<p>Subsurface media exhibit viscoelasticity, typically quantified using the quality factor (<i>Q</i>), leads to significant challenges for seismic inversion and migration. Particularly in gas-bearing reservoirs, the strong attenuation effects not only as amplitude attenuation but also through phase distortion which is expressed in seismic records as traveltime and frequency. To achieve true underground structural information, attenuation compensation migration algorithms are needed which requires accurate velocity and <i>Q</i> models through inversion. However, current inversion methods get velocity and <i>Q</i> separately, while the inherent coupling between these two parameters leads to inaccuracies in inversion results. Since both velocity and <i>Q</i> affect seismic wave propagation, based on the Standard Linear Solid (SLS) model, we incorporate these parameters into visco-acoustic wave-equation and update velocity and <i>Q</i> models based on traveltime wave-equation inversion. To calculate accurate traveltime differences, we implement the Dynamic Time Warping (DTW) algorithm and conduct a comparative performance analysis against traditional cross-correlation approaches. Moreover, given that velocity and <i>Q</i> exhibit different influences in traveltime and frequency, we develop an inversion strategy for <i>Q</i> estimation and compared it with conventional sequential inversion approach, demonstrating superior inversion accuracy. Numerical experiments validate both the precision of our proposed methodology and its superior performance relative to conventional approaches.</p>