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Currently, most rock physics models, used for evaluating the elastic properties of cracked or fractured media, take into account the crack properties, but not the background anisotropy. This creats the errors of in the anisotropy estimates by using field logging data. In this work, based on the scattered wavefield theory, a sphere-equivalency method of elastic wave scattering was developed to accurately calculate the elastic properties of a vertical transversely isotropic solid containing aligned cracks. By setting the scattered wavefield due to a crack equal to that due to an equivalent sphere, an effective elastic stiffness tensor was derived for the cracked medium. The stability and accuracy of the approach were determined for varying background anisotropy values. The results show that the anisotropy of the effective media is affected by cracks and background anisotropy for transversely isotropic background permeated by horizontally aligned cracks, especially for the elastic wave propagating along the horizontal direction. Meanwhile, the crack orientation has a significant influence on the elastic wave velocity anisotropy. The theory was subsequently applied to model laboratory ultrasonic experimental data for artificially cracked samples and to model borehole acoustic anisotropy measurements. After considering the background anisotropy, the model shows an improvement in the agreement between theoretical predictions and measurement data, demonstrating that the present theory can adequately explain the anisotropic characteristics of cracked media.
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Xu Song, first author, selected in Young Elite Scientist Sponsorship Program by the China Association for Science and Technology, received his Ph.D., Sc.D., and B.S. degrees from China Petroleum University (East China) in 2019, 2015, and 2012, respectively. He performed research at the University of Texas at Austin as a joint Ph.D. student. He is currently working at the China University of Petroleum (East China) and is primarily engaged in the study of borehole acoustic logging theory, methodology, and field data processing; rock physics theory; and other aspects of research. Email: xusongupc@sina.com
These include flat surface cracks and wall cracking effects. The flat surfaces are great for applying onto 2D and 3D surfaces as animated textures. The wall cracks include debris particulate for extra realism. These effects pair nicely with the 4K ground crack effects on FootageCrate.
The water table is an underground boundary between the soil surface and the area where groundwater saturates spaces between sediments and cracks in rock. Water pressure and atmospheric pressure are equal at this boundary.
The soil surface above the water table is called the unsaturated zone, where both oxygen and water fill the spaces between sediments. The unsaturated zone is also called the zone of aeration due to the presence of oxygen in the soil. Underneath the water table is the saturated zone, where water fills all spaces between sediments. The saturated zone is bounded at the bottom by impenetrable rock.
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