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Double-square-root equation/es

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Proceedings Papers

Paper presented at the 2012 SEG Annual Meeting, November 4–9, 2012
Paper Number: SEG-2012-1030
... we propose a double-square root traveltime approximation for converted waves from a curved interface. This approximation is appropriate for large offsets. In the special case of monotypic waves it gives comparable results with other multi-parameter moveout formulas. Furthermore, we demonstrate that a...
Proceedings Papers

Paper presented at the 2013 SEG Annual Meeting, September 22–27, 2013
Paper Number: SEG-2013-1173
... SUMMARY The double-square-root (DSR) equation can be viewed as a Hamilton-Jacobi equation describing kinematics of downward data continuation in depth. It describes simultaneous propagation of source and receiver rays which allows computing reflection wave prestack traveltimes (for multiple...
Proceedings Papers

Paper presented at the 2013 SEG Annual Meeting, September 22–27, 2013
Paper Number: SEG-2013-0322
...Exploring imaging capabilities of the extended prestack wave eld Tariq Alkhalifah, Zedong Wu, KAUST, Saudi Arabia, and Sergey Fomel, University of Texas at Austin SUMMARY The dynamic form of the double square-root (DSR) equation provides a mechanism to extrapolate prestack wave elds by moving the...
Proceedings Papers

Paper presented at the 2013 SEG Annual Meeting, September 22–27, 2013
Paper Number: SEG-2013-0288
..., 2809 2813. de Hoop, M. V., J. H. Le Rousseau, and B. L. Biondi, 2003, Symplectic structure of wave-equation imaging: A path-integral approach based on the double -square-root equation: Geophysical Journal International, 153, no. 1, 52 74, httpdx.doi.org/101046/j.1365-246X.2003.01877.x. Etgen, J., S...
Proceedings Papers

Paper presented at the 2012 SEG Annual Meeting, November 4–9, 2012
Paper Number: SEG-2012-0925
... procedures with the survey-sinking or double-square-root (DSR) formulation of the wave equation (Claerbout, 1985; Popovici, 1996; de Hoop et al., 2003) provides a straightforward connection between the image and the data, free of the cross-correlation imag- ing step. A limitation of the DSR formulation is...
Proceedings Papers

Paper presented at the 2011 SEG Annual Meeting, September 18–23, 2011
Paper Number: SEG-2011-3017
... ABSTRACT Most prestack traveltime relations we tend work with are based on homogeneous (or semi-homogenous, possibly effective) media approximations. This includes the multi-focusing or double square-root (DSR) and the common reflection stack (CRS) equations. Using the DSR equation, I analyze...
Proceedings Papers

Paper presented at the International Petroleum Technology Conference, March 23–April 1, 2021
Paper Number: IPTC-21436-MS
...) The goal is prediction/classification or understanding which predictors are useful? How and Where is there "interesting" structure? The accuracy for predicting regression (continuous target) is the correlation coefficient (R 2 ), and the expected root mean squared error; while the accuracy of the...
Journal Articles
Journal: SPE Journal
SPE Journal (2021)
Paper Number: SPE-205029-PA
Published: 10 February 2021
... the ensemble size's square root because a larger N reduces the sampling errors in the covariance estimation; its drawback is higher computational costs. For a detailed explanation on the threshold estimation, refer to Luo et al. (2018a ) and Luo and Bhakta (2020) . After obtaining the...
Journal Articles
Journal of Ship Research 64 (03): 266–277.
Paper Number: SNAME-JSR-02190008
Published: 18 September 2020
... by penalized least squares (LS). Here, Fns¼U= ffiffiffiffiffiffiffiffiffiffiffiffiffi g lpps p is the Froude number (g, acceleration of gravity) and es is the independent zero-mean Gaussian noise with variance 2s : The variables bs, ds, and tlcs are divided by the ship length lpps to make them...
Proceedings Papers

Paper presented at the SNAME Maritime Convention, September 29–October 2, 2020
Paper Number: SNAME-SMC-2020-075
...: = , = , (4) The second fundamental form II is computed as follows: = 2 + 2 + 2, (5) = = = (6) where and denote the partial differential equations defined as follows: = 2 2 , = 2 , = 2 2 , (7) where denotes the normal vector at the point obtained by: = , (8) The roots of the...
Proceedings Papers

