Theoretical and Experimental Studies of Sandstone Acidizing

1981 ◽  
Vol 21 (01) ◽  
pp. 30-42 ◽  
Author(s):  
A.D. Hill ◽  
D.M. Lindsay ◽  
I.H. Silberberg ◽  
R.S. Schechter

Abstract The matrix acidization of sandstone by a hydrochloric/hydrofluoric acid mixture is described through use of a capillary model. The model was solved first in linear coordinates so that it could be compared with the results of coreflood experiments performed on Berea sandstone. The model predictions showed reasonable agreement with the experimental data and yielded specific information about the reaction characteristics of the sandstone/HCl/HF system. The acidization model then was applied in radial coordinates to generate design curves for a matrix acidization treatment. While these curves strictly apply only to those sandstones having similar mineral compositions, the approach is general. It is based on matching the location of the HF reaction front to the depth of a damaged zone. This method introduces the concept of an optimum injection rate and, in this regard, differs from other design methods reported in the literature. Introduction The matrix acidization of sandstone by an HCl/HF acid mixture is an often-employed oilwell stimulation technique designed to increase permeability in a zone around the wellbore. The acid mixture flowing into the porous medium reacts with the various mineral species present, thus effecting an increase in the matrix porosity and, it is hoped, the permeability. Clearly, one of the factors controlling the depth of acid penetration is the chemical composition of the minerals which the acid contacts. Smith and Hendrickson,1 Gatewood,2 and Lund et al.3–5 have shown that the reaction with calcite is more rapid than with silicate minerals (clay or feldspar), which is, in turn, more rapid than the reaction with silica. Several papers describing the distance of penetration have been published. Smith and Hendrickson1 and Smith et al.6 first suggested the use of linear core tests to predict radial penetration. Farley et al.7 reported tests similar to those conducted by Smith and Hendrickson but measured many additional parameters including the effluent acid concentration, which is quite useful since the effluent concentrations may yield information about reaction characteristics. Experiments conducted in linear systems are difficult to translate in terms of penetration in a radial system, since the fluid velocity varies inversely with radial distance. The obvious approach has been to develop a mathematical model that can be calibrated based on linear flow data and then applied to a radial system. Gatewood2 proposed that the acid penetration distance be determined by assuming that the reaction of HF with the silicate minerals is much faster than with the silica. The distance of penetration is determined in this model by the formation composition and by the stoichiometry of the reactions. Lund et al.5,8 and Fogler and McCune9 developed a model which neglects the reaction of HF with silica but does consider the reactions with the silicate minerals. The advantage of these approaches is that the penetration depth can be predicted based on the formation composition. However, the reaction with silica cannot be neglected in determining the depth of penetration, as will be seen.

1929 ◽  
Vol 19 (4) ◽  
pp. 802-813 ◽  
Author(s):  
R. Hart

(1) The mineralogical composition of the fine sand fraction of certain soils from the south-east of Scotland is described.(2) The soils are shown to possess a fairly high content of silicate minerals in a comparatively fresh state.(3) The distribution and amount of potash, phosphate and lime-bearing minerals in the soils is discussed.(4) The soils can be grouped according to their mineral content and this grouping is found to depend on the geology of the parent material.(5) All the soils are formed on glacial drift and the results suggest that the local rocks have a preponderating influence on the composition of the matrix of the drift.


1999 ◽  
Author(s):  
Molefi Motuku ◽  
Gregg M. Janowski ◽  
Uday K. Vaidya

Abstract Low velocity impact response (LVIR) of glass reinforced polymer composites (GRPCs), which have the potential to self repair both micro- and macro-damage, has been investigated. This class of materials falls under the category of passive smart polymer composites. The self-repairing mechanism is achieved through the incorporation of hollow fibers in addition to the normal solid reinforcing fibers. The hollow fibers store the damage-repairing solution or chemicals that are released into the matrix or damaged zone upon fiber failure. Plain-weave S-2 glass fabric reinforcement, DERAKANE vinyl ester 411-C50 and EPON-862 epoxy resin systems were considered for this study. Different tubing materials were investigated for potential use for storing the repairing chemicals instead of the actual hollow repair-fibers and included borosilicate glass micro-capillary pipets, flint glass Pasteur pipets, copper tubing and aluminum tubing. Composite panels were fabricated by using vacuum assisted resin transfer molding (VARTM) process. The present investigation addressed fabrication of self-repairing composite panels, the processing quality, selection of storage material for the repairing solution and, release and transportation of repairing solution.


