## 4 Results and Discussion  
### Analysis of Rock Mechanical Properties at Well Points  
Based on the static triaxial rock mechanical tests and dynamic acoustic rock mechanical tests, static and dynamic elastic modulus, as well as static and dynamic Poisson's ratio, are obtained for different wells and formations. This is aimed at exploring the dynamic-static transformation relationship between the static rock mechanics parameters and the dynamic rock mechanics parameters. Using static elastic modulus or static Poisson's ratio as the dependent variable, and dynamic elastic modulus or dynamic Poisson's ratio as the independent variable, a linear regression analysis is performed to establish the dynamic-static transformation relationship for rock elastic modulus and Poisson's ratio, as shown in Table 2.  
The regression curves between dynamic and static elastic modulus and dynamic and static Poisson's ratio are shown in Figure 6, where the correlation coefficients for each formation are all above 0.97, indicating a strong linear correlation for the dynamic and static elastic modulus of the reservoir rock formations (Figure 6a,c,e); while the dynamic and static Poisson's ratio for each formation is around 0.77, showing a lower linear correlation compared to the elastic modulus, but still exhibiting a certain degree of a linear relationship (Figure 6b,d,f). Additionally, under the same conditions, the dynamic elastic modulus (Poisson's ratio) of the reservoir rock is generally greater than its static elastic modulus (Poisson's ratio). Furthermore, compared to the dynamic and static Young's modulus, the reduction in static Poisson's ratio compared to the dynamic Poisson's ratio is more significant, indicating pronounced differences in the lateral expansion characteristics of the rock under different conditions. In different lithological formations, the regression equations for dynamic and static elastic modulus and Poisson's ratio exhibit distinct characteristics. The sandstone, siltstone, and mudstone of the Denglouku formation show regression equations for dynamic and static elastic modulus with high slope and low intercept characteristics, indicating that within a lower range of dynamic elastic modulus, the volcanic rocks of the Yingcheng formation will exhibit higher static elastic modulus, while within a higher range of dynamic elastic modulus, the sandstone, siltstone, and mudstone of the Denglouku formation exhibit higher static elastic modulus (Figure 6c,e). The regression equations for dynamic and static Poisson's ratios for the two lithological formations show the opposite behavior. Within a lower range of dynamic Poisson's ratio, the sandstone, siltstone, and mudstone of the Denglouku formation will exhibit higher static Poisson's ratio, while within a higher range of dynamic Poisson's ratio, the volcanic rocks of the Yingcheng formation will exhibit a higher static Poisson's ratio (Figure 6d,f). When the dynamic elastic modulus is 43.91 MPa or the Poisson's ratio is 0.1978, the two lithologies have the same static elastic modulus. Additionally, although the transformation relationship of the Poisson's ratio for the volcanic rocks of the Yingcheng formation has a higher change slope, it is limited by the fact that its overall dynamic Poisson's ratio is lower than that of the sandstone, siltstone, and mudstone of the Denglouku formation. As a result, the ranges of static Poisson's ratio for the two lithological formations are relatively consistent.