A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs

Chang, Ailian1; Sun, HongGuang1; Zheng, Chunmiao2; Lu, Bingqing3; Lu, Chengpeng4; Ma, Rui5; Zhang, Yong3

2018-07-15

10.1016/j.physa.2018.02.080

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS   影响因子和分区

0378-4371

1873-2119

Fractional-derivative models have been developed recently to interpret various hydrologic dynamics, such as dissolved contaminant transport in groundwater. However, they have not been applied to quantify other fluid dynamics, such as gas transport through complex geological media. This study reviewed previous gas transport experiments conducted in laboratory columns and real-world oil-gas reservoirs and found that gas dynamics exhibit typical sub-diffusive behavior characterized by heavy late-time tailing in the gas breakthrough curves (BTCs), which cannot be effectively captured by classical transport models. Numerical tests and field applications of the time fractional convection-diffusion equation (fCDE) have shown that the fCDE model can capture the observed gas BTCs including their apparent positive skewness. Sensitivity analysis further revealed that the three parameters used in the fCDE model, including the time index, the convection velocity, and the diffusion coefficient, play different roles in interpreting the delayed gas transport dynamics. In addition, the model comparison and analysis showed that the time fCDE model is efficient in application. Therefore, the time fractional-derivative models can be conveniently extended to quantify gas transport through natural geological media such as complex oil-gas reservoirs. (C) 2018 Elsevier B.V. All rights reserved.

Gas transport Fractional-derivative model Heavy tail Numerical simulation Parameter sensitivity

SCI ; EI

英语

其他

National Natural Science Foundation of China[41330632] ; National Natural Science Foundation of China[11572112] ; National Natural Science Foundation of China[41628202]

Physics

Physics, Multidisciplinary

WOS:000432513200030

ELSEVIER SCIENCE BV

20181104888141

Computer simulation ; Diffusion ; Gas dynamics ; Gases ; Geology ; Groundwater ; Groundwater pollution ; Heavy oil production ; Partial differential equations ; Sensitivity analysis ; Soil testing

Groundwater:444.2 ; Geology:481.1 ; Soils and Soil Mechanics:483.1 ; Oil Field Production Operations:511.1 ; Gas Dynamics:631.1.2 ; Computer Applications:723.5 ; Mathematics:921 ; Calculus:921.2 ; Physical Properties of Gases, Liquids and Solids:931.2

PHYSICS

Web of Science

1.Hohai Univ, Coll Mech & Mat, Inst Soft Matter Mech, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China
2.Southern Univ Sci & Technol, Sch Environm Sci & Engn, Shenzhen 518055, Guangdong, Peoples R China
3.Univ Alabama, Dept Geol Sci, Tuscaloosa, AL 35487 USA
4.Hohai Univ, Coll Hydrol & Water Resources, Nanjing 210098, Jiangsu, Peoples R China
5.China Univ Geosci, Sch Environm Sci, Wuhan 430074, Hubei, Peoples R China

Chang, Ailian,Sun, HongGuang,Zheng, Chunmiao,et al. A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2018,502:356-369.

Chang, Ailian.,Sun, HongGuang.,Zheng, Chunmiao.,Lu, Bingqing.,Lu, Chengpeng.,...&Zhang, Yong.(2018).A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,502,356-369.

Chang, Ailian,et al."A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 502(2018):356-369.