Heterogeneity and anisotropy were characterized in some Eagle Ford shale samples at various scales by use of scanning-electron-microscopy (SEM) imaging, computed-tomography (CT) scanning, and compressional-velocity scanning. Triaxial testing on 1-in.-diameter and 3-in.-diameter core samples and well-log analysis were used to calculate elastic properties by using vertical transverse isotropic modeling. Correlations between the stiffness coefficients and the correlations between static and dynamic properties from laboratory tests were applied to well-log analysis to improve the calculation of minimum horizontal stress. This paper provides the elastic properties of the Eagle Ford shale at various measurement scales. The paper also elaborates the role of heterogeneity in laboratory testing of shale reservoirs.