## 4 Results and Discussion
### Analysis of Rock Mechanical Properties at Well Points
\begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Stratigraphy**} & \multicolumn{2}{c}{**Modulus of Elasticity Dynamic-static**} & \multicolumn{2}{c}{**Poisson’s Rate Dynamic-Static**} \\  & **Transition Relationship** & \multicolumn{2}{c}{**Transition Relationship**} \\  & **Regression Equation** & **Correlation Coefficient** & **Regression Equation** & **Correlation Coefficient** \\ \hline All stratigraphy & \(E=1.032E_{d}-12.24\) & 0.9779 & \(E=0.2746E_{d}+0.0081\) & 0.7631 \\ \hline Sandstone, pink sandstone, and mudstone of the Denglouku formation & \(E=1.088E_{d}-14.84\) & 0.9739 & \(E=0.2801E_{d}+0.0058\) & 0.7751 \\ \hline Volcanic rock of the Yingcheng formation & \(E=1.014E_{d}-11.59\) & 0.9739 & \(E=0.3352E_{d}-0.0051\) & 0.7779 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: The dynamic-static transformation relationship for rock elastic modulus and Poisson’s ratio. Although laboratory dynamic acoustic wave rock mechanical experiments can obtain the time difference between longitudinal and transverse waves of core samples, they are limited by the discreteness of the core sample depth and cannot directly generate a continuous profile of rock mechanical parameters for the reservoir rock. Therefore, based on the dynamic-static conversion relationship of rock elastic modulus and Poisson's ratio in Table 2, combined with XMAC multipole array acoustic logging data, a continuous profile of static rock mechanical parameters for the reservoir rock of depleted gas reservoirs can be used to predict the dynamic-static response of the rock. Figure 6: Regression curves of dynamic and static modulus of elasticity and dynamic and static Poisson’s ratios in different formations should be listed as: (**a**) Regression curves of static and dynamic modulus of elasticity for all formations; (**b**) Regression curves of static and dynamic Poisson’s ratio; (**c**) Regression curves of static and dynamic modulus of elasticity for the Denglouku formation; (**d**) Regression curves of static and dynamic Poisson’s ratio for the Denglouku formation; (**e**) Regression curves of static and dynamic modulus of elasticity for the Yingcheng formation; (**f**) Regression curves of static and dynamic Poisson’s ratio for the Yingcheng formation. be formed, with specific statistical parameters seen in Table 3. Among these parameters, although the sandstone, siltstone, and mudstone of the Denglouku formation exhibit characteristics of high slope and low intercept, their dynamic elastic modulus is lower than that of the Yincheng formation volcanic rocks, so the static elastic modulus of the Yincheng formation volcanic rocks is significantly greater than that of the sandstone, siltstone, and mudstone of the Denglouku formation. While the dynamic-static conversion relationship of Poisson's ratio of the Yincheng formation volcanic rocks has a higher change slope, it is similarly limited by its dynamic Poisson's ratio, which is slightly lower than that of the sandstone, siltstone, and mudstone of the Denglouku formation. Ultimately, the static Poisson's ratio ranges of the two lithological strata are quite consistent, which also coincides with the ranges of dynamic and static elastic modulus (Poisson's ratio) on the horizontal and vertical axes in Figure 4.