The recent computer numerical simulation approach for the MMT NC kinetics considered here is based on the foundations of the irreversible thermodynamics such as: multi(n)-component (n=6) mass balance n-Eqns. mentioned; the k (2) (6)-variance (where k (2) is determined as "the degree of freedom" for the MMT NC sorption system considered here by the modeling); the fundamental wave concept (W) of the propagating mode of the multi-component {X n (L,T)}concentration waves; two Mass Action Laws (MAL S) with the {K S m1,2 }-two Selectivity parameters; the "sink-source" (or in other words "sorptiondesorption") mass transformation mechanism for various J k,m,p-mass fluxes, and including some others. The theoretical computer simulation is based on the recent advanced bifunctional NC Model developed. It comprises the various I, II-MMT co-routes for the two (3,4) p-principal sorbate components in the bi-functional NC matrix, i.e. (a) the paired (I 1,2)-selective MMT routes described by the MAL S (I.K 1,2)relationships which comprise the two selective paired "mass transformations" {namely (3,4) p⇌m 1,2 } onto the active fixed 6 R 0 ,"NP 0-nanosites" (i.e. the zero charged 6 R 0-principal 6th-component, namely "NP 0-nanosites" introduced into the consideration of the multicomponent kinetic process) together with (b) the D 3,4,5-multiDiffusion, (II)-MMT co-route for the diffusible (3,4) p-sorbate principals in the NC pores. The k (2) (6)-"variance" of the advanced recent k (2) (6)-bi-functional NC Model developed here (including the I&II-MMT coroutes) is one of the thermodynamic key parameter of the six(n)-component MMT NC sorption system considered. There is included here into the computer modelling the second MMT (II)-coroute with the realization of the {D 3-5 }-multi-Diffusion for the two diffusing (3,4) p +-principal sorbate components including additionally the 5th-anionic co-ions, (i.e. j-5-component intended for the maintaining of the electroneutrality condition) in the combined bi-functional MMT NC sorption system mentioned.. The conceptual schemes of the author's advanced k (2) (6)-NC Model. are displayed in the visual conceptual illustrations with the inclusion of the selective "sink-source" J k,m,p-mass fluxes mechanism mentioned. Further there is shown visually the interaction of the {X 1,2,6 (L,T)}-travelling concentration waves by the recent computer simulation developed which brings the Displacement Development (DD)-behavior of the two m 1,2-interactive X 1 (L,T)-displacer, and X 2 (L,T)-displaced concentration waves. The intensity of the DD-effect is estimated by the X 2 m-peak concentration with depending on the determinative two components' {K S m1,2 }-Selectivity factor.