考虑多层吸附诱导流的页岩微纳米孔道渗流分形模型

胡世旺; 张赛; 汪振毅

doi:10.3969/j.issn.1006-6535.2023.01.020

特种油气藏 >

2023 , Vol. 30 >Issue 1: 139 - 146

DOI: https://doi.org/10.3969/j.issn.1006-6535.2023.01.020

油藏工程

考虑多层吸附诱导流的页岩微纳米孔道渗流分形模型

胡世旺 ,
张赛 ,
汪振毅

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昆明理工大学,云南昆明 650500

胡世旺(1997—),男,2016年毕业于萍乡学院机械设计制造及自动化专业,现为昆明理工大学机械工程专业在读硕士研究生,研究方向为地下储层传质传热机理。

收稿日期: 2022-01-04

修回日期: 2022-10-25

网络出版日期: 2023-03-24

基金资助

云南省科技厅青年基金“基于分形理论的多孔材料热质传递系数与热-质全耦合数学模型” (KKSQ201701008)

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Fractal Model of Micro-Nano Pore Seepage in Shale Considering the Multi-Layer Adsorption Induced Flow

Hu Shiwang ,
Zhang Sai ,
Wang Zhenyi

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Kunming University of Science and Technology, Kunming, Yunnan 650500, China

Received date: 2022-01-04

Revised date: 2022-10-25

Online published: 2023-03-24

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摘要

针对页岩气渗流过程模拟难度大的问题,运用分形理论描述页岩气储层微观结构,基于吸附层多层吸附现象,考虑了压力敏感效应和真实气体效应,推导了微纳米页岩气的质量流量表达式,建立了页岩气微纳米分形表观渗透率模型。通过数值模拟与昭通页岩气田A1井实际生产数据进行对比,验证了模型的准确性。结果表明:孔道表面吸附气层数对压力变化的敏感性较高,对温度变化的敏感性较低;受压力敏感效应的影响,页岩气扩散阻力随之增大,使得表观渗透率下降;随着气体压缩因子的增大,吸附层厚度增加,吸附区截面面积占比提高,同时,页岩孔道的压力敏感效应使得孔道直径减小,吸附气诱导流随之先减小后趋于平缓,使得页岩气整体表观渗透率减小。研究成果可为页岩气数值模拟提供部分理论基础,通过控制影响页岩气分形渗透的主控要素提高页岩气压裂开发采收率。

关键词： 多层吸附; 微纳米; 压力敏感效应; 真实气体效应; 吸附气诱导流; 分形

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胡世旺 , 张赛 , 汪振毅 . 考虑多层吸附诱导流的页岩微纳米孔道渗流分形模型[J]. 特种油气藏, 2023 , 30(1) : 139 -146 . DOI: 10.3969/j.issn.1006-6535.2023.01.020

Abstract

In view of the great difficulty of simulating the shale gas seepage process, fractal theory is applied to describe the microstructure of shale gas reservoir. Based on the multi-layer adsorption phenomenon of adsorption layer, the pressure sensitive effect and the real gas effect are taken into account, the mass flow expression of micro-nano shale gas is derived, and the micro-nano fractal apparent permeability model of shale gas is also established. The accuracy of the model is verified by comparing the numerical simulation with the actual production data of Well A1 in Zhaotong shale gas field. The result shows that the number of adsorbed gas layers on the pore surface is more sensitive to pressure change, but less sensitive to temperature change. Due to the pressure sensitive effect, as the diffusion resistance of shale gas increases, the apparent permeability decreases. With the increase of gas compression factor, the thickness of the adsorption layer increases and the section area ratio of the adsorption zone increases. Moreover, the pressure sensitive effect of the shale pore decreases the pore diameter, and the induced flow of the adsorbed gas decreases first and then tends to be gentle, thus reducing the overall apparent permeability of shale gas. The research results can provide part of the theoretical basis for the numerical simulation of shale gas and improve the recovery efficiency of shale gas fracturing by controlling the main control elements that affect the fractal permeability of shale gas.

Key words： multi-layer absorption; micro-nano; pressure sensitive effect; real gas effect; induced flow of absorbed gas; fractal

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