In formation, fracture surfaces are rough and proppant embedment is complex. However, when conducting proppant embedding experiments, most researchers assume a smooth fracture surface, which does not accurately reflect the real fracture. As a result, the rough fracture surface is scanned by three dimension (3D) laser to reconstruct the rough fracture based on the point data in this paper, which established a “proppant - rough fracture” contact model based on finite element theory, analyzed the influence (the closure stress and young's modulus of proppant, proppant size, the elastic modulus of proppant and rock) of embedment depth in the rough fracture. Numerical simulation results show that the embedment depth of the proppant increases with the increase of closure stress. The embedment depth of proppant on rough fracture surface increases with the increase of proppant elastic modulus but decreases with the increase of rock's elastic modulus. The embedment depth of the proppant in the rough fracture is smaller than that in a smooth plate under the same closure stress. To ensure the consistency, repeatability, and accuracy of the rough fracture surface, it was analyzed using reverse reconstruction. This study can be used as a simple method to investigate the rule of proppant embedment in rough fracture surfaces to provide a reference and basis for hydraulic fracturing in the oilfield.

在地层中，裂缝表面粗糙，支撑剂嵌入复杂。然而，在进行支撑剂包埋实验时，大多数研究人员假设裂缝表面是光滑的，这并不能准确反映真实的裂缝。因此，本文采用三维（3D）激光扫描粗糙裂缝面，基于点数据重建粗糙裂缝，建立基于有限元理论的“支撑剂-粗糙裂缝”接触模型，分析粗糙裂缝中嵌入深度的影响（支撑剂的闭合应力和杨氏模量、支撑剂尺寸、支撑剂和岩石的弹性模量）。数值模拟结果表明，支撑剂的嵌入深度随着闭合应力的增加而增加。支撑剂在粗糙断面上的嵌入深度随着支撑剂弹性模量的增加而增加，随着岩石弹性模量的增加而减小。在相同闭合应力下，支撑剂在粗糙裂缝中的嵌入深度小于在光滑板中的嵌入深度。为保证粗糙断面的一致性、可重复性和准确性，采用逆向重建对其进行分析。该研究可作为一种简单的方法研究粗糙裂缝面支撑剂的嵌入规律，为油田水力压裂提供参考和依据。为保证粗糙断面的一致性、可重复性和准确性，采用逆向重建对其进行分析。该研究可作为一种简单的方法研究粗糙裂缝面支撑剂的嵌入规律，为油田水力压裂提供参考和依据。为保证粗糙断面的一致性、可重复性和准确性，采用逆向重建对其进行分析。该研究可作为一种简单的方法研究粗糙裂缝面支撑剂的嵌入规律，为油田水力压裂提供参考和依据。