We revisit the problem of recovering wave speeds and density across a curved interface from reflected amplitudes. Such amplitudes have been exploited for decades in (exploration) seismology this context. However, analysis has based on linearization mostly flat interfaces. Here, we present an without allow interfaces, establish uniqueness provide reconstruction, while making notion amplitude pre...

Pulsation modes have recently been observed in a handful of white dwarf (WD) primaries of cataclysmic variables, allowing an interesting new probe into the structure of accreting WD's. We briefly discuss the seismology of these objects, how stellar properties may be inferred from the observed mode frequencies, and mode driving mechanisms. For one pulsator, GW Lib, we have shown that a WD mass M...

We demonstrate for the first time that seismic resonant multiples, usually considered as noise, can be used for super-resolution imaging in the far-field region of sources and receivers. Tests with both synthetic data and field data show that resonant multiples can image reflector boundaries with resolutions more than twice the classical resolution limit. Resolution increases with the order of ...

The development of supervised deep learning technology in seismology and related fields has been restricted due to the lack training sets. A large amount unlabeled data is recorded seismic exploration, their application network difficult, e.g., fault identification. To solve this problem, herein, we propose an end-to-end set generative adversarial Fault2SeisGAN. This can expand limited labeled ...

[1] Multivalued traveltimes have traditionally not been used in seismic imaging, with only a handful of notable exceptions in the field of exploration geophysics. For studies at local and regional scales (e.g., local earthquake/teleseismic tomography), the focus has largely been on first arrivals, with numerous rayand grid-based schemes developed for their calculation. However, later arrivals o...

We revisit Smith’s frame of curvelets and discretize it making use of the USFFT as developed by Dutt and Roklin, and Beylkin. In the discretization, we directly approximate the underlying dyadic parabolic decomposition, its (rotational) symmetry, and approximate all the necessary decay estimates in phase space with arbitrary accuracy. Numerically, our transform is unitary. Moreover, if we apply...

We discuss a multi-scale geometrical representation of (seismic) waves via a decomposition into wave packets. Wave packets can be thought of as certain localized “fat” plane waves. As a starting point we take the frame of continuous “curvelets” and associated transform. Different discretizations, and approximations, of this transform lead to different discrete wave packets. One such discretizat...