Time-depth imaging offshore India
Roberto Fainstein
Stephen F. Traylen
Pavel Vasilyev
Alexander Zarkhidze
Antonio Stempel
WesternGeco
Prestack depth migration (PSDM) projects of regional lines and 3D surveys have a major impact on exploration and development projects offshore India because the technique can reduce risks. PSDM can handle complex structures and rapid vertical and lateral changes in the velocity field, so the resulting images can enhance interpretations compared to those based on the time processing results alone.
Depth imaging (PSDM) displays several advantages compared to time imaging, and anisotropic depth imaging improves isotropic depth imaging. The gathers are flatter, fault paths and displacements are focused, and mis-ties are minimized. Anisotropic updates improve the lateral data resolution through better analyses of gathers, and depth images better resolve the structure and stratigraphy compared to time images. Horizontal projections of time-slices clearly show the geometrical differences between mapping in depth versus mapping in time. For the purpose of seismic interpretation the velocity model derived from this method provides better confidence on the structural dynamics of the seismic section. It must be stressed however that data input to migration processing always needs be performed with full aperture coverage.
Anisotropic depth migration reduces inherent distortions of isotropic depth migration particularly on complex structuring, resulting in improved imaging of faults and of deeper horizons and for allowing the depth section to be tied correctly to well data. This technique has been used extensively in offshore India to reduce exploration and development risk in these complex structures.
Optimally, input to PSDM is time pre-processed seismic data and unsmoothed final velocities either from NMO/DMO (normal moveout and dip moveout) legacy stacks or from a contemporaneous Prestack Time Migration (PSTM) workflow. These velocities are then converted to interval velocity in depth and subsequently smoothed. The initial velocity model is built using these velocities. The depth imaging workflow consists of multiple iterations of PSDM and reflection tomography-based velocity analysis of residual moveout on common image point gathers (CIP gathers) with final calibration to well data.
Data is from modern marine 3D Q-surveys conducted with long spreads. These, together with new technologies employed in data processing, have brought remarkable improvements in imaging resolution of the key components of deepwater petroleum systems. Interpretive comparisons have been made for time-depth migrations over deepwater turbidite reservoirs of the Krishna-Godavari, Cauvery, and Mahanadi basins off the east coast of India and further east off the Andaman–Nicobar islands. Additional comparisons have been made off the west coast in the shallow water carbonates of the Mumbai Offshore Province and in the Kerala-Konkan basin in deeper waters. The latter is a frontier area were the aim is visualization of the Mesozoic strata buried under the late Cretaceous flood basalts of the Deccan Traps.
Generalized stratigraphy of the west coast Mumbai High consisting mostly of carbonates and shales. This differs greatly compared with the stratigraphy of the east coast Krishna-Godavari basin. Distal reservoirs of the K-G basin are Miocene/Pliocene submarine fan and channel-levee complexes.
Offshore discoveries
Currently three of the hydrocarbon basins produce: the Mumbai offshore basin off the west coast, and the Cauvery and Krishna-Godavari basins off the east coast. In addition, there are deepwater discoveries being evaluated in the K-G, Cauvery, Mahanadi, and Bengali basins in the east coast and attractive prospects in the Andaman Sea.
The stratigraphic columns of the east coast basins are strikingly similar, with successive sequences of open marine clastics laid down during the Upper Cretaceous, Tertiary, and Plio-Pleistocene. The west coast basins differ because carbonates predominate. The stratigraphy of continental margin basins reflects the evolutionary phases of subcontinental migration and marginal basin accretionary processes during India’s continental drift.
In the east coast, abundant sedimentation occurred after the Eocene with thick sediment wedges in the Oligocene essentially partitioning the deeper water realm from the associated sediments onshore. The basins generally are broad drape anticlines. Most structures along the eastern continental margin of India consist of rotated seaward-tilted faulted blocks with anticline and roll-over features formed in association with block-bounding listric faults.
The west coast carbonates were deposited in several pulses of marine transgression associated with vertical uplift of the basins. The typical seismic section off the west coast differs sharply from the east coast types due to the distinct phases of sediment accumulation in the Arabian Sea.
Processing overview
As mentioned, the best input to PSDM is pre-processed seismic data and unsmoothed final velocities from NMO/DMO legacy stacks or from a contemporaneous PSTM workflow. These velocities are converted to interval velocity in depth and subsequently smoothed. The initial velocity model is built using these velocities. The depth imaging workflow consists of multiple iterations of PSDM and reflection tomography based velocity analysis of residual moveout on common image point gathers (CIP gathers) with final calibration to well data.