Paper presented at the SPE Latin American and Caribbean Petroleum Engineering Conference, July 27–31, 2020
Paper Number: SPE-198994-MS
... in the upscaled flow model as each type of SRV contributes differently to the overall production. The variation of flow enhancement is apparent in well test analysis as several slopes of pressure versus square root of time in log-log plot are observed (see Figure 5 ). Suliman et al. correlate the...
Proceedings Papers

Paper presented at the SNAME Maritime Convention, October 30–November 1, 2019
Paper Number: SNAME-SMC-2019-081
... about the behavior of a system can be made with the minimum use of resources (Telford 2007). Enabling optimization and gaining insight into the behavior of complex engineering systems are major areas of DOE utilization. Although DOE has its roots in physical experiments, physical experimentation is not...
Proceedings Papers

Paper presented at the SNAME Maritime Convention, October 30–November 1, 2019
Paper Number: SNAME-SMC-2019-078
... approximation. It is essentially the square root of the restoring coefficient divided by the summation of mass of the fluid domain and the added mass of the upper and lower domains during free fluid heaving motion within the moonpool. We intersect the frequency = with the natural frequency model in Eq. 7, in...
Proceedings Papers

Paper presented at the SEG International Exposition and Annual Meeting, September 15–20, 2019
Paper Number: SEG-2019-3216200
... measured S-wave velocity. Its average prediction accuracy is up to 96% for the complex reservoir, and the root mean square error is 8.1. The average prediction accuracy of the Xu-White model and DEM-Gassmann model is only 93% and 94.5%, respectively. In addition, The Xu-White model did not perform well in...
Proceedings Papers

Paper presented at the 2000 SEG Annual Meeting, August 6–11, 2000
Paper Number: SEG-2000-0842
... Summary The double square root (DSR) equation for laterally varying media in midpoint-offset coordinates provides a convenient framework for developing efficient 3-D prestack wave equation depth migrations with screen propagators. Common offset pseudo-screen depth migration is a fast and...
Journal Articles
SPE Drilling & Completion 34 (04): 458–467.
Paper Number: SPE-197041-PA
Published: 19 July 2019
.... 2018c ). Especially in the case of deepwater and ultradeepwater wells, in which retrieving and deploying a BOP take significant time, BOP–related faults and failures are the root cause of almost half of the unplanned downtime on the rig. Failure events caused by the BOP control system, such as control...
Journal Articles
Journal of Ship Research 63 (02): 130–142.
Paper Number: SNAME-JSR-2019-63-2-130
Published: 01 June 2019
...: FnonðtÞ¼ 4FðtÞ gDHl; (11) Then, the average amplitude of the force was computed based on the root mean square force Frms given by the following equation: Famp ¼ ffiffiffi 2 p Frms ¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2 T ð T 0 F2nonðtÞ dt vuut ; (12) where...
Proceedings Papers

Paper presented at the The 29th International Ocean and Polar Engineering Conference, June 16–21, 2019
Paper Number: ISOPE-I-19-005
... plotted in Figure 4 at the focus location (x = 4.25). In previous work (Brown et al., 2019), the convergence of the mesh was determined using a single root mean square (RMS) parameter. In this work, multi- ple criteria, based on parameters which will be supplied to the CCP-WSI Blind Test Series 3, are...
Journal Articles
Journal of Sailing Technology 3 (12): 1–37.
Paper Number: SNAME-JSBT-2014-01
Published: 12 April 2019
... the suspension. The variation of the two periods with l1 is thus given by the second square root, leaving the periods to scale with 2l . Differentiating equation (19) to derive 1pk T and 2pk T , and then assuming that the uncertainties ± T in both periods are the same, leads to ( ) ( )21p p pk T...
Journal Articles
Petrophysics - The SPWLA Journal of Formation Evaluation and Reservoir Description 60 (02): 208–227.
Paper Number: SPWLA-2019-v60n2t2
Published: 01 April 2019
... square root, viz., (Archie s Eq. (5) and (Archie s Eq. (6 That is the full explanation of Archie s contribution as he introduced it in 1941. It seems an obvious step given that he has written down Archie Eq. (4) as Rt = R0Sw -n to then substitute Archie Eq. (3) R0 = Rw -m to produce the combined...

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