Inverse analysis of hydraulic fracture geometry based on data-driven simulation and acoustic emissions

&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Abstract:&amp;lt;/strong&amp;gt; Hydraulic fracturing process is invisible in geological media and is difficult to be observed. The acoustic emissions (AEs) or microseismic (MS) technologies are useful approaches to estimate the hydraulic fracturing process. However, the AEs or MS do not provide the geometry of hydraulic fractures directly, but only provides the coordinates of AEs/MS sources. Traditional analytical and statistical approaches of reproducing fracture geometry using AEs/MS sources are relatively empirical. In this work, we monitored the AEs induced by hydraulic fracturing experimentally. Then, data-driven simulation based inverse analysis approach is developed to estimate the fracture geometry according to AEs sources. The difference between hydraulic fractures and AEs sources is defined as objective function. Then, the in-situ stresses are found using the inverse analysis based on data-driven simulation. As shown in Fig. 2, the geometry of hydraulic fractures is reproduced using data-driven simulation and AEs technology.&amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;&amp;lt;strong&amp;gt;Keywords: &amp;lt;/strong&amp;gt;hydraulic fracturing, inverse analysis, data-driven simulation, acoustic emissions technology, AiFrac&amp;lt;img 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