Elastic Green's Theorem Preprocesing for On-Shore Internal Multiple Attenuation - Arthur Weglein

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University of Houston Physic Professor Arthur Weglein Research Paper , Elastic Green's Theorem Preprocesing for On- Shore Multiple Attenuation

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Elastic Green's Theorem Preprocesing for On-Shore Internal Multiple Attenuation - Arthur Weglein

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Antidote final tle32101192%2 e1

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The Inverse Scattering Series (ISS) is a direct inversion method for a multidimensional acoustic, elastic and anelastic earth. It communicates that all inversion processing goals are able to be achieved directly and without any subsurface information. This task is reached through a task-specific subseries of the ISS. Using primaries in the data as subevents of the first-order internal multiples, the leading-order attenuator can predict the time of all the first-order internal multiples and is able to attenuate them. However, the ISS internal multiple attenuation algorithm can be a computationally demanding method specially in a complex earth. By using an approach that is based on two angular quantities and that was proposed in Terenghi et al. (2012), the cost of the algorithm can be controlled. The idea is to use the two angles as key-control parameters, by limiting their variation, to disregard some calculated contributions of the algorithm that are negligible. Moreover, the range of integration can be chosen as a compromise of the required degree of accuracy and the computational time saving. This time-saving approach is presented

Ayadi weglein-2013

Arthur Weglein

An Extension of Linear Inverse Scattering Methods for Absorptive Media to the...

Arthur Weglein

A multiple attenuation method derived from an inverse scattering series is described. The inversion series approach allows a separation of multiple attenuation subseries from the full series. The surface multiple attenuation subseries was described and illustrated in Carvalho et al. (1991, 1992). The internal multiple attenuation method consists of selecting the parts of the odd terms that are associated with removing only multiply reflected energy. The method, for both types of multiples, is multidimensional and does not rely on periodicity or differential moveout, nor does it require a model of the reflectors generating the multiples. An example with internal and surface multiples will be presented.

Inverse scattering series for multiple attenuation: An example with surface a...

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Araujo etal-1994b

Arthur Weglein

Summary Methods for removal of free-surface and internal multiples have been developed from bath a feedback model approach and inverse scatterin g theory. White these two formulations derive from different mathematica) viewpoints, the resulting algorithm s for free-surface multiple are very similar. By contrast , the feedback and inverse scattering method for internal multiple are totally different and have different requirements for sub surface information or interpretive intervention . The former removes all multiple related to a certain boundary with the a of a surface integral along this boundary ; the alter wilt predict and attenuate a ll internal multiple a t the same time . In this paper, we continue our comparison study of these internal multiple attenuation method ; specifically , we examine two different realizations of the feedback method and the inverse scattering technique .

Verschuur etal-1999

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The attenuation of internal multiples in a multidimensional earth is an important and longstanding problem in exploration seismics. In this paper we report the results of applying an attenuation algorithm based on the inverse scattering series to synthetic prestack data sets generated in on and two dimensional earth models. The attenuation algorithm requires no information about the subsurface structure or the velocity field. However, detailed information about the source wavelet is a prerequisite. An attractive feature of: the attenuation algorithm is the preservation of the amplitude (and phase) of primary events in the data; thus allowing for subsequent AVO and other true amplitude processing.

Internal multiple attenuation using inverse scattering: Results from prestack...

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A new and general wave theoretical wavelet estimation method is derived. Knowing the seismic wavelet is important both for processing seismic data and for modeling the seismic response. To obtain the wavelet, both statistical (e.g., Wiener-Levinson) and deterministic (matching surface seismic to well-log data) methods are generally used. In the marine case, a far-field signature is often obtained with a deep-towed hydrophone. The statistical methods do not allow obtaining the phase of the wavelet, whereas the deterministic method obviously requires data from a well. The deep-towed hydrophone requires that the water be deep enough for the hydrophone to be in the far field and in addition that the reflections from the water bottom and structure do not corrupt the measured wavelet. None of the methods address the source array pattern, which is important for amplitude-versus- offset (AVO) studies

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All of the perturbative approaches to multidimensional wave equation processing. for example. wave equation migration (see, e.g., Claerbout, 1971; French, 1975: Schneider, 1978; Stolt, 1978; Sattlegger et al, 1980), or Born approximation inversion (see, e.g., Cohen and Bleistein, 1979; Raz, 1981: Clayton and Stolt, 1981) require some input velocity information. In the Born approximation to inversion, a reference or background velocity is chosena nd a perturbationa boutt his velocity is determined.S imilarly, a velocity model is a required input to all wave equation migration techniques.

