TY - GEN

T1 - Extended exploding reflector concept for computing prestack traveltimes for waves of different type in the DSR framework

AU - Duchkov, Anton A.

AU - Serdyukov, Alexander S.

AU - Alkhalifah, Tariq Ali

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2013/8/19

Y1 - 2013/8/19

N2 - 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 sources) in a one run thus speeding up solution of the forward problem. Here we give and overview of different alternative forms of the DSR equation which allows stepping in two-way time and subsurface offset instead of depth. Different forms of the DSR equation are suitable for computing different types of waves
including reflected, head and diving waves. We develop a WENO-RK numerical scheme for solving all mentioned forms of the DSR equation. Finally the extended exploding reflector concept can be used for computing prestack traveltimes while initiating the numerical solver as if a reflector was exploding in extended imaging space.

AB - 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 sources) in a one run thus speeding up solution of the forward problem. Here we give and overview of different alternative forms of the DSR equation which allows stepping in two-way time and subsurface offset instead of depth. Different forms of the DSR equation are suitable for computing different types of waves
including reflected, head and diving waves. We develop a WENO-RK numerical scheme for solving all mentioned forms of the DSR equation. Finally the extended exploding reflector concept can be used for computing prestack traveltimes while initiating the numerical solver as if a reflector was exploding in extended imaging space.

UR - http://hdl.handle.net/10754/593670

UR - http://library.seg.org/doi/abs/10.1190/segam2013-1173.1

UR - http://www.scopus.com/inward/record.url?scp=85058132825&partnerID=8YFLogxK

U2 - 10.1190/segam2013-1173.1

DO - 10.1190/segam2013-1173.1

M3 - Conference contribution

SN - 9781629931883

SP - 4661

EP - 4665

BT - SEG Technical Program Expanded Abstracts 2013

PB - Society of Exploration Geophysicists

ER -