ALBERT

Description: We clarified the theoretical relationship between the back-projection (BP) imaging and classical linear inverse solutions via the hybrid back-projection (HBP) imaging. In the HBP imaging, which is mathematically similar to the time-reversal source imaging, cross correlations of observed waveforms with the corresponding Green's functions are calculated. The key condition for BP to work well is that the Green's function is sufficiently close to the delta function. Then, the BP image represents the slip motion on a fault, and approximately equals to the least-squares solution (LSS). In HBP, instead of the Green's function in BP, the stacked autocorrelation function of the Green's function must be close to the delta function to obtain a fine image. Because the autocorrelation function is usually closer to the delta function than the original function, we can expect that HBP works better than BP, if we can reasonably estimate the Green's function. With additional condition that the stacked cross-correlation function of the Green's functions for different source locations is small enough, the HBP image is also approximately equal to the LSS. If these assumptions are not satisfied, however, the HBP image corresponds to a damped LSS with an extremely large damping parameter, which is clearly inferior to usual inverse solutions. On the other hand, the advantages of the BP method are much less computation and no necessity of Green's functions.

Description: Geodetic imaging data and seismic waveform data have complementary strengths when considering the modelling of earthquakes. The former, particularly modern space geodetic techniques such as Interferometric Synthetic Aperture Radar (InSAR), permit high spatial density of observation and thus fine resolution of the spatial pattern of fault slip; the latter provide precise and accurate timing information, and thus the ability to resolve how that fault slip varies over time. In order to harness these complementary strengths, we propose a method through which the two data types can be combined in a joint inverse model for the evolution of slip on a specified fault geometry. We present here a derivation of Akaike's Bayesian Information Criterion (ABIC) for the joint inversion of multiple data sets that explicitly deals with the problem of objectively estimating the relative weighting between data sets, as well as the optimal influence of model smoothness constraints in space and time. We demonstrate our ABIC inversion scheme by inverting InSAR displacements and teleseismic waveform data for the 1997 Manyi, Tibet, earthquake. We test, using a simplified fault geometry, three cases—InSAR data inverted alone, vertical component teleseismic broad-band waveform data inverted alone and a joint inversion of both data sets. The InSAR-only model and seismic-only model differ significantly in the distribution of slip on the fault plane that they predict. The joint-inversion model, however, has not only a similar distribution of slip and fit to the InSAR data in the InSAR-only model, suggesting that those data provide the stronger control on the pattern of slip, but is also able to fit the seismic data at a minimal degradation of fit when compared with the seismic-only model. The rupture history of the preferred, joint-inversion model, indicates bilateral rupture for the first 20 s of the earthquake, followed by a further 25 s of westward unilateral rupture afterwards, with slip peaking at 7 m in the upper 6 km of the fault. This joint-inversion approach is thus shown to be a viable method for the study of large shallow continental earthquakes, and may be of particular benefit in cases where near-field seismic observations are not available.

Description: Cycas revoluta leaf lectin (CRLL) of mannose-recognizing jacalin-related lectin (mJRL) has two tandem repeated carbohydrate recognition domains, and shows the characteristic sugar-binding specificity toward high mannose-glycans, compared with other mJRLs. We expressed the N-terminal domain and C-terminal domain (CRLL-N and CRLL-C) separately, to determine the fine sugar-binding specificity of each domain, using frontal affinity chromatography, glycan array and equilibrium dialysis. The specificity of CRLL toward high mannose was basically derived from CRLL-N, whereas CRLL-C had affinity for α1-6 extended mono-antennary complex-type glycans. Notably, the affinity of CRLL-N was most potent to one of three Man 8 glycans and Man 9 glycan, whereas the affinity of CRLL-C decreased with the increase in the number of extended α1-2 linked mannose residue. The recognition of the Man 8 glycans by CRLL-N has not been found for other mannose recognizing lectins. Glycan array reflected these specificities of the two domains. Furthermore, it was revealed by equilibrium dialysis method that the each domain had two sugar-binding sites, similar with Banlec, banana mannose-binding Jacalin-related lectin.

