This report discusses the results of modeling efforts by Sandia National Laboratories in in-situ coal gasification. The main areas addressed are (1) flow characteristics and (2) initial cavity growth. The flow characteristics problem has been addressed using both a single phase finite element model and a two phase finite difference model. The initial cavity growth problem has been addressed using a finite element structural model. These models are useful for providing insight into the processes and for determining the characteristics needed to insure successful in-situ coal gasification. Also to be discussed is the development of the controlled source audio magnetotelluric (CSAMT) electromagnetic geophysical prospecting technique. This technique is being evaluated for use in mapping in-situ processes. The application discussed is the LETC tar sands project near Vernal, Utah.