5 papers
SubsurfaceGen: Procedural Generation of Field-Scale Earth Models and Seismic Data
Joseph Stitt, Pratik Rathore, Madeleine Udell +1
Full waveform inversion (FWI) is the gold standard for subsurface imaging, with applications from carbon sequestration to energy and mineral exploration to earthquake hazard assess…
Resolving Sharp Gradients of Unstable Singularities to Machine Precision via Neural Networks
Yongji Wang, Tristan Léger, Ching-Yao Lai +1
Recent work introduced a robust computational framework combining embedded mathematical structures, advanced optimization, and neural network architecture, leading to the discovery…
Discovery of Unstable Singularities
Yongji Wang, Mehdi Bennani, James Martens +19
Whether singularities can form in fluids remains a foundational unanswered question in mathematics. This phenomenon occurs when solutions to governing equations, such as the 3D Eul…
Spectrum-Informed Multistage Neural Networks: Multiscale Function Approximators of Machine Precision
Jakin Ng, Yongji Wang, Ching-Yao Lai
Deep learning frameworks have become powerful tools for approaching scientific problems such as turbulent flow, which has wide-ranging applications. In practice, however, existing…
Gravity-driven viscous flow over partially lubricated bed
Joshua H. Rines, Ching-Yao Lai, Yongji Wang
We present an investigation into the response of a viscous fluid flowing over a sloped bed across a spatially finite patch of basal lubrication. We present a simple analytical mode…