Simulation of seismic wave propagation in poroelastic media using vectorized Biot’s equations: an application to a CO2 sequestration monitoring case

• Autorzy: Anthony Emmanuel , Vedanti Nimisha

Identyfikatory

DOI

10.1007/s11600-020-00414-3

• Języki publikacji: EN

Abstrakty

EN

Wave propagation through porous media allows us to understand the response and interaction that occur between the elastic rock matrix and the fuid. This interaction has been described by Biot in his theory of poroelasticity. Seismic wave simulation using Biot’s formulations is computationally expensive when compared with the acoustic and elastic cases. This computational burden can be reduced by reformulating the numerical derivative operators to improve the efciency. To achieve this, we used a staggered-grid fnite diference operator to discretize 2D velocity stress equations as given by Biot’s theory. A vectorized derivative is applied on the staggered grid by shifting the coordinates. The reformulated equations were applied to compute the seismic response of a reservoir, where CO₂ is being injected and the efect of injected CO₂ in the formation is clearly seen in the synthetic data generated. The algorithm was coded in Python and to test its efciency, the simulation run-time was compared for both serial and vectorized equations, and the speed-up ratio was calculated. Our results show a decrease in the simulation run-time for the vectorized execution with over a factor of a hundred percent (100%). We further observed that the amplitudes of the events increase with an increase in CO₂ saturation in the formation. This matches well with the real data.

Słowa kluczowe

EN

poroelasticity; CO2 injection; staggered grid; finite differences; seismic wave

PL

poroelastyczność; zatłaczanie CO2; siatka przestawiona; różnice skończone; fala sejsmiczna

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2020
• Tom: Vol. 68, no. 2
• Strony: 435--444
• Opis fizyczny: Bibliogr. 30 poz.

Twórcy

autor

Anthony Emmanuel

• AcSIR-NGRI, Hyderabad 500007, India
• Department of Physics, Imo State University, Owerri, Nigeria

autor

Vedanti Nimisha

• AcSIR-NGRI, Hyderabad 500007, India
• CSIR-National Geophysical Research Institute, Hyderabad 500007, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)