Special Issue "Meshless, Mesh-Based and Mesh-Reduction Methods Based Analysis of Fluid Flow in Porous Media"

Submission Deadline: 01 September 2022
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Guest Editors
Dr. Xiang Rao, Yangtze University, China
Dr. Yonghui Wu, China University of Mining and Technology, China
Dr. Yunfeng Xu, Yangtze University, China


Grid-based finite difference method, finite element method and finite volume method are widely used to solve various flow problems in porous media, and have always been the mainstream methods in the field of numerical calculation from the past to the present. For some complex flow scenarios, the grid-based method has great difficulties in generating high-quality mesh. Under this background, meshless methods came into being and developed rapidly. In recent years, there have also been some theoretical and application researches on meshless methods. The meshless method breaks through the limitation of the traditional numerical methods based on mesh division, and has theoretical advantages in high-speed impact, dynamic crack propagation, fluid-solid coupling and other problems related to large deformation, mesh distortion, adaptive analysis, etc. However, up to now, this method still does not occupy enough shares in the field of numerical calculation of flow problems. In addition, this special issue also focuses on the application effect and performance analysis of other mesh-reduction methods (such as boundary element method, point source function method, multiscale methods, order-reduction methods and etc.) in various fluid flow problems in porous media.

In all, this special issue aims to analyze the following issues but not limited in these issues:

(1) Computational performances, limitations and advantages of meshless methods;

(2) Computational performances, limitations and advantages of mesh-based methods;

(3) Computational performances, limitations and advantages of mesh-reduction methods;

(4) key factors affecting the accuracy of these methods;

(5) Does meshless methods have an advantage in calculation accuracy and efficiency compared with mesh-based methods?

(6) The differences of computing performance when various meshless methods are applied.

Flow in porous media; meshless methods; mesh-reduction method

Published Papers

  • Numerical Simulation of Two-Phase Flow in Glutenite Reservoirs for Optimized Deployment in Horizontal Wells
  • Abstract It is known that the pore media characteristics of glutenite reservoirs are different from those of conventional sandstone reservoirs. Low reservoir permeability and naturally developed microfractures make water injection in this kind of reservoir very difficult. In this study, new exploitation methods are explored. Using a real glutenite reservoir as a basis, a three-dimensional fine geological model is elaborated. Then, combining the model with reservoir performance information, and through a historical fitting analysis, the saturation abundance distribution of remaining oil in the reservoir is determined. It is shown that, using this information, predictions can be made about whether the considered… More
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  • Simulation of Oil-Water Flow in a Shale Reservoir Using a Radial Basis Function
  • Abstract Due to the difficulties associated with preprocessing activities and poor grid convergence when simulating shale reservoirs in the context of traditional grid methods, in this study an innovative two-phase oil-water seepage model is elaborated. The modes is based on the radial basis meshless approach and is used to determine the pressure and water saturation in a sample reservoir. Two-dimensional examples demonstrate that, when compared to the finite difference method, the radial basis function method produces less errors and is more accurate in predicting daily oil production. The radial basis function and finite difference methods provide errors of 5.78 percent and… More
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  • A Method for Identifying Channeling Paths in Low-Permeability Fractured Reservoirs
  • Abstract Often oilfield fractured horizontal wells produce water flowing in multiple directions. In this study, a method to identify such channeling paths is developed. The dual-medium model is based on the principle of inter-well connectivity and considers the flow characteristics and related channeling terms. The Lorentz curve is drawn to qualitatively discern the geological type of the low-permeability fractured reservoir and determine the channeling direction and size. The practical application of such an approach to a sample oilfield shows that it can accurately identify the channeling paths of the considered low-permeability fractured reservoir and predict production performances according to the inter-well… More
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  • Experimental Study and Numerical Simulation of Polymer Flooding
  • Abstract The numerical simulation of polymer flooding is a complex task as this process involves complex physical and chemical reactions, and multiple sets of characteristic parameters are required to properly set the simulation. At present, such characteristic parameters are mainly obtained by empirical methods, which typically result in relatively large errors. By analyzing experimentally polymer adsorption, permeability decline, inaccessible pore volume, viscosity-concentration relationship, and rheology, in this study, a conversion equation is provided to convert the experimental data into the parameters needed for the numerical simulation. Some examples are provided to demonstrate the reliability of the proposed approach. More
  • Graphical Abstract

    Experimental Study and Numerical Simulation of Polymer Flooding
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  • A Model for the Connectivity of Horizontal Wells in Water-Flooding Oil Reservoirs
  • Abstract As current calculation models for inter-well connectivity in oilfields can only account for vertical wells, an updated model is elaborated here that can predict the future production performance and evaluate the connectivity of horizontal wells (or horizontal and vertical wells). In this model, the injection-production system of the considered reservoir is simplified and represented with many connected units. Moreover, the horizontal well is modeled with multiple connected wells without considering the pressure loss in the horizontal direction. With this approach, the production performance for both injection and production wells can be obtained by calculating the bottom-hole flowing pressure and oil/water… More
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  • Analysis of the Weight Loss of High Temperature Cement Slurry
  • Abstract The weight loss of cement slurry is the main cause of early annular air channeling and accurate experimental evaluation of the law of loss change is the key to achieve compression stability and prevent this undesired phenomenon. Typically, tests on the pressure loss of cement slurry are carried out for temperature smaller than 120°C, and this condition cannot simulate effectively the situation occurring in high temperature wells. For this reason, in this study a series of experimental tests have been conducted considering a larger range of temperatures, different retarders and fluid loss additives. The results show that with an increase… More
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