## 1 Introduction  
The seasonal frozen region covers a large area in China, accounting for 53.5% of the country's land area. The high frequency of freeze-thaw cycles in the short term is the main cause of pavement damage in the season frozen region. This damage leads to an increase of maintenance cost and decrease in the service life of pavement [1; 2]. Despite the developments that have increased the understanding of asphalt mixture behavior and mix design, freeze-thaw cycle damage is still considered a complex problem in asphalt pavements [3; 4; 5]. In recent years, the evolution of asphalt mixtures under freeze-thaw cycles was evaluated by various research [6; 7; 8; 9; 10] used the logistic model to study the effects of freeze-thaw cycles on the compressibility of mixture [11]. [PERSON] et al. studied the effects of freeze-thaw cycles on the low temperature performance of mixture [12]. [PERSON] et al. studied the effects of freeze-thaw cycles on the strength of mixture [13]. In conclusion, the freeze-thaw cycle damage in asphalt mixtures can be defined as the loss of strength and stiffness of mix because moisture migration and accumulation under the high frequency of freeze-thaw cycles. In the spring-thawing season, free water formed by the melting of snow on the pavement penetrates into the interior of the pavement structure due to the rising daytime temperature. The volume of free water expands after being frozen, which generates internal temperature stress in the mixture, and this effect can enlarge the micropores and original cracks in the asphalt layer. The ice crystalloids are transformed into free water which cause moisture damage with the increase of temperature. Moreover, the free water forms' scouring, squeezing, and pumping effects on the internal structure of pavement under the traffic load cause asphalt pavement distress--such as strength losing, rutting, raveling, and fatigue cracking [14]. Because of the complexity of the freeze-thaw cycle damage phenomenon, using proper additives and modifiers is considered the most cost-effective technique for mitigating freeze-thaw cycle damage. [PERSON] et al. investigated the effect of diatomic and styrene butadiene styrene on antifreezing performance of crumb rubber modified stone mastic asphalt (SMA), the results indicate that crumb rubber and diatomic modified SMA has the good freeze-thaw resistance [15]. [PERSON] et al. held that the use of polypropylene and aramid fibers in HMA could enhance the performance of asphalt pavements against common distresses [16]. [PERSON] et al. found that micro or nano zinc oxide can significantly improve the anti-freeze-thaw performance of asphalt and asphalt mixture [17]. [PERSON] et al. found that phosphorus slag powder modified by TM-P (10% by weight of the powder) improved freeze-thaw resistance of asphalt mixture [18]. [PERSON] evaluated the effects of two types of nanomaterials in two different percentages (nano Al\({}_{2}\)O\({}_{3}\) and Fe\({}_{2}\)O\({}_{3}\)), two types of aggregates (granite and quartzite), and one base asphalt binder. The results showed that asphalt binder modification with nanomaterials decreases the moisture damage susceptibility [19]. Among the existing modifiers, natural and synthetic polymers are widely used to improve the durability and the properties of asphalt concrete in spring-thawing season, but such a modifier presents a serious isolation problem that restricts its application in modifying paving asphalt. Nano hydrophobic silane silica (NHSS) draws much attention at present because of its high compatibility, and its capability to improve base asphalt properties. The nano hydrophobic silane silica (NHSS) is obtained by the surface modification of nanosilica by silane coupling agent, which can greatly improve the dispersibility of modified nanosilica in the organic polymer, so that the whole system has better stability, and the advantages of nanosilica and silane coupling agent can be fully utilized in the mixed system.