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Friday, July 31, 2020 | History

3 edition of Scattered waves on the wall of a fluid-filled borehole from incident plane waves found in the catalog.

Scattered waves on the wall of a fluid-filled borehole from incident plane waves

Myung W. Lee

Scattered waves on the wall of a fluid-filled borehole from incident plane waves

by Myung W. Lee

  • 289 Want to read
  • 20 Currently reading

Published by U.S. Dept. of the Interior, Geological Survey in [Reston, Va.?] .
Written in English

    Subjects:
  • Seismic prospecting.,
  • Seismic reflection method.

  • Edition Notes

    Statementby M.W. Lee.
    SeriesOpen-file report -- 85-666., Open-file report (Geological Survey (U.S.)) -- 85-666.
    ContributionsGeological Survey (U.S.)
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL17670568M

    What follows applies to X-ray diffraction and (ignoring to begin with the very important effects of multiple scattering) electron diffraction. Consider a source of X-ray or electrons incident upon an atom. At the atom, the radiation is scattered: all obstacles, whether objects or apertures (like the harbour wall) diffract waves.   Reflection of Spherical or Plane Waves. When a spreading spherical wave reaches a wall or other obstacle, it is either reflected or scattered.A wavefront is reflected when it impinges on a surface which is flat over at least a few wavelengths in each direction. Reflected wavefronts can be easily mapped using ray tracing, i.e., the reflected ray leaves at an angle to the surface equal to.

    Consider anelastic wave incident on aninfinite borehole drilled through a homogeneous elastic medium with density p, compressional wave speed Ct and shear wave speed {3. The borehole is filled with fluid which has density Pf and compressional wave speed Ctf. The radius of the borehole is Tb. When the wave hits the borehole, a transmitted. Problem The electric field phasor of a uniform plane wave is given by E yˆ 10 ej0 2z (V /m). I f thp as vloc iw 5 8 nd r permeability of the medium is µr 2 4, find (a) the wavelength, (b) the frequency f of the wave, (c) the relative permittivity of the medium, and (d) the magnetic field H .

    Solution of the Dispersion Relationship:!2 = gktanhkh Property of tanhkh: tanhkh = sinhkh coshkh 1¡e¡2kh 1+e¡2kh kh for kh waves or shallow water) 1 for kh >» 3; i.e. kh > ! h > ‚ 2 (short waves or deep water)(e.g. tanh3 = )Deep water waves Intermediate depth Shallow water waves or short waves or wavelength or long wavesFile Size: 1MB. Need to mention that the incident wave, normal to the surface and the reflected wave all lie in the same plane. The same also holds for refraction at a surface. Phase shift of reflected wave. When a wave is reflected from a more dense medium, it undergoes a phase shift. That means that the peaks and troughs are swapped around.


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Scattered waves on the wall of a fluid-filled borehole from incident plane waves by Myung W. Lee Download PDF EPUB FB2

Scattered waves on the wall of a fluid-filled borehole from incident plane waves by Myung W. Lee 3 editions - first published in Get this from a library. Scattered waves on the wall of a fluid-filled borehole from incident plane waves. [Myung W Lee; Geological Survey (U.S.)]. The interaction of a fluid-filled borehole with incident elastic waves is an important topic for downhole acoustic measurements.

By analyzing the wave phenomena of this problem, one can simulate the detection of a borehole target using a source-receiver system in a remote by: 1.

Multi-Scattering of Plane P Waves by Several Fluid-Filled Cavities Article in Geotechnical and Geological Engineering 32(2) April with 6 Reads How we measure 'reads'. The scattered waves at a large distance from the body behave similar to those from a point source, giving rise to the condition B D / c = B O / U, where c is the celerity Cited by: The propagation of guided waves in a fluid-filled borehole with an open horizontal fracture is investigated both theoretically and experimentally.

The fracture is modeled as a fluid layer that separates the domain of propagation into two regions. For the solution of the problem, we use a hybrid method to generate wave modes in the two regions.

Theoretical seismic wave radiation from a fluid-filled borehole. there is no nodal plane. Lee. and Balch. a radial stress source on the wall of fluid-filled borehole), Author: Myung Woong Lee. Here, the aim is to study Krauklis wave initiation by an incident plane P- or S-wave in numerical simulations.