Seismic 13- Professor. Arthur B Weglein

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This paper presents a brief review of the various integral equation formuiations that have been employed for the inverse source problem for the inhomogeneous scalar Heimhoitz equation. It is shown that these formulations apply only in cases where either the data are prescribed on a closed surface surrounding the unknown source or where the unknown source lies entirely on one side of an open measurement surface. A generalized integral equation is derived that applies to the more general case where unknown sources can exist on both sides of an open measurement surface. This latter problem arises in geophysical remote sensing and the derived integral equation offers an approach to this class of problems not offered by currently employed techniques.

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In this paper, we present the first non-linear direct target identification method and algorithm for 1D elastic media (P velocity, shear velocity and density vary in depth) from the inverse scattering series. Direct non-linear means that we provide explicit formulas that: (1) input data and directly output changes in material properties, without the use or need for any indirect procedures such as model matching, searching, optimization or other assumed aligned objectives or proxies, and (2) the algorithms recognize and directly invert the intrinsic non-linear relationship between changes in material properties and changes in the concomitant wave-field. The results clearly demonstrate that, in order to achieve full elastic inversion, all four components of data (ˆD PP , ˆDPS, ˆD SP and ˆDSS) are needed. The method assumes that only data and reference medium properties are input, and terms in the inverse series for moving mislocated reflectors resulting from the linear inverse term, are separated from amplitude correction terms. Although in principle this direct inversion approach requires all four components of elastic data, synthetic tests indicate that a consistent value-added result may be achieved given only ˆDPP measurements, as long as the ˆD PP were used to approximately synthesize the ˆD PS, ˆDSP and ˆD SS components. We can reasonably infer that further value would derive from actually measuring ˆD PP , ˆDPS, ˆDSP and ˆD SS as the method requires. For the case that all four components of data are available, we give one consistent method to solve for all of the second terms (the first terms beyond linear). The method’s nonlinearity and directness provides this unambiguous data requirement message, and that unique clarity, and the explicit non-linear formulas casts doubts and reasonable concerns for indirect methods, in general, and their assumed aligned goals, e.g., using model matching objectives, that would never recognize the fundamental inadequacy from a basic physics point of view of using only PP data to perform elastic inversion. There are important conceptual and practical implications for the link between data acquisition and target identification goals and objectives.

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An Extension of Linear Inverse Scattering Methods for Absorptive Media to the...

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Context. WASP-76 b has been a recurrent subject of study since the detection of a signature in high-resolution transit spectroscopy data indicating an asymmetry between the two limbs of the planet. The existence of this asymmetric signature has been confirmed by multiple studies, but its physical origin is still under debate. In addition, it contrasts with the absence of asymmetry reported in the infrared (IR) phase curve. Aims. We provide a more comprehensive dataset of WASP-76 b with the goal of drawing a complete view of the physical processes at work in this atmosphere. In particular, we attempt to reconcile visible high-resolution transit spectroscopy data and IR broadband phase curves. Methods. We gathered 3 phase curves, 20 occultations, and 6 transits for WASP-76 b in the visible with the CHEOPS space telescope. We also report the analysis of three unpublished sectors observed by the TESS space telescope (also in the visible), which represents 34 phase curves. Results. WASP-76 b displays an occultation of 260±11 and 152±10 ppm in TESS and CHEOPS bandpasses respectively. Depending on the composition assumed for the atmosphere and the data reduction used for the IR data, we derived geometric albedo estimates that range from 0.05 ± 0.023 to 0.146 ± 0.013 and from <0.13 to 0.189 ± 0.017 in the CHEOPS and TESS bandpasses, respectively. As expected from the IR phase curves, a low-order model of the phase curves does not yield any detectable asymmetry in the visible either. However, an empirical model allowing for sharper phase curve variations offers a hint of a flux excess before the occultation, with an amplitude of ∼40 ppm, an orbital offset of ∼−30◦ , and a width of ∼20◦ . We also constrained the orbital eccentricity of WASP-76 b to a value lower than 0.0067, with a 99.7% confidence level. This result contradicts earlier proposed scenarios aimed at explaining the asymmetry observed in high-resolution transit spectroscopy. Conclusions. In light of these findings, we hypothesise that WASP-76 b could have night-side clouds that extend predominantly towards its eastern limb. At this limb, the clouds would be associated with spherical droplets or spherically shaped aerosols of an unknown species, which would be responsible for a glory effect in the visible phase curves.

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Elastic Green's Theorem Preprocesing for On-Shore Internal Multiple Attenuation - Arthur Weglein

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