Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544.
BP Institute, University of Cambridge, Cambridge CB3 0EZ, United Kingdom.
Proc Natl Acad Sci U S A. 2018 Aug 7;115(32):8082-8086. doi: 10.1073/pnas.1808068115. Epub 2018 Jul 26.
In hydraulic fracturing, water is injected at high pressure to crack shale formations. More sustainable techniques use aqueous foams as injection fluids to reduce the water use and wastewater treatment of conventional hydrofractures. However, the physical mechanism of foam fracturing remains poorly understood, and this lack of understanding extends to other applications of compressible foams such as fire-fighting, energy storage, and enhanced oil recovery. Here we show that the injection of foam is much different from the injection of incompressible fluids and results in striking dynamics of fracture propagation that are tied to the compressibility of the foam. An understanding of bubble-scale dynamics is used to develop a model for macroscopic, compressible flow of the foam, from which a scaling law for the fracture length as a function of time is identified and exhibits excellent agreement with our experimental results.
在水力压裂中,水被高压注入以破裂页岩地层。更可持续的技术使用水基泡沫作为注入流体,以减少传统水力压裂的用水量和废水处理。然而,泡沫压裂的物理机制仍未得到很好的理解,这种理解的缺乏也延伸到了可压缩泡沫的其他应用,如消防、储能和提高石油采收率。在这里,我们表明,泡沫的注入与不可压缩流体的注入有很大的不同,并且导致了与泡沫的可压缩性相关的惊人的裂缝扩展动力学。对气泡尺度动力学的理解被用于开发泡沫宏观可压缩流动的模型,从中确定了裂缝长度随时间的标度律,并与我们的实验结果非常吻合。