A volumetric-smoothed particle hydrodynamics based Eulerian-Lagrangian framework for simulating proppant transport
A volumetric-smoothed particle hydrodynamics based Eulerian-Lagrangian framework for simulating proppant transport
复制标题
基于体积平滑颗粒流体动力学的欧拉-拉格朗日框架，用于模拟支撑剂输运
DOI：
10.1016/j.petrol.2022.111129
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发表时间：
2023
影响因子：
--
通讯作者：
Jian Zheng
中科院分区：
文献类型：
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作者：
Huiying Tang;Zhicheng Wen;Liehui Zhang;Junsheng Zeng;Xiao He;Jianfa Wu;Jian Zheng
石油工程中支撑剂输运模拟采用了不同的数值方法，大致可分为欧拉-欧拉模型和欧拉-拉格朗日模型。最近，混合欧拉-拉格朗日（E-L）方法，即多相颗粒细胞（MP-PIC）方法，通过引入颗粒团（颗粒簇）的概念，已成功应用于模拟大规模支撑剂输运问题。在MP-PIC方法中，颗粒-颗粒相互作用力被表示为颗粒应力的梯度。该梯度的计算强烈依赖于粒子属性和欧拉网格之间的插值，这可能导致非物理粒子悬浮、粒子团聚和非守恒粒子间相互作用等问题。本研究提出了一种新方法——体积平滑颗粒流体动力学（V-SPH）方法，以提高原始MP-PIC方法中颗粒与颗粒相互作用力的计算精度。 V-SPH方法中，颗粒应力梯度的计算不再依赖于背景欧拉网格，也保证了颗粒间应力的守恒。本文详细介绍了基于V-SPH的欧拉-拉格朗日框架。所提出的 V-SPH 方法的可靠性根据文献中的数值和实验结果进行了验证。通过与原始MP-PIC方法的比较，我们发现所提出的新模型可以很好地解决非物理颗粒团聚以及非物理颗粒悬浮问题。此外，还研究了V-SPH方法中的一些关键参数对仿真结果的影响。研究发现，PPP（每块颗粒数）的选择和边界颗粒缺陷的处理对于模型的准确性和效率起着重要作用。本文提出的V-SPH方法比原始MP-PIC方法能够提供更准确的结果，特别是在支撑剂浓度较稠密的区域，具有相当的计算效率。通过正确处理边界缺陷，它有望用于更复杂的现场规模支撑剂传输问题。
Different numerical methods have been applied to simulate the proppant transport in petroleum engineering, which can be roughly categorized as the Eulerian-Eulerian and Eulerian-Lagrangian models. Recently, a hybrid Eulerian-Lagrangian (E-L) approach, the multiphase particle-in-cell (MP-PIC) method, has been successfully applied to model large-scale proppant transport problems by introducing the concept of parcels (clusters of particle). In the MP-PIC method, particle-particle interaction force is expressed as the gradient of particle stress. The calculation of this gradient strongly depends on the interpolation between particle properties and Eulerian grids, which could lead to problems such as non-physical particle suspension, particle agglomeration and non-conserved interparticle interactions. In this study, a new method, the volumetric-smoothed particle hydrodynamics (V-SPH) method, is proposed to improve the calculation accuracy of the particle-particle interaction forces in the original MP-PIC method. In the V-SPH method, the calculation of the particle stress gradient no longer depends on the background Eulerian grids and the conservation of the interparticle stress is also guaranteed. In this paper, detailed introduction of the V-SPH based Eulerian-Lagrangian framework is provided. The reliability of the proposed V-SPH method is validated against both the numerical and experimental results in literature. By comparing with the original MP-PIC method, we observe that the non-physical particle agglomeration, as well as non-physical particle suspension problems can be well solved with the proposed new model. In addition, the impact of some key parameters in the V-SPH method on simulation results are also investigated. The choice of the PPP (number of particles per parcel) and the treatment of boundary particle deficiency are found to play important roles in model accuracy and efficiency. The V-SPH method proposed in this work can provide more accurate results than the original MP-PIC method, especially in the regions of dense proppant concentration, with comparable computing efficiency. With proper treatment of boundary deficiencies, it is promising to be used in more complex field-scale proppant transport problems.