## 1 Introduction
The results showed that the freeze-thaw cycles had a significant impact on pavement reliability. The more unstable the conditions of the freeze-thaw cycle, the greater the impact on pavement capacity [31]. [PERSON] analyzed the evolution of the strength and bearing capacity of asphalt mixtures exposed to long-term moisture over several freeze-thaw cycles and a varying number of days of thermal aging. It found that the air void content has a significant influence on the long-term evolution of the mixture properties under moisture, which is a reversible process, unlike the other two climate agents studied [32]. [PERSON] et al. studied the changes of complex modulus of asphalt mixtures under rapid freeze-thaw cycles with different compaction and dry humidity in cold regions. They established rheological model to predict the service life and fatigue crack of asphalt mixture under freeze-thaw cycles. It was found that the freeze-thaw cycles had a more significant effect on the stiffness of the mixture [33; 34; 35]. [PERSON] et al. studied the effect of freeze-thaw cycles on mortar with the rheological test of curved beam [36]. [PERSON] used three representation functions to determine relaxation moduli of asphalt mixtures subject to the action of freeze-thaw cycles. It concludes that Prony series function appeared to have better prediction than other two functions in fitting raw creep compliance data of asphalt mixtures at 0, 100, 200, 250, and 300 freeze-thaw cycles as well as showing promising results in predicting the relaxation modulus of asphalt mixtures subjected to freeze-thaw cycles [37]. [PERSON] et al. used the 2S2P1D rheological model to simulate the material behavior and evaluate the evolution of linear viscoelastic properties. Repeated freeze-thaw damaged the sample and glass asphalt mixture was damaged faster than the reference mixture. However, both mixtures reached equivalent damage after 10 freeze-thaw cycles [38]. In order to improve the freeze-thaw resistance asphalt pavement, the addition of modified materials was the main methods in existing researches. [PERSON] et al. studied the moisture resistance of asphalt mixture modified with slaked lime under freeze-thaw cycles [39]. [PERSON] et al. studied the influence of diatomic and styrene-butadiene-styrene (SBS) on the freeze-thaw resistance of waste rubber modified asphalt mixture. They established the mathematical model and accurately predicted the porosity and indirect tensile strength during freeze-thaw cycles [40]. [PERSON] et al. studied the effect of Cement kiln dust (CKD) as a filler material on the low-temperature characteristics of hot mix asphalt (HMA). According to the obtained results, mixes containing CKD filler demonstrated better resistance against freeze-thaw cycles compared to the control mixture containing limestone (LS). Moreover, mixes containing CKD exhibited a higher fatigue life compared to the control mix and for all mixes the fatigue life decreased by decreasing the temperature [41]. [PERSON] et al. studied the effects of freeze-thaw cycles on the Marshall stability, flow value, and split tensile strength of stone music asphalt (SMA) mixtures with different lime content [42]. [PERSON] et al. studied the effect of freeze-thaw cycles on split tensile strength and porosity of rubber modified asphalt mixture [43]. [PERSON] et al. analyzed the local volume change of asphalt mixture with different reclaimed asphalt pavement (RAP) contents under freeze-thaw cycles with grid method and digital image processing technology [44]. In this paper, in order to evaluate whether the freeze-thaw performance of nano-TiO\({}_{2}\)/CaCO\({}_{3}\) and basalt fiber composite modified asphalt mixture meets the climate requirements of seasonal frozen area, various physical and mechanical properties under freeze-thaw cycles were studied. Two kinds of asphalt mixtures, matrix asphalt mixture (AM) and nano-TiO\({}_{2}\)/CaCO\({}_{3}\) and basalt fiber composite modified asphalt mixture (NBAM), were prepared with the best oil-stone ratio.