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Rayleigh-Willis relation

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Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 23–26, 1990
Paper Number: SPE-20557-MS
... succession of shear head waves is not obtained. Trapped (pseudo-Rayleigh) modes result instead, seen here behind the initial shear headwave. Fig. 2.1b displays the fields excited by the monopole source in a slow formation. The slower propagation speeds also reduce the spatial wavelengths. Since the formation...
Proceedings Papers

Paper presented at the SPE Improved Oil Recovery Conference, August 31–September 4, 2020
Paper Number: SPE-200331-MS
... processes occurring over thousands or millions of years ( England 2007 , Machel 2005 ). In relation, geochemical appraisals of reservoirs often report significant spatial gradients of mineral and fluid compositions. Within the same field, depth-dependent variations in mineral compositions for limestone...
Proceedings Papers

Paper presented at the Offshore Technology Conference, May 3–6, 1982
Paper Number: OTC-4255-MS
... Figure 21 from their Handbook, shows the Rayleigh-Willis diagram which relates the period of gaseous-bubble oscillation to its potential energy at maximum bubble size. A range of pneumatic, electrical-discharge and propane-oxygen sources are shown on the diagram along with several charge sizes of...
Proceedings Papers

Paper presented at the SEG International Exposition and Annual Meeting, October 11–16, 2020
Paper Number: SEG-2020-3426548
... unconventional reservoir characterization. DAS fiber instrumented along the horizontal well can detect Analogous to conventional surface waves (Rayleigh and effectively the microseismic-induced guided waves that Love waves), the dispersion characteristics of guided waves travel within the shale formation of the...
Proceedings Papers

Paper presented at the SPE Canada Heavy Oil Conference, September 28–October 2, 2020
Paper Number: SPE-199938-MS
... design stage for future quantitative measuring of flow profiling using DAS systems. Figure 1 Scattering lights (Rayleigh, Brillouin, and Roman) The elasticity of light scattering is defined based on the energy of signal. If the energy (wavelength) of the scattered photon is the same as the...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 30–October 2, 2019
Paper Number: SPE-196214-MS
... for anisotropic material. (x1,x2,x3) is the material coordinate system. Vlasssak et al. (2004) implemented Barber's theorem (1974) , resulting in an improved approximation of the anisotropic contact area required to obtain the indentation modulus. In doing so, the Rayleigh-Ritz approximation...
Journal Articles
Petrophysics - The SPWLA Journal of Formation Evaluation and Reservoir Description 28 (03).
Paper Number: SPWLA-1987-v28n3a5
Published: 01 May 1987
... Leaky compressional nor- Shear head wave mal mode Shear normal mode Airy phase of shear nor- Tube wave mal mode PL wave S wave pseudo-Rayleigh Airy phase; fluid Stoneley wave wave wave ~~ Narrow range near Vp Dispersed within range Narrow range near Vs Dispersed within range Concentrated just after Vf...
Proceedings Papers

Paper presented at the SPWLA 27th Annual Logging Symposium, June 9–13, 1986
Paper Number: SPWLA-1986-VV
... ANNUAL LOGGING SYMPOSIUM, JUNE 9-13, 1986 ., Table 1 -- Wave modes in fluid-filled boreholes during typical logging conditions PREFERRED NAME ALTERNATE NAME VELOCITY RANGE COMMENTS Compressional P wave head wave Leaky compressional PL wave normal mode Shear head S wave wave Shear normal pseudo-Rayleigh...
Proceedings Papers

Paper presented at the 53rd U.S. Rock Mechanics/Geomechanics Symposium, June 23–26, 2019
Paper Number: ARMA-2019-1828
.... (a) Barnett-Lothe coordinate system (b) Green s function components. According to Barber s theorem (1975), the load and the contact area relation can be approximated using Rayleigh- Ritz approximation which maximizes the indentation force for a given indentation depth, related to the contact area...
Proceedings Papers

Paper presented at the 52nd U.S. Rock Mechanics/Geomechanics Symposium, June 17–20, 2018
Paper Number: ARMA-2018-604
... sufficient and necessary condition for the stability in the co-seismic fault normal traction) can be satisfied. Additionally, a Rayleigh damping matrix is artificially introduced to the semi- discrete form for suppressing potential spurious oscillations of high frequencies. Subsequently, the semi- discrete...
Proceedings Papers

