Stuart Henrys and Stephen Bannister
Institute of Geological and Nuclear Sciences, 69 Gracefield Rd.,
PO Box 30-368, Lower Hutt, New Zealand
Presented at the Deep Seismic Imaging of the Continents and Their Margins 2000 conference, Ulvik, Norway, June 18-23.
We used seismograms from 501 A-quality events in two earthquake sequences, recorded by a small temporary deployment, to directly image the structure and multi-phase reflectivity of the plate interface. Gathers of vertical seismograms from the relocated events, and corresponding synthetics, show reflections and converted waves traveling upward from the 20 km-deep interface.
Kirchhoff-summation image sections computed from synthetics show accurate depth imaging of back-scattering interfaces. Phase-converting interfaces imaged with forward-scattered waves are smeared by poor ray coverage to 5 km depth inaccuracy, and are only imaged over a small range of their horizontal extent. From the data we computed image sections for P-P, S-P, and S-S scattering. The imaging artifacts due to poor ray coverage we mitigated with an obliquity factor, an antialiasing criterion, and enhancement by resampling statistics. Imaging used a sharply layered velocity model. We tested for the effects of imaging with first-arriving headwaves by imaging through smoothly varying velocity models. For our ray geometry early-arrival headwaves contribute little to the images.
The plate interface appears as a 3-5 km-thick P-P and possibly S-S back-scatterer with 5-degree NW dip, offset 5 km down-to-the-NW above a normal fault in the slab. When illuminated from below, a wedge of the interface on the downdip side of the slab fault forms a very prominent P-P forward scatterer. The edges of the wedge forward-scatter some S-P and S-S energy, but an order of magnitude less than the P-P forward scattering. The imbalances between forward-scattering of P and S energy suggest a wedge of subducted sediment retaining significant porosity, but without much loss of rigidity relative to surrounding rocks.
This work is a collaboration with Stuart Henrys and Stephen Bannister of the Institute for Geological and Nuclear Sciences in Wellington, New Zealand. We thank Russell Robinson of IGNS for providing his earthquake relocations and velocity model. Louie enjoyed sabbatical support as well from the Victoria University of Wellington.
We examine a west-directed, northwest-dipping subduction zone at the
Hikurangi margin, where Pacific oceanic crust subducts under the Australian
plate continental fragment of New Zealand's North Island.
The Hikurangi is at the south end of the Tonga-Kermadec system.
It was examined to the northeast at East Cape (the Raukumara peninsula) recently by Eberhart-Phillips and Reyners of IGNS, who found a 1-2 km thick plate interface with a high Vp/Vs ratio of 2, from S-P converted waves.
We look closer to Wellington, at a sequence of M6 events and aftershocks
near a town called Weber.
We use a reflection imaging technique, which has resolution only where
we have an array of both sources and receivers.
We have the New Zealand national network, mostly more than 100 km from
Weber, courtesy of Terry Webb of IGNS.
Thanks to Russell Robinson we also have data from a 10-station portable
deployment by IGNS, and 500 events. We will use distances to 70 km.
The first event was the M6.2 Weber I in Feb. 1990, a steep-NW-dipping normal fault
in the slab below the 20 km deep plate interface.
That was followed 3 months later by the M6.4 Weber II event, which was a
shallow-dipping southeast-directed thrust above the interface.
For imaging we use ~200 Weber I aftershocks in the lower plate, and Weber II and about 300 of its aftershocks in the upper plate. All hypocenters are quality-A, done by Russell Robinson. Robinson also found that the data could determine a 1-d velocity model quite well, but did not contain 3-d velocity constraints.
Robinson showed that composite mechanisms of each sequence were very similar to the mechanisms of the mainshocks.
First we will image a 50-km-long dip section across the area of best coverage.
Later we will look at a 25-km-wide volume image.

We would prefer to see obvious back-scattered coherent arrivals in this
single-receiver gather of 250 Weber I events.
There are hints of this, highlighted in brown, that we could probably enhance
with velocity filters or with a dip-filtering imaging process.
At this point we prefer to let the imaging procedure itself identify
the coherent energy that fits the time imaging conditions of our migration.
In this part of the Hikurangi we do not see the strong S-P conversions that Eberhart-Phillips and Reyners saw to the northwest. Such energy would be parallel to and between the blue lines.
We use only the vertical receiver components, although 3 components are available. Data quality from the gain-ranged portables and permanent stations is superb, with no clipping.

We are not locating faults by locating aftershock hypocenters.
We are using the events as sources of energy to illuminate other
structures, away from the ruptured faults.
We examine both forward-scattering and back-scattering of this illumination.
Given an arrival from a certian source at a station at a given time, we assume it diffracted from some point on an ellipsoid with the source and receiver as foci. For the long cigar-like ellipsoids the back-scattering occurrs near the tip and butt of the cigar, with forward scattering occurring around the belly.
Although we include here both forward- and back-scattered waves, it takes many sources, many receivers and many ellipoids to define a structure well. Thus we can only image a limited volume between an event swarm and a receiver array, or below both.
This is a test with synthetic elastic events in the 1-d velocity model from
Robinson.
Interfaces below sources only focus where ``depth point'' coverage is excellent, with incomplete source deconvolution resulting in ~2 km depth uncertainty.
The focusing of overlying interfaces from forward-scattered waves is very poor. Only the presence of a scatterer is suggested, with more than 5 km placement uncertainty within the section.
The enhancement procedure involves migrating noise estimated from the data
by resampling, as well as the data.
Harlan, Claerbout, and Rocca's Bayesian statistics compute where the section
is determined from the most coherent events in the receiver gathers.
Then we de-emphasize the parts of the migrated section without good
pre-migration coherency.
We also apply Claerbout and Lumley's migration operator antialiasing criterion,
with an assumption of shallowly dipping structure.

