of the proposed prevailing-frequency approximation of the coupling ray theory numerically using elastic S waves in eight anisotropic velocity models. The additional inaccuracy introduced by the prevailing-frequency approximation is smaller than the inaccuracy of the standard frequency-domain coupling ray theory, and smaller than the additional inaccuracy introduced by many other approximations of the coupling ray theory.K e y wo r d s :

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Section: 4 M E a S U R E M E N T C O N F I G U R A T I O Nmentioning

confidence: 65%

Section: 3 a N I S O T R O P I C V E L O C I T Y M O D E L Smentioning

confidence: 98%

Section: 3 a N I S O T R O P I C V E L O C I T Y M O D E L Smentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Prevailing-frequency approximation of the coupling ray theory for electromagnetic waves or elastic S waves

Klimeš

Bulant

2016

Stud Geophys Geod

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“…Whether an elastic medium is close to uniaxial can be determined by the method of Klimeš (2015Klimeš ( , 2016a. This method also determines the direction of the corresponding reference symmetry axis in terms of the reference symmetry vector.…”

Section: E L a S T I C W A V E Smentioning

confidence: 99%

Ray tracing and geodesic deviation of the SH and SV reference rays in a heterogeneous generally anisotropic medium which is approximately uniaxial

Klimeš

Bulant

2017

Stud Geophys Geod

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The coupling ray theory is usually applied to anisotropic common reference rays, but it is more accurate if it is applied to reference rays which are closer to the actual wave paths. If we know that a medium is close to uniaxial (transversely isotropic), it may be advantageous to trace reference rays which resemble the SHwave and SV-wave rays. This paper is devoted to defining and tracing these SH and SV reference rays of elastic S waves in a heterogeneous generally anisotropic medium which is approximately uniaxial (approximately transversely isotropic), and to the corresponding equations of geodesic deviation (dynamic ray tracing). All presented equations are simultaneously applicable to ordinary and extraordinary reference rays of electromagnetic waves in a bianisotropic medium with the symmetric constitutive matrix which is approximately uniaxially anisotropic. The improvement of the coupling-ray-theory seismograms calculated along the proposed SH and SV reference rays, compared to the coupling-ray-theory seismograms calculated along the anisotropic common reference rays, has already been numerically demonstrated by the authors in four approximately uniaxial velocity models.K e y wo r d s : wave propagation, elastic anisotropy, electromagnetic bianisotropy, heterogeneous media, wave coupling, approximately uniaxial (approximately transversely isotropic) anisotropic medium, reference symmetry axis, SH (ordinary) and SV (extraordinary) reference rays

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Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media: Barnett and Lothe Integral Formalism Revisited

Tanuma

Nakamura

2023

J Elast

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Determination of the reference symmetry axis of a generally anisotropic medium which is approximately transversely isotropic

Cited by 10 publications

References 22 publications

Prevailing-frequency approximation of the coupling ray theory for electromagnetic waves or elastic S waves

Prevailing-frequency approximation of the coupling ray theory for electromagnetic waves or elastic S waves

Ray tracing and geodesic deviation of the SH and SV reference rays in a heterogeneous generally anisotropic medium which is approximately uniaxial

Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media: Barnett and Lothe Integral Formalism Revisited

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