Once the final velocity model is built and CIP gathers are flat at the correct depth, the full isotropic depth migration is run. If there are indications of anisotropy, the anisotropic parameters are estimated and propagated through the velocity model during model building for a final anisotropic migration. Interpretation mapping of the PSTM/PSDM paired images provides for new enhanced domain with 3D structure and stratigraphic features correctly placed in depth and adding new parameters to visualize deepwater drilling.
Tomography workflow
Grid-based CIP tomography uses all the primaries at all horizons (Schulz and Canales, 1997). This can handle non-hyperbolic events, mainly velocity anisotropy. The tomography workflow begins with a velocity model derived from the stacking velocities obtained from the PSTM processing. First, an accurate water depth is picked on the PSTM stack converted to depth. The final RMS velocity is converted to interval velocity in depth and is smoothed to build the velocity model. If the gathers are flat, the velocity model is inherently correct and gives rise to the initial PSDM section. However, gathers usually are not flat so further iterations are necessary to correct the residual move-out.
This requires selected residual non-hyperbolic events to be input to 3D-ray-traced linear tomography equations; the solution represents the velocity model update for the iteration under consideration. This is followed by another PSDM step using the new, updated velocity model.
The initial iterations of CIP-tomography are parameterized such that velocity updates are done using large-scale lengths. Choice of scale length depends on lateral and vertical (anisotropic) velocity variations. As the velocity model improves through successive iterations, progressively smaller scale lengths resolve the finer details in the velocity field.
Anisotropy estimation
From the initial velocity model, up to four isotropic iterations are run. Anisotropic coefficients, Epsilon and Delta, can be calculated using the time-depth curve from well data (Ball, 1995; Kirtland Grech et al., 2001). Vertical transverse isotropy (VTI), also called polar anisotropy, is caused by sedimentary layering, whereas intrinsic anisotropy is due to clay particle alignments (shale) during deposition. In anisotropic media, compression wave seismic migration velocity changes with the angle of propagation, as given by the Thomsen equation.
Vp (θ) = Vv (1+δ Sin2 θ Cos2 θ + ε Sin4 θ)
The isotropic gathers indicate the peak event flattens but it doesn’t tie to the top-carbonate depth marker in the well; the trough event also flattens but does not tie to the top-reservoir depth marker in the well. After correcting for anisotropy, the events flatten and the peak ties to the depth of the top of the carbonate marker in the well and the trough ties to the top of the reservoir in the well. Anisotropic updates are run to develop a final velocity model, which is then converted to the final anisotropic PSDM section.
PSTM vs. PSDM
Although interpretation is still conducted on time sections, the inherent distortions these bring need to be understood. In time migration (post-stack or pre-stack) the velocity profile is retrieved at the CMP and the program either computes the travel time via the DSR equation (straight ray) or ray traces through the local model (curved ray). No lateral velocity changes are discerned; the ray path is always symmetric for a flat event (1D velocity model). Upon depth migration, a full travel-time table is built externally. The travel-time generator program comprehends velocity changes both vertically and laterally. The migration program retrieves the travel-time from the table to move the sample. The ray path can be nonsymmetric even for a flat reflector (3D velocity model).
Post-migration processing
One historical paradigm is the interpretation of volumes of data exclusively in time section. This view is changing and geophysics is entering a new phase in which interpreters tend towards exclusive use of depth sections.
Post-migration processing consists of the following steps:
- 1) Sort the migrated offsets to CMP
- 2) Convert to time
- 3) Run a residual multiple attenuation filter with Hi-Res Radon
- 4) Conduct primal, inverse Q, outside mute
- 5) SRAC, TVF, RAAC processing.
This results in the APSDM stack. This section then gets spectral whitening frequency enhancement and time variant filtering. At this point the newly obtained APSDM is final. The example indicates the improvement in the imaging of the Tertiary strata above basalt flood and of the Mesozoic strata under the basalt off the west coast of India.
References
Ball, G., 1995, Estimation of anisotropy and anisotropic 3-D prestack depth migration, offshore Zaire, Geophysics 60, 1495-1513.
Fainstein, R., Banik, N.C. and Broetz, R. J., 2008, “Examination of evolving hydrocarbon exploration technology in India”, Regional Technology Center – RTC, Mumbai, 57 pp.
Kirtland Grech, M.G., Cheadle, S. and Lawton, D. C., 2001, Integrating borehole information and surface seismic for velocity anisotropy analysis and depth imaging: The Leading Edge, 20, no. 5, 519-523.
Schultz, P. and Canales, L., 1997, Seismic velocity model building: CE in Dallas, 2 November: The Leading Edge 16, no. 7, 1063-1064

