We have developed a computer simulation to model the forma­tion of reverse micelles in two dimensions. Several of the qualitative results obtained from these calculations agree with experimental ob­servations. Specifically, we have shown that the chain length has a large influence in determining the size and shape of the aggregate. We predict the existence of a critical tail length: Chains below this value will form an extended lamella-like structure, whereas chains longer than this value will form clusters that appear ellipsoid or circu­lar in cross-section. Finally, we obtained a scaling law that relates the aggregation number (N) to the length of the tail (L): N-L -1. 14_ A physical model to account for the observed exponent will be devel­oped in a future paper.