Sand-fines mixtures are widely applied in key projects such as high-speed railway roadbeds,artificial is-land buildings,and submarine immersed tube tunnel cushions.Characterizing the complex particle contact state and mechanical behavior evolution of the sand-fines mixtures and disclosing their influence on the static/dynamic properties of the mixtures are one of critical and urgent scientific problems.The capability of the Rahman semiem-pirical formula to predict the threshold fines content FCth,which differentiates the regime of"fines in sand"(sand-dominated behavior)from"sand in fines"(fines-dominated behavior),is confirmed using the basic indexes of the physical properties and mechanical properties of the mixtures published in the literature.In this study,a new meth-od for determining the critical particle contact condition parameters FCin-min and FCin-max of in-transition soils is de-veloped based on the theoretical minimum void ratio calculation method of binary medium materials(binary packing model).The influencing laws of every parameter on FCin-min and FCin-max are analyzed,and the prediction meth-od for FCin-min and FCin-max is developed based on the basic physical performance index.Finally,an effective evalu-ation procedure of the critical condition parameters under every particle contact state of sand-fines mixtures in the full FC range(FC=0%~100%)is presented.