Author(s):  
Bin Wu ◽  
C. Steve Suh

Literature review shows that much effort has been given to model physical systems involving a large number of interacting constituents. As a network evolves its constituents (or nodes) and associated links would either increase or decrease or both. It is a challenge to extract the specifics that underlie the evolution of a network or indicate the addition and/or removal of links in time. Similarity-based algorithm, Maximum likelihood methods, and Probabilistic models are 3 mainstream methods for link prediction. Methods incorporating topological feature and node attribute are shown to be more effective than most strategies for link prediction. However, to improve prediction accuracy, an effective prediction strategy of practicality is still being sought that captures the characteristics fundamental to a complex system. Many link prediction algorithms have been developed that handle large networks of complexity. These algorithms usually assume that a network is static. They are also computationally inefficient. All these limitations inevitably lead to poor predictions. This paper addresses the link prediction problem by incorporating microscopic dynamics into the matrix factorization method to extract specific information from a time-evolving network with improved link prediction. Numerical experiments in applying static methods to temporal networks show that existing link prediction algorithms all demonstrate unsatisfactory performances in link prediction, thus suggesting that a new prediction algorithm viable for time-evolving networks is required.


2017 ◽  
Vol 832 ◽  
pp. 777-792 ◽  
Author(s):  
Shreyas Mandre

Guided by computation, we theoretically calculate the steady flow driven by the Marangoni stress due to a surfactant introduced on a fluid interface at a constant rate. Two separate extreme cases, where the surfactant dynamics is dominated by the adsorbed phase or the dissolved phase, are considered. We focus on the case where the size of the surfactant source is much smaller than the size of the fluid domain, and the resulting Marangoni stress overwhelms the viscous forces so that the flow is strongest in a boundary layer close to the interface. We derive the resulting flow in a region much larger than the surfactant source but smaller than the domain size by approximating it with a self-similar profile. The radially outward component of fluid velocity decays with the radial distance $r$ as $r^{-3/5}$ when the surfactant spreads in an adsorbed phase, and as $r^{-1}$ when it spreads in a dissolved phase. Universal flow profiles that are independent of the system parameters emerge in both the cases. Three hydrodynamic signatures are identified to distinguish between the two cases and verify the applicability of our analysis with successive stringent tests.


2011 ◽  
Vol 239-242 ◽  
pp. 2655-2658
Author(s):  
Heng Feng Li ◽  
Guo Wen He ◽  
Jun Li ◽  
Jun Chen ◽  
Jiang Cong Chen

A series of polyimide composites with various mass fractions of multi-walled carbon nanotubes (MWNTs) were prepared by in situ polymerization. MWNTs were treated with an acid mixture and sulfoxide chloride in turn to increase the chemical compatibility of carbon nanotubes with the polyimide matrix. The modified MWNTs are dispersed homogeneously in the matrix while the structure of the PI and MWNTs structures are stable in the preparation process. The composite films hold preferable thermal stability as same as the pure PI. The dielectric constants of the composites decreased with the increasing frequency and increase sharply with the adding of MWNTs.


2005 ◽  
Vol 15 (11) ◽  
pp. 1735-1777 ◽  
Author(s):  
ALESSANDRO BERTUZZI ◽  
ANTONIO FASANO ◽  
ALBERTO GANDOLFI

This work extends a previous model that described the evolution of a tumor cord (a cylindrical arrangement of tumor cells, generally surrounded by necrosis, growing around a blood vessel of the tumor) under the activity of cell killing agents. In the present model we include the most relevant aspects of the dynamics of extracellular fluid, by computing the longitudinal average of the radial fluid velocity and of the pressure field. We still assume that the volume fraction occupied by the cells always keeps the same constant value everywhere in the cord. The necrotic region is treated as a "fluid reservoir". To improve the modelling of therapeutic treatment, we have subdivided the viable cell population into a proliferating and a quiescent subpopulation. The transitions between the two states are both permitted, and are regulated by rates depending on the local oxygen concentration. For simplicity, the rates of death induced by treatment are assumed to be known functions of the radial distance and time. Existence and uniqueness of the stationary state in the absence of treatment has been shown, as well as the existence and uniqueness of the evolution that arises following a cell killing treatment.