These 4 dip sections show the multicomponent migration of P-P, P-S,
S-P, and S-S scatterers.
These are mostly back-scattered images using the shallow Weber II
sources.
Below are mostly forward-scattered images using the deep Weber I sources.
We've superimposed a northeastward view into the focal sphere. The refracted nodal plane of the Weber I events is clear between the blue negative and red positive reflectivities in the forward-scattered image at the lower left. We have not corrected for phase shifts around the focal sphere.
Resolution is best for P-P backscatter below the Weber II sequence, illuminating the slab interface in some detail. These details are similar in the S-S image. The S-P backscatter, using only arrivals between the P and S arrival, does not get enough data to focus well geometrically.
The P-P forward scattering is stunning, especially considering how much less S-S forward scattering takes place. To avoid direct arrivals we set a one-second minimum time between image points and the sources. Forward scattering is strongest in a wedge above and just northwest of the Weber I sequence.

Overlaying the event locations on the sections leads to an interpretable
structure for the plate interface from the back-scattered images.
The double-reflector plate interface is 3-5 km thick, and dips
5 degrees NW except where it is offset above the Weber I
event by 3-4 km downdip.
The forward-scattered images suggest strong diffractions on the downdip side of the offset. Our images cannot resolve the downdip extent of this ``bright spot'', or its exact nature. The strong P-P scattering (both forward and back) without strong S-P or S-S scattering suggests porosity rather than rigidity variation.
This result would not agree with the increased Vp/Vs ratio found within the plate interface by Eberhart-Phillips and Reyners to the northeast, if rigidity is held approximately constant. Here Lame's lambda parameter must decrease significantly under constant rigidity, which would lower the Vp/Vs ratio.
Perhaps up to 3% increase in porosity, at grain triple junctions but not at intergranular faces, could decrease lambda without decreasing rigidity. Such parameters would be similar to the Cascadia interface modeled by Cloos and Shreve, with less lithified and higher-porosity sediments trapped in the plate interface.

This is a duplex thrust interpretation of the effect of the downdip step in the
plate interface.
The Weber I fault, with significant normal offset before subduction, has bulldozed a wedge of sediment downdip that has not dewatered as completely as elsewhere in the interface.
The frontal ramp of the lower-plate step has raised a duplex thrust out of the upper 2-3 km of the interface. The frontal ramp of the duplex is visible in the P-P back-scattering reflectivity. A previous duplex, aligned with the frontal ramps, could explain the mechanism of the Weber II event. Fault-bend thrusting above the duplex is another possible explanation of that event.
Higher topography along the Wairarapa coast above the duplex thrust system is in agreement with this hypothesis.
Here we tested the effect of including headwave diffractions on our
images.
On top are traveltime contours from a surface source through Robinson's
velocity model that contains sharp refractors.
The diffractive, low-energy headwaves are the straight ramps in the
contours.
We convert the headwaves to diving waves simply by smoothing away the sharp boundaries in the velocity model. The ramps have become, at middle, higher-energy spherical waves.
Warm colors at the bottom show where headwave diffractions would be
advanced over diving spherical waves.
The maximum advancement is only 0.1 second, and only appears within
1 km above the refractor.
These sections compare a migration imaging condition using diving waves, left
against imaging including diffracted headwaves.
The differences are minimal and do not affect the interpretation.
Since we are migrating 2-8 Hz waves, the maximum headwave advance of
0.1 sec is immaterial.
With our Kirchhoff-sum imaging technique, true 3-d geometry is always
taken into account.
Thus migration into a 3-d image volume instead of an arbitrarily oriented
section is a simple though time-consuming operation (1-2 hours here on
a Sun Ultra 10).
The image volume here is 25 km on a side and covers a 20-km depth range
from 10-30 km depth.
The oblique slice of the volume at the top presents just the central part of the dip section we showed already. It has the same features as it should, although we have not statistically enhanced this section and it has more visible artifacts.
Interpreting a depth slice at 20 km depth, middle, has the same problems as interpreting a sectional slice. With our method similar artifacts appear on sections in both directions.
At 20 km depth we can see the 5-km-thick plate interafce curving away from the Weber I fault (which is deeper) to a more westerly strike. The plate interface is above the Weber I fault only at its largest offset, in the middle of the volume.
A couple kilometers deeper the upper plate (on the left) still diverges from the Weber I normal fault in the lower plate. The high-porosity bright spot is entirely within the upper plate.
These 3-d images suggest the bright spot and the duplex-thrusted plate
interface are geometrically related.
They are both deepest where the Weber I fault offset is greatest.

This cartoon, looking northeast, suggests how the duplex-thrust system may transition
from a double duplex at the Weber I frontal ramp, to a single duplex
where offset on the Weber I fault dies out.
A wedge of sediment is trapped only in front of the Weber I fault's total offset and pinches out to the southwest. The pinchout of the wedge creates the divergence of the reflective plate interface and the Weber I fault.

I'll conclude by suggest that this natural-source ``reflection survey'' was successful
in showing active subduction interface geometry at 20 km depth.