The dynamic and static Young’s moduli of a number of reservoir sandstones were measured using ultrasonic P- and S-waves velocities in a standard uniaxial set-up. We developed and modified an experimental method to simultaneously measure the stress–strain and stress–velocity (P- and S-waves) while the samples are subjected to stress. The static and dynamic Young’s modulus and Poisson’s ratio were calculated simultaneously within the proportional limit of the stress–strain graph. For the reservoir sandstone samples with porosity ranging from 8% to 24% the dynamic Young’s modulus ranged within 4–30 GPa while the static Young’s modulus recorded within 4–17 GPa at the same time. The study determines that the dynamic elastic moduli in an isotropic material is strongly correlated to static moduli when the dynamic moduli is obtained from a direct measurement. This experimental study demonstrates the importance of registering both P- and S-wave velocities independently in order to have accurate dynamic moduli. Using conventional relations, such as Christensen’s equation, to estimate S-wave velocity from its measured P-wave introduces large errors for porous material (such as sandstones) leading to inaccurate estimation of dynamic Young’s moduli. We also examined the validity of existing equations in the literature to predict static Young’s modulus from its recorded P- and S-wave velocities. The predicted values are within the acceptable range, which adds to the validity of conducting accurate dynamic measurements for sandstones subjected to uniaxial stress.

许多储层砂岩的动态和静态杨氏模量是在标准单轴设置中使用超声波 P 波和 S 波速度测量的。我们开发并修改了一种实验方法，可以在样品承受应力时同时测量应力-应变和应力-速度（P 波和 S 波）。在应力-应变图的比例限制内同时计算静态和动态杨氏模量和泊松比。对于孔隙度为 8% 至 24% 的储层砂岩样品，动态杨氏模量在 4-30 GPa 范围内，同时记录的静态杨氏模量在 4-17 GPa 内。该研究确定，当动态模量通过直接测量获得时，各向同性材料中的动态弹性模量与静态模量密切相关。这项实验研究证明了独立记录 P 波和 S 波速度的重要性，以便获得准确的动态模量。使用常规关系（例如克里斯滕森方程）从其测量的 P 波估计 S 波速度会给多孔材料（例如砂岩）引入大误差，从而导致动态杨氏模量的估计不准确。我们还检查了文献中现有方程的有效性，以根据其记录的 P 波和 S 波速度预测静态杨氏模量。预测值在可接受的范围内，