## 1 Introduction
[14] used the explosive load as a stimulus to mitigate the shock pulse by placing a layer between the charged material column and the high-energy material column of interest and carried out a gap test. [PERSON] et al. [15] conducted research on sensitivity trends while changing the broad range of important parameters, providing insight into the quantitative shock of parameters. [PERSON] et al. [16] introduced a new method for predicting the shock sensitivity of C\({}_{4}\)H\({}_{8}\)N\({}_{C}\)O\({}_{4}\) explosives without using any experimental data and determined the shock sensitivity based on small-scale gap tests. [PERSON] and [PERSON] [17; 18] carried out flyer impact tests on an HMX/2,4,6-triamino-1,3,5-trinitrobenzene (TATB) composite explosive at different temperatures by an experimental detonation device designed for homogeneous heating of the explosive test sample and studied the effect of temperature and confinement on the shock initiation of PBXC10 (HMX/TATB)-based explosives. [PERSON] et al. [19] studied the shock to detonation transition phenomenon of two melt-cast high-energy explosives (HE) and carried out plate impact tests on wedge specimens, measured the running distance and detonation time and established the Pop diagram relationship of several molten casting HEs. In addition, relevant researchers conducted a numerical simulation analysis on SSGT used to heat the booster explosives. [PERSON] et al. [20] carried out CTH calculations on shock and particle velocities in large scale gap tests (LSGT) and extended large scale gap tests (ELSGT) to determine that PMMA and Pentolite material models available in CTH can best replicate the measured calibration data. [PERSON], [PERSON] et al. [21] measured the shock sensitivity of explosives using small-scale gap experiments and used the critical energy fluence criterion to evaluate the shock sensitivity of explosives. Moreover, the shock initiation process of SSGT process for boosters was simulated at room temperature by the dynamic reaction rate equation [22; 23; 24; 25]. [PERSON], [PERSON] et al. [26] conducted a numerical simulation of the shock initiation process of an HMX/TATB composite explosive and TATB-based insensitive high explosive (IHE) using the Lagrange analysis method, ignition and growth model. The results show that the shock sensitivity of the two explosives increases with the rise in ambient temperature. [PERSON], [PERSON] et al. [27] applied a multi-material hydrocode based on a mixed particle level set to quantitatively study the complex shock interaction, critical gap thickness, acoustic impedance and on/off characteristics of pyrotechnic systems. [PERSON], [PERSON] et al. [28] performed large scale gap tests and corrected gap tests on the explosive PBXN-103 (40% AP, 27% Al, 23% TMEM, 2.5% TEGDN, 6% NC, 1.3% EC and 0.2% Res) and obtained the reaction rate law parameters of Hugoniot. [PERSON], [PERSON] et al. [29] verified the accuracy of quantitative shock sensitivity prediction by comparing the shock sensitivity of ordinary explosives and the characteristics of anisotropic shock-induced response. [PERSON], [PERSON] et al. [30] had built a new ignition growth reaction rate model, which can describe the shock initiation process of explosives with different initial density, particle size and loading pressure through only one set of model parameters. In this work, the temperature calibration test was designed for HMX-based booster explosive, which consists of 95% HMX and 5% fluororubber by weight, and small scale gap tests of HMX-based booster were carried out under different temperature conditions. The corresponding critical gap thickness was obtained. By adjusting the parameters of the ignition and growth reaction rate model, the shock initiation processes of small scale gap tests at different temperatures were numerically simulated for HMX-based booster, and the critical gap thickness and critical initiation pressure of HMX-based booster at different heating temperatures were predicted.