Digital image reduction for the analysis of topological changes in the pore space of rock matrix

2021 ◽  
Vol 136 ◽  
pp. 104171
Author(s):  
Dmitriy Prokhorov ◽  
Vadim Lisitsa ◽  
Yaroslav Bazaikin
Author(s):  
Д.И. Прохоров ◽  
Я.В. Базайкин ◽  
В.В. Лисица

В работе предложен алгоритм редукции трехмерных цифровых изображений для ускорения вычисления персистентных диаграмм, характеризующих изменения в топологии порового пространства образцов горной породы. Воксели для удаления выбираются исходя из структуры своей окрестности, что позволяет редуцировать изображение за линейное время. Показано, что эффективность алгоритма существенно зависит от сложности устройства порового пространства и размеров шагов фильтрации. A new algorithm for the reduction of three-dimensional digital images is proposed to improve the performance of persistence diagrams computing. These diagrams represent changes in topology of the pore space in the rock matrix. The algorithm has a linear complexity, since the removal of the voxel is based on the structure of its neighborhood. It is shown that the efficiency of the algorithm depends heavily on the complexity of the pore space and the size of filtering steps.


2021 ◽  
Vol 2 (2) ◽  
pp. 251-257
Author(s):  
Dmitriy I. Prokhorov ◽  
Vadim V. Lisitsa ◽  
Yaroslav V. Bazaikin

The article describes the application of the digital image reduction algorithm to speed up the calculation of persistent diagrams that describe changes in the topology of the pore space of the rock matrix during the dissolution process. The dependence of the efficiency of the reduction algorithm on the properties of the rock sample and the value of the discrete time step is shown.


2008 ◽  
Vol 1124 ◽  
Author(s):  
Mikko Voutilainen ◽  
Suvi Lamminmäki ◽  
Jussi Timonen ◽  
Marja Siitari-kauppi ◽  
Daniel Breitner

AbstractEvaluation of the transport and retardation properties of rock matrices that serve as host rock for nuclear waste repositories necessitates their thorough pore-space characterization. Relevant properties to be quantified include the diffusion depth and volume adjacent to water conducting features. The bulk values of these quantities are not sufficient due to the heterogeneity of mineral structure on the scale of the expected transport/interaction distances. In this work the 3D pore structure of altered granite samples with porosities of 5 to 15%, taken next to water conducting fractures at 180 200 m depth in Sievi, Finland, was studied. Characterization of diffusion pathways and porosity were based on quantitative autoradiography of rock sections impregnated with C14-labelled polymethylmethacrylate (PMMA). Construction of 3D structure from PMMA autoradiographs was tested. The PMMA method was augmented by field emission scanning electron microscopy and energy-dispersive X-ray analyses (FESEM/EDAX) in order to study small pore-aperture regions in more detail and to identify the corresponding minerals. The 3D distribution of minerals and their abundances were determined by X-ray microtomography. Combining the mineral specific porosity found by the PMMA method with these distributions provided us with a 3D porosity distribution in the rock matrix.


2018 ◽  
Vol 559 ◽  
pp. 182-191 ◽  
Author(s):  
Urban Svensson ◽  
Martin Löfgren ◽  
Paolo Trinchero ◽  
Jan-Olof Selroos
Keyword(s):  

Author(s):  
Т.С. Хачкова ◽  
Я.В. Базайкин ◽  
В.В. Лисица

Представлен алгоритм построения персистентных диаграмм для оценки изменения топологии матрицы породы при взаимодействии с химически активным флюидом. В пространстве персистентных диаграмм вводится метрика, которая позволяет выполнять их кластеризацию для количественной оценки схожести изменений топологии порового пространства в процессе растворения матрицы породы. На основе такой кластеризации показано, что одним из доминирующих параметров в процессе химического взаимодействия флюида с породой в пластовых условиях являются скорость реакции и коэффициент диффузии, в то время как скорость потока оказывает существенно меньшее влияние. A new algorithm for constructing the persistence diagrams to estimate the changes in the rock matrix topology during the chemical fluid-solid interaction. In the space of the persistence diagrams, a metric is introduced, which allows one to clusterize the diagrams in order to estimate their dissimilarities in the topology changes. This clusterization shows that the main parameters affecting the topology of the rock matrix are the reaction rate and the diffusion coefficient, whereas the fluid flow rate makes a smaller effect on the topology.


1990 ◽  
Vol 212 ◽  
Author(s):  
Veijo O. Pirhonen ◽  
K. Front ◽  
P. Pitkänen

ABSTRACTThis paper addresses the problem of evaluation of radionuclide retardation in fractured rocks. Pore space around permeable fractures was examined by means of the fracture profiling technique which comprises porosity measurements and chemical analyses along the profiles perpendicular to the fracture surfaces.Scanning electron micrographs show that the examined interfaces contain microfractures and tube-like diffusion channels. These are most frequent within 2 - 4 cm from the surface of the examined fractures. Porosity and chemistry of these interfaces are fracture specific. It is possible that diffusion into the rock matrix is restricted into the interfaces around the permeable fractures.


