Numerical simulation of multicomponent adsorption (such as in foam-forming surfactants, lignosulfonate, polymer/surfactants, etc.) is still at an early stage. Mathematical models of multicomponent adsorption and desorption in a surfactant/rock system have not yet been well developed. In this paper, a mathematical model for multicomponent adsorption, based on surface excess theory, is presented. The mathematical model is validated through more than 30 experimental runs under a wide range of operating conditions. Several multicomponent mixtures were used in the experimental runs to observe the effects of surfactant concentration, chemical slug size, flow rate, rock properties, salinity of the surfactant solution, and temperature. With the application of lignosulfonate as a sacrificial adsorbate, the amount of surfactant adsorption can be reduced significantly. Polymer-surfactant solution flooding system is a economical way to increase the efficiency of chemical injection. Polymer has beneficial effects on surfactant adsorption though polymer itself still has strong adsorption at the solid/liquid interface relative to surfactant. Numerical simulation results showed excellent agreement with experimental data.

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