Shortwave birfurcation in a model of a seismically active medium and dominant frequencies

Malomed, B. A.; Mitlin, Vladimir; Nikolayevskii, V.N.

doi:10.1016/0021-8928(91)90113-9

Cited by 4 publications

(2 citation statements)

References 5 publications

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“…19,[21][22][23][24] Ultrasound Generation By LongĆtoĆShort Wave Resonance It has been established already that ultrasound waves are needed to reorganize the microstate of oil/water flow. Ultrasound waves can be created continuously by seismic waves during their propagation in the porous or fractured media.…”

Section: Nonlinear Wave Evolutionmentioning

confidence: 99%

Residual Oil Reservoir Recovery With Seismic Vibrations

Nikolaevskiy

Lopukhov

Liao

et al. 1996

SPE Production &Amp; Facilities

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Evidence suggests that certain vibrations, generated either by natural seismic events or by artificial explosions, have altered the production behavior of oil wells at distances as much as 200 km from the epicenter. These changes have affected the produced water/oil ratio: the water production rate increased from a formation that was at approximately the interstitial water saturation, while the oil rate increased in watered-out reservoirs that were near the residual oil saturation.Theoretical and field investigations of the phenomena suggest that vibrations may influence substantially the water or oil relative permeability that appears to be partially reconstituted at saturations that ordinarily would prohibit the flow of a particular phase. The key role is played by ultrasound oscillations, generated by seismic waves within the stratum, and it has been confirmed by in-situ measurements during the vibrostimulation of reservoirs.This paper provides an interpretation of the process and describes wave requirements, wave generation, and propagation in oil-bearing porous media supported by laboratory experiments and field cases of vibrostimulation of oil production from water-flooded reservoirs.

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Section: Nonlinear Wave Evolutionmentioning

confidence: 99%

Residual Oil Reservoir Recovery With Seismic Vibrations

Nikolaevskiy

Lopukhov

Liao

et al. 1996

SPE Production &Amp; Facilities

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“…The sample of numerical solution of (3.16) with ς = 0 was done in Beresnev and Nikolàevskiy (1993) with dispersion (odd) term of the third order but after some time of wave evolution the stability of calculations was lost. In article (Malomed et al 1991) the odd derivatives were neglected and Eq. 6.1 was transformed to the now well-known dimensionless form (ε is the small dimensionless parameter, describing the interval of negative dissipation):…”

Section: Applicationsmentioning

confidence: 99%

Non-linear Evolution of P-waves in Viscous–Elastic Granular Saturated Media

Nikolaevskiy

2007

Transp Porous Med

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The Frenkel-Biot P-wave of the first type is a seismic longitudinal wave observed in rocks fully saturated with oil, water or high-pressure gas. The P-wave of the second type is observed in unsaturated soils and other porous media saturated with gas of low pressure. Their models include properties of the skeleton, that is, its elastic modules and its own viscosity. If the non-linear terms are accounted for, the asymptotic analysis, usual for weak non-linear waves, might be applied to get the wave spectrum evolution. The wetness of grains contacts in soils and such components of oil as tars or bitumen, which attached to the skeleton, can be described by generalized viscous-elastic stress-strain connections. The latter are nominated in such a way that creates the narrow frequency interval of wave of negative dissipation where the non-linear terms begin to play the main role besides the neutral stability for waves of zero wave number. The corresponding case, relevant to single continuum model, was analyzed in the literature. Here it is shown that the interpenetrating continua with interaction of the Darcy type provide the dissipation sink in the wave evolution equation. This generalization, (Tribelsky, M.I.: Phys. Rev. Lett. (2007, submitted)), can stabilize the asymptotic solution of the evolution equation, where the dispersion terms are omitted. The asymptotic solution of the equation is invariant to initial conditions and it means a transformation of initial wave spectra to unique one while wave is spreading in the viscous-elastic medium under consideration. This explains the phenomenon, observed in wave tests at marine beach, when any dynamics action (impact, explosion, and ultrasound action) created at some distance a wave of a single frequency (∼25 Hz).

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Biot–Frenkel Poromechanics in Russia (Review)

Nikolaevskiy

2005

J. Eng. Mech.

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Shortwave birfurcation in a model of a seismically active medium and dominant frequencies

Cited by 4 publications

References 5 publications

Residual Oil Reservoir Recovery With Seismic Vibrations

Residual Oil Reservoir Recovery With Seismic Vibrations

Non-linear Evolution of P-waves in Viscous–Elastic Granular Saturated Media

Biot–Frenkel Poromechanics in Russia (Review)

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