Data‐driven tomographic inversion of focusing operators

Cox, Barbara; Verschuur, D.J.

doi:10.1190/1.1816732

Cited by 18 publications

(24 citation statements)

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“…In order to correctly interpret the subsurface structures, the depth of this datum needs to be known. This can be extracted from the estimated redatuming operators, which describe one-way propagation through the near surface layer, via a tomographic inversion process, such as described by Cox and Verschuur (2001) or Chitu et al (2008).…”

Section: Discussionmentioning

confidence: 99%

Multi-datum based estimation of near-surface full-waveform redatuming operators

Vrolijk

Haffinger

Verschuur

2012

Journal of Applied Geophysics

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Section: Discussionmentioning

confidence: 99%

Multi-datum based estimation of near-surface full-waveform redatuming operators

Vrolijk

Haffinger

Verschuur

2012

Journal of Applied Geophysics

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“…However, in the data-driven concept, Green's functions are estimated from the data first, optionally followed by the operator-driven version of migration (Berkhout 1997). Next, the velocity model is constructed from these Green's functions by tomographic inversion (Cox 2004). In a following pass through the value chain, this velocity model is available for velocity-driven migration.…”

Section: H I E R a R C H Y I N T H E S E I S M I C Va L U E C H A I Nmentioning

confidence: 99%

The data‐driven seismic value chain, providing a business context for the velocity issue

Berkhout

2004

Geophysical Prospecting

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A B S T R A C TEffective communication between seismic specialists should be facilitated by a shared process model that can be used at different levels of abstraction. In this shared model the seismic work-flow is presented as a value chain, showing the complex interrelationships between the broad range of specialized activities that are needed in today's practice. One of these activities is velocity estimation, providing the relationship between seismic time and geological depth. Excellence in the seismic value chain will depend on the quality of the specialized tools and skills (abilities) involved, as well as on the capability of the organization to combine these abilities in an integrated work-flow to realize maximum value at the end of the chain. I N T R O D U C T I O NThe increased complexity of work-flows in the E&P sector is caused by the many 'horizontal' interactions that must be included nowadays. Problems cannot simply be subdivided into disciplinary subproblems, followed by an independent solution process for each of these subproblems. We now know that such a segmented business approach easily leads to the wrong formulation of the subproblems involved and, above all, the sum of suboptimized solutions seldom leads to the best end result. Today, disciplinary fragmentation is the worst enemy of progress.In highly competitive industrial sectors such as the electronics industry, innovation has not only created new technology but it has also led to new concepts about how to organize multidisciplinary business processes in a value chain. In these business processes, clear targets are set at the end of the value chain and strategic projects are designed for each target by extrapolating back into the value chain (road mapping), fostering strong disciplinary interdependences and ignoring traditional vertical boundaries in the organization. In this way, members of project teams are carefully chosen, so as to obtain the appropriate knowledge and skills. Thus the key question In multidisciplinary business processes, communication is a critical success factor. Each discipline, however, has developed its own internal jargon, making interdisciplinary communication very difficult. In addition, each discipline has its own set of specific methods and tools that require specialized skills. It is clear that true interaction will not take place if team members continue to communicate in their own detailed jargon. Experience has shown that communication in disciplinary teams is fundamentally different from communication in interdisciplinary teams. Interdisciplinary communication requires the use of conceptual models, where essentials are shown and details are hidden. If desirable, more detail can be revealed by moving to a lower level of abstraction in the model. Interaction between disciplines that are very different from one another, for example, geophysics and geo-engineering, requires communication at the highest level. However, within one specialization, for example, seismic migration, communication must include the l...

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“…Cox and Verschuur (2001) use tomographic inversion to extract a velocity model from the updated operators, and Kabir…”

Section: Introductionmentioning

confidence: 99%

Estimating the elastic parameters of anisotropic media using a joint inversion of P‐wave and SV‐wave traveltime error

Ferguson¹,

Sen

2004

Geophysical Prospecting

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A B S T R A C TA method is presented to estimate the elastic parameters and thickness of media that are locally laterally homogeneous using P-wave and vertically polarized shearwave (SV-wave) data. This method is a 'layer-stripping' technique, and it uses many aspects of common focal point (CFP) technology. For each layer, a focusing operator is computed using a model of the elastic parameters with which a CFP gather can be constructed using the seismic data. Assuming local homogeneity, the resulting differential time shifts (DTSs) represent error in the model due to anisotropy and error in thickness. In the (τ − p) domain, DTSs are traveltimes τ that connect error in layer thickness z, vertical slowness q, and ray parameter p. Series expansion is used to linearize τ with respect to error in the elastic parameters and thickness, and least-squares inversion is used to update the model.For stability, joint inversion of P and SV data is employed and, as pure SV data are relatively rare, the use of mode-converted (PSV) data to represent SV in the joint inversion is proposed. Analytic and synthetic examples are used to demonstrate the utility and practicality of this inversion. I N T R O D U C T I O NCommon focal point (CFP) technology (Berkhout 1997; Berkhout and Verschuur 2001) is a useful tool in exploration seismology. CFPs are selected for reflectors of interest, and operators are used to back-propagate the reflection data to the CFPs. The resulting CFP gathers are then cross-correlated in time (i.e. moveout-corrected) with their corresponding focusing operators (computed by forward-propagating models of the seismic sources). For operators that exactly mimic wave propagation from the source and receiver locations to the CFP, energy corresponding to specular reflection aligns at zero-lag on the moveout-corrected CFP gather. The amplitude of this energy is a measure of the reflectivity at the CFP location, and it can be analysed as such or summed into an average reflectivity for imaging (de Bruin, Wapenaar and Berkhout 1990). Misalignment, or differential time shift (DTS), is the result of error in estimating the heterogeneity and anisotropy of the medium above. In strict adherence to the CFP method, DTSs are used in imaging to update the one-way traveltime operators (focusing operators) instead of the underlying velocity model (Berkhout and Verschuur 2001).Apart from the CFP method, other methods have been used in attempts to estimate velocity heterogeneity for isotropic media. Cox and Verschuur (2001) use tomographic inversion to extract a velocity model from the updated operators, and Kabir

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Data‐driven tomographic inversion of focusing operators

Cited by 18 publications

References 0 publications

Multi-datum based estimation of near-surface full-waveform redatuming operators

Multi-datum based estimation of near-surface full-waveform redatuming operators

The data‐driven seismic value chain, providing a business context for the velocity issue

Estimating the elastic parameters of anisotropic media using a joint inversion of P‐wave and SV‐wave traveltime error

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