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1.
Iterative seismic inversion   总被引:4,自引:0,他引:4  
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Multiscale seismic tomography   总被引:5,自引:0,他引:5  
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Simultaneous inversion of seismic data   总被引:2,自引:0,他引:2  
Summary. The resolving power of different data sets, consisting of surface-wave dispersion measurements and S travel times, are compared for a continental structure. The shear velocity in the low-velocity zone can be resolved in some detail with higher-mode phase-velocity data. Sufficient resolution for small density contrasts (0.03 g cm−3) until depths of ∼ 300 km can be reached if higher-mode group velocities are available as well, even at a precision as low as 0.10 km/s. At greater depths the density is not resolved, and here travel-time data are superior to higher modes in resolving the shear velocity.  相似文献   

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Synthesis of seismic surface waves   总被引:1,自引:0,他引:1  
Summary. The reflection method is used to produce complete sets of Rayleigh wave dispersion curves in a given phase velocity—frequency window for horizontally stratified media, including modes of very high numerical order, and theoretical surface wave seismograms are then synthesized.
The difficulties encountered when attempting to complete large numbers of dispersion curves are discussed. Particular problems arise from models with a low-velocity zone, when curves in a certain portion of the dispersion diagram split into two families, the crustal and the channel modes. The reflection method provides a convenient framework in which to examine this phenomenon heuristically and so devise a method to overcome the difficulties.
Seismograms are produced by mode summation and it is found that body-wave behaviour, as well as surface-wave features can be synthesized. The effect of truncating the mode series at a number comparable with the number of modes used in previous studies is examined. It is found that although the S -coda at longer ranges is not adversely affected, the arrivals attributable to body-waves are severely distorted. This must call into question the validity of synthetic seismograms generated by summation of only a few modes.  相似文献   

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A general one-way representation of seismic data can be obtained by substituting a Green's one-way wavefield matrix into a reciprocity theorem of the convolution type for one-way wavefields. From this general one-way representation, several special cases can be derived.
By introducing a Green's one-way wavefield matrix for primaries , a generalized Bremmer series representation is obtained. Terminating this series after the first-order term yields a primary representation of seismic reflection data. According to this representation, primary seismic reflection data are proportional to a reflection operator, 'modified' by primary propagators for downgoing and upgoing waves. For seismic imaging, these propagators need to be inverted. Stable inverse primary propagators can easily be obtained from a one-way reciprocity theorem of the correlation type.
By introducing a Green's one-way wavefield matrix for generalized primaries , an alternative representation is obtained in which multiple scattering is organized quite differently (in comparison with the generalized Bremmer series representation). According to the generalized primary representation, full seismic reflection data are proportional to a reflection operator, 'modified' by generalized primary propagators for downgoing and upgoing waves. Internal multiple scattering is fully included in the generalized primary propagators {either via a series expansion or in a parametrized way). Stable inverse generalized primary propagators can be obtained from the one-way reciprocity theorem of the correlation type. These inverse propagators are the nucleus for seismic imaging techniques that take the angle-dependent dispersion effects due to fine-layering into account.  相似文献   

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A seismic re fraction/wide-angle reflection profile is analysed for the presence of correlated events ('phases'). The correlation problem is formulated in terms of temporally, spatially and frequency-local complex covariances. For robustness, the method concentrates on phase rather than amplitude information. This allows a computationally efficient algorithm that can make allowance for signal correlation length and can model curved wavefronts. A statistical test based on residual phase misfit across the analysed subarray is used to assess the probability that a detected event represents a real correlated signal.
With our chosen analysis parameters and confidence level (over 99.9 per cent). 1222 events were detected in the data. Using simple techniques based on 1-D earth models, detected events are associated with a small number of particular wave types. In this way, we have succeeded in classifying almost 95 per cent of the detected events. Those that remain describe those components of the data that are inconsistent with our simple ray paths in the 1-D assumption and with our prescribed tolerance. These include reverberations, near-surface guided waves and reflected waves from strongly laterally inhomogeneous structures. According to our modelling, about 25 per cent of the detected events are consistent with simple P -wave reflected energy, and these are to a very large extent (over 85 per cent) distinct from all the other wave-type models we have used. A direct mapping of the detected events into the offset-depth domain reveals dear internal and external consistencies among the detections for the various wave types. Estimated earth structure is consistent with models from previous analyses based on much larger data sets.
We have thus succeeded in extracting correlated events from the data and decomposing these, approximately but meaningfully, into distinct classes (ray paths)  相似文献   

