## 1 Introduction  
Well completion serves as a crucial final step preceding oil and gas exploitation, pivotal in the overall process. The quality of well completion directly impacts the productivity and lifespan of oil and gas wells. Currently, perforation completion technology is extensively employed both domestically and internationally [1]. This technique utilizes high-velocity metal jets generated by shaped charge during detonation to rapidly penetrate casing, cement ring, and formation rocks, thereby establishing efficient channels for oil and gas flow between reservoirs and wellbores. As the central component of the shaped charge, the liner plays a pivotal role in generating a metal jet to accomplish perforation and thus exerts a decisive influence on the perforating outcome [2]. Due to the volatile global geopolitical landscape and the escalating domestic energy demand, the exploration and production activities in the oil and gas industry have progressively extended towards deep-ultra-deep reservoir buried-hill hydrocarbon, as well as offshore fields. The Bohai Bay Basin is a prominent region for the development of buried-hill hydrocarbon reservoirs in China, and it holds significant potential for expanding oil and gas resources in the country. The reservoirs in this area exhibit characteristics such as multiple structures, origins, and forms, while the rocks are composed of complex lithology with compact hard textures (hard rock). Due to various factors, such as high pressure and tight reservoir conditions in the wellbore, conventional-shaped charges are unable to effectively release oil and gas from the reservoir. Many oil and gas wells encounter challenges in fluid production post-perforation or even experience no fluid production at all. In addition, it is difficult to ascertain whether the mud contamination zone has been penetrated. In recent years, [PERSON] et al. [3] developed a novel powder liner by blending tungsten powder, aluminum powder, copper powder, and nickel powder in specific mass ratios based on previous studies on liners. The experimental results demonstrated excellent penetration capability in both ground-penetrating steel target tests and simulated, confining pressure, penetrating sandstone target experiments, with relatively clean perforation channels. However, due to the extremely short perforation time (on the order of microseconds), intricate processes (explosive detonation and high strain rate), and complex reservoir environment (high wellbore pressure and rock strength), the data collected by existing experimental observation methods often fragmented, rendering it arduous to comprehensively elucidate the complete physical process of perforation in hard rock [4]. In this case, investigating the perforating process in hard rock and enhancing the performance of shaped charges is hindered by difficulties and time constraints. The numerical simulation method not only effectively circumvents such issues but also significantly enhances research efficiency. However, the constitutive parameters of the powder liner and the hard rock suitable for perforating conditions must be determined first. The selection of constitutive parameters for liner and rock materials in finite element simulations of perforation has long been a topic of significant interest and discussion within the academic community [5; 6; 7]. Currently, the majority of the key parameters in the material constitutive equation are acquired through experimental fitting. [PERSON] [8] conducted Split-Hopkinson Pressure Bar (SHPB) tests and quasi-static tests to obtain stress-strain curves of the tungsten-potassium alloy used in the liner at different strain rates. Based on these results, key parameters of its J-C constitutive model were fitted. The J-C constitutive equation of an Al-Li alloy was calibrated by [PERSON] et al. [9] through quasi-static experiments and impact compression tests. [PERSON] et al.