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Water
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Flow and Transport in Fractured Porous Media
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Flow and Transport in Fractured Porous Media

A special issue of Water (ISSN 2073-4441). This special issue belongs to the section "Hydraulics and Hydrodynamics".

Deadline for manuscript submissions: closed (31 January 2022) | Viewed by 11015

Special Issue Editors

Dr. Zhenjiang You

E-Mail Website
Guest Editor
School of Chemical Engineering, The University of Queensland, Brisbane, Australia
Interests: transport phenomena in porous media; enhanced oil and gas recovery; formation damage; mathematical modeling; analytical and numerical methods
Special Issues, Collections and Topics in MDPI journals
Dr. Chengyuan Xu

E-Mail Website
Guest Editor
State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, China
Interests: formation damage; lost circulation; unconventional reservoir drilling and completion; particulate suspension transport; granule matter mechanics; CFD-DEM modelling
Prof. Dr. Jianchao Cai

grade E-Mail Website
Guest Editor
College of Geosciences, China University of Petroleum, Beijing 102249, China
Interests: porous media; nanofluids; EOR; fractal; capillary pressure; imbibition; mutlphase flow in porous media
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Research on flow and transport in fractured porous media has attracted strong interest for many decades. It is still of great importance for a broad range of natural and industrial applications today, such as unconventional oil and gas recovery, fine migration and formation damage in oil/gas/gas hydrate/geothermal reservoirs and aquifers, lost circulation in drilling engineering, solute and contaminant transport in groundwater, ions/tracers/reactive transport in fractured media at different scales, subsurface gas storage (CH4, CO2 and H2), suspension/colloid/nano transport and retention in heterogeneous media, fracture network modelling, environmental engineering and modeling, mining engineering, etc.

However, these complex problems often exhibit multiscale, multiphase, and multiphysics transport characteristics. Motivation of thorough understanding of their physical principles and new development of predictive methods inspire active and innovative research in these areas. This Special Issue aims to highlight the most recent advances in flow and transport in fractured porous media, from a theoretical or practical perspective. Research topics include but are not limited to the areas mentioned above. Original research and review articles on mathematical modeling, numerical simulation, and experimental and field studies are all welcome.

Dr. Zhenjiang You
Dr. Chengyuan Xu
Prof. Dr. Jianchao Cai
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Water is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fractured porous media
  • single and multiphase flow
  • particle and reactive transport
  • mathematical modelling
  • numerical simulation
  • experimental and field studies

Published Papers (5 papers)

