Accurate atmospheric monitoring of methane (CH4) emissions from industrial and waste processing sites such as landfills is essential to reduce their emissions. The monitoring of CH4 emissions from these sites often relies on local scale atmospheric transport models to simulate concentrations associated to the plume from a source with a given emission rate. In recent years, a growing interest in estimating CH4 emissions has led to the development of different atmospheric inversion frameworks based on stationary or mobile measurements and on transport modeling. The most commonly used model for atmospheric inversions at local-scale is the simple Gaussian model. Here, we investigate the power of a more complex model and compare the results with the Gaussian one.