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Optimal estimation of scalar seismic moment   总被引:1,自引:0,他引:1  
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Borehole logs often show considerable variation over small lengths, consistent with fine layering of the formation. Elastic upscaling allows layering on a fine length scale to be replaced by thicker, homogeneous equivalent transversely isotropic layers, thus creating a model with far fewer layers. In this paper, the effect of inclusions of finite lateral extent on elastic upscaling is examined. For inclusions with a small thickness to width ratio, Backus averaging gives a good approximation to the long-wavelength elastic properties of the medium. However, for larger thickness to width ratios, the anisotropy of the medium can be significantly reduced. For inclusions that are long in comparison to their width, azimuthal anisotropy may result if the inclusions show a preferential orientation. This could result from the presence of flow during deposition. The azimuthal anisotropy increases with increasing thickness to width ratio of the inclusions, and vanishes when this ratio is zero. For larger thickness to width ratios, the magnitude of the azimuthal anisotropy may be of similar magnitude to that commonly seen in sedimentary basins. Azimuthal anisotropy is usually attributed to the presence of aligned fractures within the formation. The present results suggest a further source of azimuthal anisotropy that may be significant.  相似文献   

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Reweighting strategies in seismic deconvolution   总被引:2,自引:0,他引:2  
Reweighting strategies have been widely used to diminish the influence of outliers in inverse problems. In a similar fashion, they can be used to design the regularization term that must be incorporated to solve an inverse problem successfully. Zero-order quadratic regularization, or damped least squares (pre-whitening) is a common procedure used to regularize the deconvolution problem. This procedure entails the definition of a constant damping term which is used to control the roughness of the deconvolved trace. In this paper I examine two different regularization criteria that lead to an algorithm where the damping term is adapted to successfully retrieve a broad-band reflectivity.
Synthetic and field data examples are used to illustrate the ability of the algorithm to deconvolve seismic traces.  相似文献   

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Thermodynamic constraints on seismic inversions   总被引:5,自引:0,他引:5  
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Ellipticity corrections for seismic phases   总被引:1,自引:0,他引:1  
The advent of broad-band seismology has meant that use is being made of a wide range of seismic phases, for many of which ellipticity corrections have not been readily available. In particular, when many seismic phases are used in location schemes, it is important that the systematic effects of ellipticity are included for each phase.
An efficient and effective procedure for constructing ellipticity corrections is to make use of the ray-based approach of Dziewonksi & Gilbert (1976), as reformulated by Doornbos (1988), in conjunction with the rapid evaluation of traveltimes and slownesses for a given range using the tauspline procedure of Buland & Chapman (1983).
Ellipticity coefficients have been tabulated for a wide range of seismic phases and are available in electronic form. The ellipticity correction procedures have been extended to include an allowance for diffraction phenomena, for example P diff, S diff diffracted along the core-mantle boundary. Corrections for additional phases can be generated by building the ellipticity coefficients from suitable combinations of the coefficients for different phase segments.  相似文献   

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The relative efficiencies of alternative geometric patterns of both discrete borehole and continuous grid line search have been extensively discussed in the mathematical geology literature. However, an equally important problem has received virtually no attention: How to use a sample of properties of geologic anomalies detected by grid line search of a region to estimate systematically both the number and size distribution of geologic anomalies missed by the search. We show how estimation methods developed in the sample survey design literature can be adapted to this problem, and we apply these methods to data describing 94 anomalies identified by a seismic reconnaissance survey.  相似文献   

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