Energies ◽  
2021 ◽  
Vol 14 (4) ◽  
pp. 1148
Author(s):  
Mohamed Elsafih ◽  
Mashhad Fahes ◽  
Catalin Teodoriu

Matrix acidizing is a highly successful, effective, and relatively inexpensive approach to enhancing well productivity in carbonate formations. Accordingly, there has been little motivation to address the ways to optimize the acid stimulation process better. Acid-in-oil emulsions that form during this process cause one of the most challenging problems that negatively impact the performance and deliverability, especially when these emulsions are highly stable over extended periods. Such stable emulsions can plug the flow path of oil causing high resistance to flow and potentially reducing well productivity. De-emulsifiers are some of the most widely used acid additives targeting the reduction of emulsion stability. However, there is doubt in the research community on whether there is enough shear mixing that can cause the formation of emulsions inside the rock matrix. Besides, the effectiveness of de-emulsifiers in eliminating such emulsions in the pore space has not been investigated. In the current oil price market, there is a need to be more vigilant regarding the cost of well stimulation and the added value from the various additives. While laboratory work on matrix acidizing in carbonate formations is abundant, the work on oil-saturated samples is rare, and therefore, the effect of emulsions on the acidizing process has not been widely documented. In this work, we present a stacked study of bottle tests and core flooding tests designed to investigate the de-emulsifiers’ role in the rock matrix. The results reveal that (1) emulsion-risk in the pore space is real, and (2) the addition of de-emulsifiers to the acid allows for efficient backflow of oil, revealing an improvement in the performance of the acidizing treatment.


1985 ◽  
Vol 25 (01) ◽  
pp. 9-13 ◽  
Author(s):  
Hans Joachim Dietzel ◽  
Gunter Pusch

Abstract To assess the dynamic stability of polymer slugs, flooding experiments have been performed in sandpacks and consolidated sandstone cores. The investigations have been carried out with a hydroxyethylcellulose (HEC) and a biopolysaccharide (BPS) (scleroglucane). Highly saline water (100 g/dm3 [0.2 lbm/L]) was used for the displacement tests, as well as for the preparation of the polymer solutions. preparation of the polymer solutions. From the eluate sampled during each flooding test, a concentration profile and a viscosity profile were recorded. A comparison between the two profiles gives an indication of the fraction of the polymer substance in the injected solution that does not contribute to the viscosity. From the recorded profiles, the influences of dispersion, adsorption/retention, and viscous fingering were established separately and quantitatively determined by means of material balances. Introduction In EOR, polymer slugs are used both for mobility control in the micellar/polymer process and for viscous flooding. To yield maximum success in polymer flooding - from a laboratory experimental, and not an economic, point of view - it is necessary that the mobility control effected by the polymer slug be maintained all the way from the injection well to the production wells. During its passage through the porous medium, the shape of the polymer slug, as indicated by the concentration profile, is altered and impaired as a result of interactions with the mobile phases and the rock matrix. phases and the rock matrix. In this paper, flooding experiments in linear models of porous media are described; the objective is to investigate the porous media are described; the objective is to investigate the stability of polymer slugs under dynamic conditions. The influence of the interactions that alter the slug has been determined separately and quantitatively established from these experiments. The fraction and distribution of the polymer substance in the injected solution that does not contribute to the viscosity is indicated too. Theory The action of a polymer slug is based on the adjustment of the mobility between the displaced phase and the displacing floodwater, 1 Hence, two transition zones characterize the mechanism of slug flooding:the transition from the displaced phase to the polymer slug andthe transition from the polymer slug to the polymer slug andthe transition from the polymer slug to the displacing floodwater. If the mobility ratio at the leading edge of the slug is decreased to values near unity by the polymer solution, the effect of viscous fingering is suppressed, and the displacement is piston-like. At the trailing edge of the slug, on the contrary, an unfavorable viscosity ratio prevails; consequently, floodwater penetrates into the slug as a result of viscous fingering. In addition to these purely dynamic effects, the interaction between the rock matrix and polymer solution also causes an alteration of the slug during the passage through the porous medium. This change is described in terms of longitudinal dispersion and adsorption/retention. The term "longitudinal dispersion" designates the effect of microscopic inhomogeneities in the porous medium; this effect leads to a broadening of the mixing zone between the miscible fluids beyond that caused by molecular diffusion. "Adsorption" is defined here according to the Langmuir isotherm, whereas "retention" also includes the effects of filtration and time dependence of the adsorption equilibrium. The alteration of the polymer slug during passage through a porous model can be described polymer slug during passage through a porous model can be described by means of a comparison between the concentration profile of the slug emerging from the porous medium and that of the injected slug. Since the rheological properties of the mobile phases are also of importance for appraising the transport phenomena in the pore space, it is expedient to consider the viscosity profiles in pore space, it is expedient to consider the viscosity profiles in addition to the concentration profiles. Fig. 1 shows the originally injected rectangular profile (dashed line) and the concentration or viscosity profile obtained from the eluate of the flood test. The deviation of the leading edge of the profile from the rectangular shape is characterized by two parameters:the displacement of the 50% value by an amount "d"; andthe inclination of the profile line by an angle,. The amount "d" is thereby a measure of the denudation of the leading zone by adsorption and retention, whereas the angle of inclination, is proportional to the influence of dispersion. The area denoted by "A/R, "the surface area corresponding to adsorption/retention, between the rectangular profile and the measured or extrapolated profile line is a measure of the polymer loss resulting from adsorption and retention. The effect of viscous fingering on the trailing edge is described in terms of the shift of the water breakthrough, "WD," from 1.0 PV after the start of waterflooding to lower values. The polymer initially delayed by viscous fingering is produced subsequently at lower concentration in the trailing edge but does not contribute to the viscosity of the displacing part of the slug. SPEJ P. 9


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