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首页> 外文期刊>Applied Mathematical Modelling >Direct numerical simulation of proppant transport in hydraulic fractures with the immersed boundary method and multi-sphere modeling
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Direct numerical simulation of proppant transport in hydraulic fractures with the immersed boundary method and multi-sphere modeling

机译：用浸没边界法和多球形建模的液压骨折支线输送的直接数值模拟

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摘要

In this paper, a resolved CFD-DEM method based on the immersed boundary method is proposed to simulate the proppant transport process, which is a multi-phase problem with strong fluid-particle coupling mechanisms in the oil and gas industry. A multi-sphere model is integrated into this method to describe complex particle shapes, in which La-grangian points uniformly distributed on the particle surface are efficiently utilized for solving particle-particle interactions. This approach is validated by several benchmarks, including single-sphere and two-sphere settling tests. A modified driving pressure gradient is also adopted to satisfy bulk velocity constraints for simulating particle settling problems in periodic channels. Transport and settling behaviors of hundreds of sphere and cylinder proppant particles in periodic narrow channels with different widths are investigated, and settling laws and apparent viscosity models for proppant clouds with different shapes are then extracted from the simulation results. Benefiting from the features of multi-sphere modeling, this approach is demonstrated to be both robust and efficient for simulating fluid-particle coupling flow with complex particle shapes.
机译：本文提出了一种基于浸没边界法的分辨的CFD-DEM方法来模拟支撑剂运输过程，其是油气工业中具有强流体粒子耦合机制的多相问题。将多个球模型集成到该方法中以描述复杂的颗粒形状，其中均匀地分布在颗粒表面上的La-Grangian点被有效地用于溶解颗粒颗粒相互作用。这种方法由几个基准验证，包括单个球体和两个球体沉降测试。还采用改进的驱动压力梯度来满足用于在周期性通道中模拟粒子沉降问题的体积速度约束。研究了数百个球体和气缸支撑剂颗粒的运输和稳定行为，其周期性窄通道具有不同宽度的不同宽度，然后从模拟结果中提取具有不同形状的支撑剂云的沉降法和表观粘度模型。受益于多个球体建模的特征，对模拟具有复杂颗粒形状的流体粒子耦合流来证明这种方法是鲁棒和有效的。

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