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Research

19 pages, 3304 KiB  
Article
Gas–Water Two-Phase Flow Characteristics and Flowback Evaluation for Shale Gas Wells
by Weiyang Xie, Jianfa Wu, Xuefeng Yang, Cheng Chang and Jian Zhang
Water 2022, 14(10), 1642; https://doi.org/10.3390/w14101642 - 20 May 2022
Cited by 3 | Viewed by 1571
Abstract
The dynamic characteristics of shale gas wells are complexly affected by the gas–water two-phase flow. Based on the special flow mechanism of gas–water two-phase flow in shale gas reservoir, this paper establishes a mathematical model for gas–water two-phase flow in shale gas multi-stage [...] Read more.
The dynamic characteristics of shale gas wells are complexly affected by the gas–water two-phase flow. Based on the special flow mechanism of gas–water two-phase flow in shale gas reservoir, this paper establishes a mathematical model for gas–water two-phase flow in shale gas multi-stage fractured horizontal wells, introduces the eigenvalue method and orthogonal transformation, and obtains the analytical solution of the two-phase flow model. The gas–water two-phase flow rules and main influence factors of shale gas wells were identified, further combined with the flowback test characteristics and data of the shale gas wells in southern Sichuan, the characteristic parameters for the evaluation of the gas well flowback effect were determined, and an index system was established for the evaluation of shale gas well flowback. The analysis result shows that the shale gas well flowback effect has a good relationship with its production capacity, which is mainly reflected in the flowback characteristic parameters such as gas breakthrough time, gas breakthrough flowback rate, 30 d flowback rate, and maximum production flowback rate. The shale gas wells with lower flowback factors have a better production capacity than those with higher flowback factors. The flowback evaluation index system can accurately forecast the shale gas well production capacity in its initial stage, and furthermore offer guidance to promptly ascertaining the block development potential and formulating the development schemes. Full article
(This article belongs to the Special Issue Flow and Transport in Fractured Porous Media)
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15 pages, 4204 KiB  
Article
Theoretical Research on Sand Penetration Grouting Based on Cylindrical Diffusion Model of Tortuous Tubes
by Xuesong Wang, Hua Cheng, Zhishu Yao, Chuanxin Rong, Xianwen Huang and Xiaoyan Liu
Water 2022, 14(7), 1028; https://doi.org/10.3390/w14071028 - 24 Mar 2022
Cited by 6 | Viewed by 2007
Abstract
The penetration paths of grouts in sand layers are tortuous, and there is no reasonable penetration grouting theory at present. By employing tortuous circular tubes as the internal penetration pore channels of the sand layer, the cylindrical diffusion model is established for sand-layer [...] Read more.
The penetration paths of grouts in sand layers are tortuous, and there is no reasonable penetration grouting theory at present. By employing tortuous circular tubes as the internal penetration pore channels of the sand layer, the cylindrical diffusion model is established for sand-layer penetration grouting. First, the permeability of porous media and average penetration velocity of Bingham slurry were deduced by considering tortuosity. Second, based on the penetration continuity equation, the active steady-state penetration differential equation of Bingham slurry and the pressure distribution function of slurry in the diffusion region were obtained. Finally, combined with the indoor penetration grouting test results, the attenuation law of slurry pressure and the influencing factors of diffusion radius were discussed. The results show that the cylindrical diffusion model of tortuous tubes can better characterize the diffusion process of penetration grouting in the sand layer. The stop condition for diffusion during penetration grouting is the reduction of the pressure gradient of the slurry to its starting value. The slurry pressure attenuation has obvious stages. The slurry pressure attenuation is faster in the area close to the grouting tube. At 50% of the maximum diffusion radius, the pressure attenuation is 70.01~75.41% of the total pressure attenuation within the diffusion region. Increasing the grouting pressure and permeability coefficient and reducing the slurry viscosity ratio can greatly increase the slurry diffusion radius. These results provide a theoretical basis for determining sand grouting parameters in the future. Full article
(This article belongs to the Special Issue Flow and Transport in Fractured Porous Media)
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10 pages, 677 KiB  
Article
Analytical Solution for Fractional Well Flow in a Double-Porosity Aquifer with Fractional Transient Exchange between Matrix and Fractures
by Florimond De Smedt
Water 2022, 14(3), 456; https://doi.org/10.3390/w14030456 - 02 Feb 2022
Cited by 2 | Viewed by 1648
Abstract
An analytical solution is presented for groundwater flow to a well in an aquifer with double-porosity behavior and transient transfer between fractures and matrix. The solution is valid for fractional flow dimensions including linear, cylindrical or spherical flow to the well and for [...] Read more.
An analytical solution is presented for groundwater flow to a well in an aquifer with double-porosity behavior and transient transfer between fractures and matrix. The solution is valid for fractional flow dimensions including linear, cylindrical or spherical flow to the well and for fractional inter-porosity diffusive transfer including release from storage in infinite slabs, infinite cylinders or spherical matrix blocks. Approximations are also presented for small and large times that are easy to evaluate in practice. The solution can be used to analyze pumping tests via coupling with a parameter estimation code. The utility of the method is demonstrated by a practical example using data from a pumping test performed in a fractured chalk aquifer. The analytical solution allows the accurate modeling of pumping tests and the estimation of aquifer parameters that are statistically significant and physically relevant. Full article
(This article belongs to the Special Issue Flow and Transport in Fractured Porous Media)
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14 pages, 3587 KiB  
Article
A Pore Network Approach to Study Throat Size Effect on the Permeability of Reconstructed Porous Media
by Kai Xu, Wei Wei, Yin Chen, Haitao Tian, Sai Xu and Jianchao Cai
Water 2022, 14(1), 77; https://doi.org/10.3390/w14010077 - 03 Jan 2022
Cited by 7 | Viewed by 2822
Abstract
Permeability is usually considered to be related to porosity. However, rocks with the same porosity may have different permeabilities in some cases, because of the variations in pore and throat size and pore space connectivity. It is vitally important to understand the effect [...] Read more.
Permeability is usually considered to be related to porosity. However, rocks with the same porosity may have different permeabilities in some cases, because of the variations in pore and throat size and pore space connectivity. It is vitally important to understand the effect of throat size on the transport property. In this work, five sets of regular pore network models and six core-based models are employed to study the effect of throat size on permeability. Four kinds of random distributions, i.e., uniform, normal, Weibull, and log normal, are utilized to generate random pore size. Pore coordination number is set to be two and six for the verification of the effect of connectivity on permeability. Then, single-phase flow simulation is conducted based on the constructed pore network models. The simulation results show that permeability decreases significantly when only one of the nine throats reduces to half size in terms of diameter. The influence of pore coordination number on permeability is not obvious compared to that of small throat size. This study indicates that small throats play an extremely important role in determining permeability. Full article
(This article belongs to the Special Issue Flow and Transport in Fractured Porous Media)
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13 pages, 3717 KiB  
Article
The Influence of Fracture on the Permeability of Carbonate Reservoir Formation Using Lattice Boltzmann Method
by Lei Zhang, Jingjing Ping, Pinghua Shu, Chao Xu, Aoyang Li, Qingdong Zeng, Pengfei Liu, Hai Sun, Yongfei Yang and Jun Yao
Water 2021, 13(22), 3162; https://doi.org/10.3390/w13223162 - 09 Nov 2021
Viewed by 1757
Abstract
Due to the complex conditions of carbonate reservoir, in this paper, a unified lattice Boltzmann method was used to study the rule of the flow in carbonate reservoir as the foundation. Two group models were designed to simulate the influences of fractures and [...] Read more.
Due to the complex conditions of carbonate reservoir, in this paper, a unified lattice Boltzmann method was used to study the rule of the flow in carbonate reservoir as the foundation. Two group models were designed to simulate the influences of fractures and vugs. In experiments, at first, the model for carbonate reservoir considering different amounts and lengths of fractures was considered. Then, the model was improved by taking the influences of fractures and vugs into consideration. The result from the first group shows that the whole permeability enhanced a lot when multiple fractures form a big one which connects to two boundaries. At the same time, the main result of the other group shows that the main capability of vugs is flow accumulation. Through a series of experiments, the flow rule in carbonate reservoir with vugs and fractures is proved based on LBM theory, which has a huge impact on the study in LBM and researches on carbonate reservoir. Full article
(This article belongs to the Special Issue Flow and Transport in Fractured Porous Media)
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