Paper presented at the 2014 SEG Annual Meeting, October 26–31, 2014
Paper Number: SEG-2014-1280
... the light-box or Interrogator Unit connected to an in-well FO cable at the surface. The interrogator unit emits short laser pulses into the fiber and analyzes the Rayleigh back-scattering to probe the strain along the fiber. Several field trials conducted recently in onshore wells (Mestayer et al...
Proceedings Papers

Paper presented at the 51st U.S. Rock Mechanics/Geomechanics Symposium, June 25–28, 2017
Paper Number: ARMA-2017-0701
...), salt diapirism is minimal to non- existent. In these early stages, the differential pressure in the base salt layer is not large enough to initiate Rayleigh- Taylor type instability in the system. With continued deposition of the LES, pressure in the basal salt layer (point A, Fig. 2c) increases and...
Proceedings Papers

Paper presented at the 2016 SEG International Exposition and Annual Meeting, October 16–21, 2016
Paper Number: SEG-2016-13846118
... low frequency content equation rayleigh-willis equation frequency content seismic airgun Li , G. F. , M. Q. Cao , H. L. Chen , and C. Z. Ni , 2010 , Modeling air gun signatures in marine seismic exploration considering multiple physical factors : Applied Geophysics, 7 , no. 2...
Journal Articles
Journal of Ship Production and Design 31 (01): 1–42.
Paper Number: SNAME-JSPD-2015-31-1-1
Published: 01 February 2015
.... Hybrid ships consist of a stainless steel advanced double-hull center section, to which a composite material bow and/or stern is attached. Such structures require strong joints between the composite and the steel parts. Some of the difficulties with joining composites and metal are related to the large...
Proceedings Papers

Paper presented at the 2015 SEG Annual Meeting, October 18–23, 2015
Paper Number: SEG-2015-5928795
...-gun: 84th Annual International Meeting, SEG, Expanded Abstracts, 132 137. Dragoset, W. H., 1988, Marine vibrators and the Doppler effect: Geophysics, 53, 1388 1398, httpdx.doi.org/10.1190/1.1442418. Rayleigh-Willis relation, 2014, SEG Wiki, accessed May 2015, httpwiki.seg.org/wiki/Dictionary:Rayleigh...
Proceedings Papers

Paper presented at the 2015 SEG Annual Meeting, October 18–23, 2015
Paper Number: SEG-2015-5819978
... dependent on the firing pressure Pi, air-gun volume Vi and the hydrostatic pressure P at a given water depth. For large air guns the Rayleigh-Willis formula (Rayleigh, 1917; Willis, 1941) is often used: (z) = const. P 1 3 i V 1 3 i P 5 6 , (1) where P = p0 + gz, (2) p0 is the atmospheric pressure which...
Proceedings Papers

Paper presented at the 2015 SEG Annual Meeting, October 18–23, 2015
Paper Number: SEG-2015-5821041
... compliance is equivalent to a free-surface boundary condition. Accordingly, the second arrival of the seismograms labeled as Z = in f corresponds to the Rayleigh wave. Notice that the second arrival in the seis- mograms computed using a finite compliance corresponds to a distinct wave type that travels at a...
Proceedings Papers

Paper presented at the 2015 SEG Annual Meeting, October 18–23, 2015
Paper Number: SEG-2015-5854306
... = , (3) where 2(2 ) 4j Sj Pj SjR = , ( 1, 2)j = , (4) is the Rayleigh equation, and the following notations j Pj P V V = , jSj S V V = , ( 1, 2)j = , (5) 21Pj Pj = , 21Sj Sj = , ( 1, 2)j = , (6) are used. Equation 2 describes the general fluid waves in the fracture and has Krauklis...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 28–30, 2015
Paper Number: SPE-175093-MS
... P-waves showed that zones of mud intrusion or alteration could be imaged ( Hornby 1993 ). It was also shown that the measurement of attenuation of Stoneley and pseudo-Rayleigh waves across an array is sensitive to permeability in porous media ( Rosenbaum 1974 ; Auriault et al. 1985 ; Schmidtt et...
Proceedings Papers

Paper presented at the International Petroleum Technology Conference, December 10–12, 2014
Paper Number: IPTC-17732-MS
... biasing the source output to lower frequency amplitudes. As schematically illustrated in Fig. 8, any effort to redesign air gun arrays will have only marginal improvement in ultra-low frequency output. Although the Rayleigh-Willis equation (Hegna and Parkes, 2011) describes a cube root relationship...

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