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The merger of supermassive black holes (BBH) produces mHz gravitational waves(GW), which are potentially detectable by future Laser Interferometer SpaceAntenna (LISA). Such binary systems are usually embedded in an accretion diskenvironment at the centre of the active galactic nuclei (AGN). Recent studiessuggest the plasma environment imposes measurable imprints on the GW signal ifthe mass ratio of the binary is around q $ \sim10^{-4}-10^{-3}$. The effect ofthe gaseous environment on the GW signal is strongly dependent on the disk'sparameters, therefore it is believed that future low-frequency GW detectionswill provide us with precious information about the physics of AGN accretiondisks. We investigate this effect by measuring the disk torques on the binarysystem by modelling several magnetized tori. Using GRMHD HARM-COOL code, weperform 2D simulations of weakly-magnetized thin accretion disks, with apossible truncation and transition to advection-dominated accretion flow(ADAF). In our numerical simulations, we study the angular momentum transportand turbulence generated by the magnetorotational instability (MRI). Wequantify the disk's effective alpha viscosity and its evolution over time. Weapply our numerical results to estimate the relativistic viscous torque and GWphase shift due to the gas environment.

Accretion disk's environmental effects on gravitational waves from LISA for extreme mass ratio black hole binaries