4 citations · 11 across the 8 of their papers we have counts for
8 papers
Direct and indirect seismic inversion: interpretation of certain mathematical theorems
August Lau, Chuan Yin
Quantitative methods are more familiar to most geophysicists with direct inversion or indirect inversion. We will discuss seismic inversion in a high level sense without getting in…
Quantitative and Qualitative Seismic Imaging and Seismic Inversion
August Lau, Chuan Yin
We consider seismic imaging to include seismic inversion. Imaging could use approximate operator or time instead of depth. Processing in time is an important part of seismic imagin…
Geometric theory of inversion and seismic imaging
August Lau, Chuan Yin
The goal of inversion is to estimate the model which generates the data of observations with a specific modeling equation. One general approach to inversion is to use optimization…
Seismic Solvability Problems
August Lau, Chuan Yin
Classical approach of solvability problem has shed much light on what we can solve and what we cannot solve mathematically. Starting with quadratic equation, we know that we can so…
Solvability by semigroup : Application to seismic imaging with complex decomposition of wave equations and migration operators with idempotents
August Lau, Chuan Yin
The classical approach of solvability using group theory is well known and one original motivation is to solve polynomials by radicals. Radicals are square, cube, square root, cube…
Practical approach to solvability: Geophysical application using complex decomposition into simple part (solvable) and complex part (interpretable) for seismic imaging
August Lau, Chuan Yin
The classical approach to solvability of a mathematical problem is to define a method which includes certain rules of operation or algorithms. Then using the defined method, one ca…