Numerical Simulation of Imbibition Law of Heterogeneous Sandy Conglomerate: Lattice Boltzmann Method

doi:10.19596/j.cnki.1001-246x.8346

Abstract

Abstract:

A random four-parameter method is used to reconstruct pore structure of heterogeneous sandy conglomerate. Imbibition behavior of wetting fluid in porous media is studied with an improved SC-LBM (Shan-Chen lattice Boltzmann) model. It shows that interfacial dynamics at the initial stage is closely related to the arrangement of pore skeleton, and the imbibition interface is mainly formed by matrix. As fluid flows through the pore throat, the flow cross section shrinked instantly, leading to a rapid increase in pressure gradient and flow resistance. The presence of hole roar pressure leads to the flow cross section shrinked instantly, which increases the flow resistance, indicating that the change of pore radius has a great influence on imbibition rate. In the later stage, the wetting fluid forms a dominant imbibition channel, which reduces the swept area and greatly reduces the imbibition displacement rate. This study is helpful to understand the spontaneous imbibition of fluid in heterogeneous pores, and is of great significance to imbibition and oil displacement in fractured tight reservoirs.

Key words: lattice Boltzmann, heterogeneity, infiltration absorption, sandy conglomerate

CLC Number:

O359

Liu YANG, Jingwei GAO, Yuanhan ZHENG, Xiaomei LI, Yunfan ZHANG. Numerical Simulation of Imbibition Law of Heterogeneous Sandy Conglomerate: Lattice Boltzmann Method[J]. Chinese Journal of Computational Physics, 2021, 38(5): 534-542.

Figures/Tables 12

Fig.1 Principle diagram of solid boundary springback scheme

Table 1 Physical characteristics of sandy conglomerate samples in Xinjiang

岩心编号	直径/cm	长度/cm	孔隙度/%	渗透率/mD
砂砾岩1	2.510	4.511	6.3	3.08
砂砾岩2	2.507	4.983	3.0	0.262
砂砾岩3	2.520	6.742	7.4	0.878
砂砾岩4	3.650	3.458	5.7	0.386

Fig.2 Schematic of physical model of two-dimensional Poiseuille flow

Fig.3 LBM simulation and analytical solutions

Fig.4 Pore throat model

Fig.5 Percolation law of single pore throat (a) velocity gradient cloud pattern; (b) velocity streamlines

Fig.6 (a) Pore model reconstruction; (b) Initial position and direction of flow

Fig.7 Imbibition results at different stages (Simulated termination time is 2×105.)

Fig.8 Fluid-solid contact diagram (a) boundary position; (b) local position

Fig.9 Initial phase fluid interface evolution diagram

Fig.10 Fluid enters the initial phase of the pore (a) boundary position; (b) local position

Fig.11 Migration and imbibition behavior of fluid in the matrix at (a)1 000; (b)10 000; (c)50 000; (d)105 steps

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