Description: 〈span〉〈div〉SUMMARY〈/div〉Waveform backprojection (BP) is a key technique of earthquake-source imaging, which has been widely used for extracting information of earthquake source evolution that cannot be obtained by kinematic source inversion. The technique enjoys considerable popularity, owing to the simplicity of its implementation and the robustness of its processing, but the physical meaning of BP images has remained elusive. In this study, we reviewed the mathematical representation of BP and hybrid BP (HBP) methods, following the pioneering work of Fukahata 〈span〉et al〈/span〉. (〈a href="http://academic.oup.com/gji#bib15"〉2014〈/a〉), to clarify the physical implications of BP images. We found that signal intensity in BP and HBP images is scaled with the amplitude of the Green’s function that corresponds to a unit-step slip, which results in the signal intensity being depth dependent. We propose variants of BP and HBP, which we call kinematic BP and HBP, respectively, to relate the BP signal intensity to slip motion of an earthquake by modifying the normalizing factors used in the original BP and HBP methods. The original BP and HBP images remain useful for assessing the spatiotemporal strength of the wave radiation, which scales with the amplitude of the Green’s function, whereas the kinematic BP and HBP methods are suitable for imaging the slip motion that is responsible for the high-frequency radiation produced during the source-rupture process.〈/span〉

Description: 〈span〉〈div〉Summary〈/div〉Teleseismic waveforms contain information on fault slip evolution during an earthquake, as well as on the fault geometry. A linear finite-fault inversion method is a tool for solving the slip-rate function distribution under an assumption of fault geometry as a single or multiple-fault-plane model. An inappropriate assumption of fault geometry would tend to distort the solution due to Green’s function modelling errors. We developed a new inversion method to extract information on fault geometry along with the slip-rate function from observed teleseismic waveforms. In this method, as in most previous studies, we assumed a flat fault plane, but we allowed arbitrary directions of slip not necessarily parallel to the assumed fault plane. More precisely, the method represents fault slip on the assumed fault by the superposition of five basis components of potency-density tensor, which can express arbitrary fault slip that occurs underground. We tested the developed method by applying it to real teleseismic 〈span〉P〈/span〉 waveforms of the 〈span〉M〈/span〉〈sub〉W〈/sub〉 7.7 2013 Balochistan, Pakistan, earthquake, which is thought to have occurred along a curved fault system. The obtained spatiotemporal distribution of potency-density tensors showed that the focal mechanism at each source knot was dominated by a strike-slip component with successive strike angle rotation from 205° to 240° as the rupture propagated unilaterally towards the south-west from the epicentre. This result is consistent with Earth’s surface deformation observed in optical satellite images. The success of the developed method is attributable to the fact that teleseismic body waves are not very sensitive to the spatial location of fault slip, whereas they are very sensitive to the direction of fault slip. The method may be a powerful tool to extract information on fault geometry along with the slip-rate function without requiring detailed assumptions about fault geometry.〈/span〉

Description: 〈span〉〈div〉Summary〈/div〉Waveform backprojection is a key technique of earthquake-source imaging, which has been widely used for extracting information of earthquake source evolution that cannot be obtained by kinematic source inversion. The technique enjoys considerable popularity, owing to the simplicity of its implementation and the robustness of its processing, but the physical meaning of backprojection images has remained elusive. In this study, we reviewed the mathematical representation of backprojection (BP) and hybrid backprojection (HBP) methods, following the pioneering work of Fukahata et al. (Geophys. J. Int. (2014) 196, 552559), to clarify the physical implications of BP images. We found that signal intensity in BP and HBP images is scaled with the amplitude of the Green’s function that corresponds to a unit-step slip, which results in the signal intensity being depth dependent. We propose variants of BP and HBP, which we call kinematic BP and HBP, respectively, to relate the BP signal intensity to slip motion of an earthquake by modifying the normalizing factors used in the original BP and HBP methods. The original BP and HBP images remain useful for assessing the spatiotemporal strength of the wave radiation, which scales with the amplitude of the Green’s function, whereas the kinematic BP and HBP methods are suitable for imaging the slip motion that is responsible for the high-frequency radiation produced during the source-rupture process.〈/span〉