1 ntnu transmission-propagation operator theory. tip-wave superposition method compared to finite...

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1 NTNU Transmission-Propagation Operator Theory. Tip-Wave Superposition Method compared to Finite Differences Method in sub-salt shadow Institute of Petroleum Geology and Geophysics Alena Ayzenberg , NTNU, Norway Wiktor Weibull, NTNU, Norway Nikolay Zyatkov, NSU, Russia Arkady Aizenberg, IPGG, Russia Alexey Stovas, NTNU, Norway

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Poster plan We consider an acoustic V- and U-shaped model simulating a salt overhang and perform a detailed description of the primary wavefield in the sub-salt shadow by TPOT theory and TWSM-modeling The primary wavefield is a superposition of the source wavefield propagating in sediments around the salt body and the double-transmitted wavefield through the salt body. Both the source and double- transmitted wavefield are based on ‘feasible fundamental solutions’ which account for shadow ‘Feasible fundamental solution’ is approximated by truncation of infinite series after 2-term Comparison TWSM with FD for V-model gives 3 percent error after FD-frequency filter Comparison TWSM with FD for U-model demonstrates that it is necessary to add 3-term in the TPOT ‘feasible fundamental solution’ approximation TPOT and TWSM is used to remove multiples 3

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Page 1: 1 NTNU Transmission-Propagation Operator Theory. Tip-Wave Superposition Method compared to Finite Differences Method in sub-salt shadow Institute of Petroleum

1NTNU

Transmission-Propagation Operator Theory.

Tip-Wave Superposition Method compared to Finite Differences Methodin sub-salt shadow

Institute ofPetroleum Geology

and Geophysics

Alena Ayzenberg, NTNU, NorwayWiktor Weibull, NTNU, NorwayNikolay Zyatkov, NSU, Russia

Arkady Aizenberg, IPGG, RussiaAlexey Stovas, NTNU, Norway

Page 2: 1 NTNU Transmission-Propagation Operator Theory. Tip-Wave Superposition Method compared to Finite Differences Method in sub-salt shadow Institute of Petroleum

2

Project members and network

Arkady AizenbergNikolay ZyatkovKamill Klem-Musatov

Wiktor WeibullAlena AyzenbergAlexey StovasYuzhao LinKamal’deen Omosanya NTNU ROSE

Ola-Petter MunkvoldMilana AyzenbergJan Pajchel

Kees Wapenaar

Tijmen Jan Moser, Moser Geophysical Services

Fredrik Andersson

Vladimir KazeiEkkehart TessmerDirk Gajewski

Institute ofPetroleum Geology

and Geophysics

Page 3: 1 NTNU Transmission-Propagation Operator Theory. Tip-Wave Superposition Method compared to Finite Differences Method in sub-salt shadow Institute of Petroleum

Poster plan

We consider an acoustic V- and U-shaped model simulating a salt overhang and perform a detailed description of the primary wavefield in the sub-salt shadow by TPOT theory and TWSM-modeling

The primary wavefield is a superposition of the source wavefield propagating in sediments around the salt body and the double-transmitted wavefield through the salt body. Both the source and double-transmitted wavefield are based on ‘feasible fundamental solutions’ which account for shadow

‘Feasible fundamental solution’ is approximated by truncation of infinite series after 2-term

Comparison TWSM with FD for V-model gives 3 percent error after FD-frequency filter

Comparison TWSM with FD for U-model demonstrates that it is necessary to add 3-term in the TPOT ‘feasible fundamental solution’ approximation

TPOT and TWSM is used to remove multiples

3