Both seismic body waves are reflected and scattered at the fracture, but also, two Krauklis waves are initiated with significant amplitude, one at each fracture tip Cited by: scalar plane waves. Let us look for an electric fleld and a magnetic induction with the forms E(x;t) = E0ei(k¢x¡!t) B(x;t) = B 0e i(k¢x¡!t) (10) with the understanding that the true flelds are the real parts of these complex ex-pressions.

In addition to satisfying the wave equation, the complex flelds must be solutions of the Maxwell Size: KB. Diffraction of Water Waves by Breakwaters By John H. Carr' and Marshall E. Stelzriede1 Diffraction is an important factor in the determination of the distribution of wave energy within a harbor, and therefore is of importance in harbor Size: 3MB.

6 Consider a plane electromagnetic wave that is normally incident on a glass lens of a camera with εr =as illustrated in figure A. Assume that the lens has an infinite thickness in order to neglect the reflections at the glass-air end interface.

air glass incident wave Figure A dielectric air glass incident wave. Particle displacements from incident plane waves at the wall of a fluid-filled borehole are formulated by applying the seismic reciprocity theorem to far-field displacement fields.

Such displacement fields are due to point forces acting on a fluid-filled borehole under the assumption of long wavelengths. The displacement fields are analyzed to examine the effect of the borehole on seismic wave propagation.

In one-dimension, interaction of plane wave, eikx, with localized target results in degree of reflection and transmission. Both components of outgoing scattered wave are plane waves with wavevector ±k (energy conservation). Influence of potential encoded in complex amplitude of reflected and transmitted wave – fixed by time-independent File Size: 1MB.

Get this from a library. Particle motion inside a fluid-filled borehole from incident plane waves. [Myung W Lee; Geological Survey (U.S.)]. The general solution for plane waves incident on a layered half-space The general solution to the Helmholz equation in rectangular coordinates The vector propagation constant Vector relationships between vectors k, E, and H Properties of uniform plane waves, characteristic impedanceFile Size: KB.

It is noted that most investigations focus on two-dimensional modulation of reflected and/or refracted waves in the incident plane, or on axial modulation such as focusing and imag Airy-beam 29 and bottle b etc.

Research on the modulation of the reflected acoustic waves out of the incident plane is rarely reported. The model predicts that P-waves radiate primarily along the axis of the borehole, and shear waves radiate primarily perpendicular to the borehole axis. In a vertical hole, the largest P-waves will be recorded directly above and below the drill bit; whereas, the largest shear waves will be recorded in a horizontal plane containing the drill by: Two fluids have a plane interface at x 1 = 0.

Consider a plane acoustic wave that is normally incident on the interface and determine the amplitudes of the reflected and transmitted waves. Solution. Let the fluid properties to the left of the interface (x 1.

An improved method to measure diffraction and radiation waves around a ship model running in waves at forward speed is proposed. With this technique we are able to view the diffraction and/or radiation waves which are usually invisible in tank tests due to the existence of other effects such as incident waves and steady Kelvin waves.

S-wave becomes parallel to the borehole wall, it propagates along the borehole-formation interface as a shear disturbance at speed V s and generates another head wave in the borehole fluid.

Its arrival at the receivers is recorded as the S-wave. In this way, shear slowness of a fast formation can be measured by a tool surrounded by borehole fluid, even though S-waves cannot propagate through the fluid. Wave scattering setups for case 1 above - one output channel ↑ Fig.

37a. One dimensional acoustical circuit of case 1 above. Most of the incident wave amplitude is reflected at the entrance of the resonator. The waves radiated back out the coupling hole travel in the negative direction and become inseparably mixed with the reflected waves.a plane monochromatic wave transmitted at some angle θ onto a rough surface (see Figure 3), it is a simple matter to calculate the phase difference ∆φ between two rays scattered from separate points on the surface: θ λ π φ cos 2 ∆ = 2h (2) where h is the standard deviation of the roughness height regarding to a reference height and θ.The proposed mechanism for the generation of these borehole Stoneley waves is coupling of a guided mode, induced in the fracture by an incident plane wave (typically a P wave), to the borehole.

The model expresses the borehole Stoneley wave amplitude, normalized more» by the amplitude of the direct P wave, as a function of frequency, in terms.