The lattice Boltzmann (LB) modeling technique is increasingly being applied in a variety of fields where computational fluid dynamics are investigated. In our field of interest, environmentally related flow processes in porous media, the use of the LB method is still not common. For the LB technique to become a truly valuable modeling tool, a proper link between the dimensionless LB model and physical characteristics of the system of interest has to be made. We describe how this connection can be made, presenting a procedure for identifying LB model parameters, and relating them to a specific physical system; in this case observed oil-water displacement experiments. For this purpose, we use simple, well-characterized, two-fluid-phase systems that furthermore function as a test of the code. The calibrated model is shown to produce realistic capillary pressures, within the pressure range of the observed experimental system. The model calibration procedure does not result in a unique parameter set; instead several parameter sets that appear equally reasonable are obtained. We discuss 2 problems and limitations of the approach as applied using a multicomponent version of the Shan-Chen LB model.