Monitoring CO2 underground storage with the Riccati equation

Link to article on Riccati inversion for CO2 plume

A study is made of an inversion technique of the Riccati type applied to a CO2-plume on the Sleipner field in the North sea. This paper employs Q-models to introduce forward and inverse filtering of the data. The solution of the Riccati equation with the the Kolsky-Wang Q-model has been presented in previous papers and is applied here.

The linear solution of the wave equation introducing attenuation and dispersion has been studied by Wang. He used a modification of Kolsky’s Q-model and applied it on a downward continuation algorithm. I have taken the theory further with a general Q-model and a more elegant inversion. The theory is applied on real seismic data from the Sleipner field.