2006 ◽  
Vol 129 (3) ◽  
pp. 324-329 ◽  
Author(s):  
Wen Wang

The endothelial glycocalyx mediates interactions between the blood flow and the endothelium. This study aims to evaluate, quantitatively, effects of structural change of the glycocalyx on stress distribution and shear rate on endothelial cells. In the study, the endothelial glycocalyx is modeled as a surface layer of fiber matrix and when exposed to laminar shear flow, the matrix deforms. Fluid velocity and stress distribution inside the matrix and on cell membranes are studied based on a binary mixture theory. Parameters, such as the height and porosity of the matrix and the drag coefficient between fluid and matrix fibrils, are based on available data and estimation from experiments. Simple theoretical solutions are achieved for fluid velocity and stress distribution in the surface matrix. Degradation of the matrix, e.g., by enzyme digestion, is represented by reductions in the volume fraction of fibrils, height, and drag coefficient. From a force balance, total stress on endothelial surface remains constant regardless of structural alteration of the glycocalyx. However, the stress that is transmitted to endothelial cells by direct “pulling” of fiber branches of the glycocalyx is reduced significantly. Fluid shear rate at the cell membrane, on the other hand, increases. The study gives quantitative insight into the effect of the structural change of the glycocalyx on the shear rate and pulling stress on the endothelium. Results can be used to interpret experiments on effects of the glycocalyx in shear induced endothelial responses.


Author(s):  
Mehaysen Al-Mahasneh ◽  
Said Al Rabadi ◽  
Hussam Khaswaneh

AbstractThe acidizing approach belongs to the well workover operations, where acid mixtures are initially implemented to treat damage near the wellbore area after drilling operations have been completed. Acidizing treatment is characterized by removal of fine particles and debris from the porous media of the damaged zone, hence leading to improve oil production from wells. This study evaluates the assessment of the acidizing treatment in vertical oil-producing wells. Gradually, the damage formation was reduced and then eliminated, and to a great extent, was compensated with the better performance of oil production from reservoirs. Target candidate wells were enriched by environmentally friendly additives and special chemicals, in predefined amounts, to achieve enhanced oil production rates from wells. A semi-analytical model was formulated for extrapolating the skin magnitude, depending on the damage formation’s permeability parameter as well as on the physical characteristics and reservoir depth. The figures of skin magnitude for all target wells were decreased, and oil production rates were enhanced after performing the matrix acidizing process. These findings are valid for diverse geological settings of different formations, as all treated intervals within the investigated wells have shown an objective response to the matrix acidizing approach. Eventually, productivity rates are imperative to increase potential economic outcomes.


Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 1008
Author(s):  
Jian Feng ◽  
Changtong Li ◽  
Yixiang Xu ◽  
Qian Zhang ◽  
Fang Wang ◽  
...  

In recent years, the topic of progressive structural collapse has received more attention around the world, and the study of element importance is the key to studying progressive collapse resistance. However, there are many elements in truss structures, making it difficult to predict their importance. The global stiffness matrix contains the specific information of the structure and singularity of the matrix can reflect the safety status of the structure, so it is useful to evaluate the key elements based on the global stiffness matrix for truss structures. In this paper, according to the tangent stiffness-based method for the element importance, the square pyramid grid was chosen as an example, and the distribution rules of key elements under different support conditions, stiffness distributions, and geometric parameters were studied. Then, three common symmetric grid forms, i.e., diagonal square pyramid grids, biorthogonal lattice grids, and biorthogonal diagonal lattice grids, were selected to investigate their importance indices of elements. The principle in this work can be utilized in progressive collapse analysis and safety assessment for spatial truss structures.


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