Method for quickly determining representative element volume size of porous medium

Abstract

The invention relates to a method for quickly determining the size of representative element volume of a porous medium 3D reconstruction model, which belongs to the field of porous medium parameter research. Spherical particles following specific particle size distribution are randomly stacked through a discrete element method according to the generation process of a porous medium to get a porousmedium reconstruction model. A large enough volume element is selected, different resolutions are selected to sample the reconstruction model and calculate the permeability, an appropriate resolutionis determined, and a 3D digital image based on the reconstruction model is obtained. The porosity, the specific surface area, the permeability and the change of the variation coefficient of each parameter along with the size of the volume element are calculated, a change relation curve is obtained, the representative element volume of the reconstruction model is determined, and the relation between the representative element volume size and the average particle size is determined using the least squares method. The method can be used to quickly determine the size of representative element volume of the porous medium 3D reconstruction model.

Description

technical field

[0001] The invention relates to a method for rapidly determining the size of a characterizing unit volume of a porous medium three-dimensional reconstruction model, and belongs to the field of porous medium parameter research. Background technique

[0002] The liquid ring angular accelerometer based on the interface electric double layer effect is a new type of angular accelerometer, which has good performance in terms of accuracy, stability, and bandwidth. The solid-phase converter is the core component of the angular accelerometer, which completes the conversion of pressure signals to electrical signals. The solid-phase converter is formed by stacking and sintering glass beads conforming to a specific particle size distribution. The three-dimensional reconstruction of the solid-phase converter can be completed by using the discrete element method, and its reconstruction model can be obtained. Analysis of the reconstructed model can guide the production pro...

Examples

Embodiment

[0082] The first step: 3D reconstruction of porous media based on the discrete element method.

[0083] The solid-phase converter in the angular accelerometer is formed by stacking and sintering glass beads, and its particle size distribution is obtained by fitting the particle size of the glass beads. It fits a lognormal distribution, and the probability density distributions of different types of solid-phase converters are as follows figure 1 , the specific distribution parameters (the mean and standard deviation of the variable logarithm, the average diameter of the surface area) are shown in Table 1.

[0084] Table 1 Parameters of different particle size types of glass beads

[0085] Types of

log mean μ

log standard deviation σ

Surface area average diameter D p (um)

type1

3.2941

0.2768

32.3929

type2

3.7275

0.2732

49.7318

type3

4.1702

0.2568

75.8470

[0086] For any type of solid-phase converter, ...

technical field

[0001] The invention relates to a method for rapidly determining the size of a characterizing unit volume of a porous medium three-dimensional reconstruction model, and belongs to the field of porous medium parameter research. Background technique

[0002] The liquid ring angular accelerometer based on the interface electric double layer effect is a new type of angular accelerometer, which has good performance in terms of accuracy, stability, and bandwidth. The solid-phase converter is the core component of the angular accelerometer, which completes the conversion of pressure signals to electrical signals. The solid-phase converter is formed by stacking and sintering glass beads conforming to a specific particle size distribution. The three-dimensional reconstruction of the solid-phase converter can be completed by using the discrete element method, and its reconstruction model can be obtained. Analysis of the reconstructed model can guide the production pro...

Examples

Embodiment

[0082] The first step: 3D reconstruction of porous media based on the discrete element method.

[0083] The solid-phase converter in the angular accelerometer is formed by stacking and sintering glass beads, and its particle size distribution is obtained by fitting the particle size of the glass beads. It fits a lognormal distribution, and the probability density distributions of different types of solid-phase converters are as follows figure 1 , the specific distribution parameters (the mean and standard deviation of the variable logarithm, the average diameter of the surface area) are shown in Table 1.

[0084] Table 1 Parameters of different particle size types of glass beads

[0085] Types of

log mean μ

log standard deviation σ

Surface area average diameter D p (um)

type1

3.2941

0.2768

32.3929

type2

3.7275

0.2732

49.7318

type3

4.1702

0.2568

75.8470

[0086] For any type of solid-phase converter, ...

Images