Scaling behavior of the elastic properties of colloidal gels

Shih, Wei‐Heng; Kim, Seong Il; Li, Jun; Aksay, İlhan A.

doi:10.1103/physreva.42.4772

Cited by 809 publications

(919 citation statements)

References 18 publications

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“…15, 16). This power law behavior was also reported by Shih et al (1990) with boehmite alumina gels. The authors considered the structure of a gel as a collection of flocs, which are fractal objects closely packed throughout the sample.…”

Section: /T (1/k) Ln T Gel (Min)supporting

confidence: 62%

Phase behavior and rheological characterization of silica nanoparticle gel

2012

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Preferential injection into high permeability thief zones or fractures can result in early breakthrough at production wells and large unswept areas of high oil saturation, which impact the economic life of a well. A variety of conformance control techniques, including polymer and silica gel treatments, have been designed to block flow through the swept zones. Over a certain range of salinities, silica nanoparticle suspensions form a gel in bulk phase behavior tests. These gels have potential for in situ flow diversion, but in situ flow tests are required to determine their applicability. To determine the appropriate scope of the in situ tests, it is necessary to obtain an accurate description of nanoparticle phase behavior and gel rheology. In this paper, the equilibrium phase behavior of silica nanoparticle solutions in the presence of sodium chloride (NaCl) is presented with four phase regions classified as a function of salinity and nanoparticle concentration. Once the gelation window was clearly defined, rheology experiments of silica nanoparticle gels were also carried out. Gelation time decreases exponentially as a function of silica concentration, salinity, and temperature. Following a power law behavior, the storage modulus, G 0 , increases with particle concentration. Steady shear measurements show that silica nanoparticle gels exhibit nonNewtonian, shear thinning behavior. This comprehensive study of the silica nanoparticle gels has provided a clear path forward for in situ tests to determine the gel's applicability for conformance control operations.

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Section: /T (1/k) Ln T Gel (Min)supporting

confidence: 62%

Phase behavior and rheological characterization of silica nanoparticle gel

2012

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“…It has been rejected by experimental studies in many materials such as disordered fiber networks [60], granular solids, and particulate packings [61]. However, in some materials the error associated to ILS is found to be sufficiently low so it can be adopted [4,5,28,[62][63][64][65][66][67]. Our recent studies show that the ILS assumption is relevant only in certain binary composites and the error associated to it varies based on the aggregation process [42,68].…”

Section: B Strain Energymentioning

confidence: 99%

“…One stress path, often the shortest one, transfers the most of the applied load [13]. This stress path is called the backbone chain [5].…”

Section: Introductionmentioning

confidence: 99%

“…In 1990, Shih et al [5] introduced the concept of the effective backbone (BB) chain to explain the stress propagation inside the isolated clusters. Several models have been developed to calculate the energy of the backbone chain [14,15] by representing the chain by a set of thin elastic rods [16] or using the concept of nodes-links-blobs chains [17,18].…”

Section: Introductionmentioning

confidence: 99%

“…At low particle concentrations, scaling and microstructural models have advanced to describe the rheological [3][4][5] and mechanical properties [6][7][8] of PC structures. At high particle concentrations, complicated scaling approaches are developed to account for inelastic features that appear [9,10].…”

Section: Introductionmentioning

confidence: 99%

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Micromechanical model for isolated polymer-colloid clusters under tension

et al. 2016

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Binary polymer-colloid (PC) composites form the majority of biological load-bearing materials. Due to the abundance of the polymer and particles, and their simple aggregation process, PC clusters are used broadly by nature to create biomaterials with a variety of functions. However, our understanding of the mechanical features of the clusters and their load transfer mechanism is limited. Our main focus in this paper is the elastic behavior of close-packed PC clusters formed in the presence of polymer linkers. Therefore, a micromechanical model is proposed to predict the constitutive behavior of isolated polymer-colloid clusters under tension. The mechanical response of a cluster is considered to be governed by a backbone chain, which is the stress path that transfers most of the applied load. The developed model can reproduce the mean behavior of the clusters and is not dependent on their local geometry. The model utilizes four geometrical parameters for defining six shape descriptor functions which can affect the geometrical change of the clusters in the course of deformation. The predictions of the model are benchmarked against an extensive set of simulations by coarse-grained-Brownian dynamics, where clusters with different shapes and sizes were considered. The model exhibits good agreement with these simulations, which, besides its relative simplicity, makes the model an excellent add-on module for implementation into multiscale models of nanocomposites.

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Measurement of Gel Rheology: Dynamic Tests

Ikeda

Foegeding

2003

Current Protocols in Food Analytical Chemistry

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This unit describes dynamic methods for monitoring the gelation process of protein dispersions and for determining rheological properties of the final gels. In a dynamic test, a test material is subjected to a controlled oscillation, the frequency of which determines the rate of deformation of the sample. The magnitude of deformation is kept very small to prevent destruction of gel structures during measurement. Two basic parameters reflecting elastic (G′; storage modulus) and viscous (G″; loss modulus) components of rheological properties are obtained at various frequencies. This frequency range will depend on the sample type and the purpose of the study (see Critical Parameters and Troubleshooting). The measuring instruments are operated by computers and the experimental procedure is simple. UNIT H3.1 discusses much of the theory behind dynamic rheometer tests. MaterialsSample protein solution or gel Chemical substance to induce gelation, if needed Immiscible reagent for preventing solvent evaporation (e.g., mineral or silicone oil), if needed Dynamic rotational rheometer with appropriate test fixture Computer with software package to control rheometer 1. Attach an appropriate test fixture to a dynamic rotational rheometer and connect rheometer inline with a computer.The appropriate text fixture type (or geometry) and size depend on the substance that is being analyzed. UNIT H1.2 includes a discussion on choosing a geometry. The amount of sample needed will depend on the rheometer and test fixture that are used. Ideally, there should not be excess sample (e.g., below or above the inner cylinder or outside the upper plate). Usually, sample below or above the inner cylinder does not contribute significantly to the results because of its smaller contact area compared with that of the wall of the cylinder. For steady rotational viscometry, it is often critical to cut the sample outside the upper plate. Thus it is also recommended to do so in dynamic tests. Changes in sample volume that often occur during gelation must also be considered.2a. For a gel induced by a chemical substance: Mix a sample protein solution with a chemical substance to induce gelation, place the mixture in the test fixture, and cover it with an immiscible reagent.The chemical substance required to induce gelation, as well as the concentrations of chemical and protein, will need to be determined empirically.2b. For a gel induced by heating: Place a sample protein solution in the fixture, cover it with an immiscible reagent, and use the computer to apply the appropriate temperature to the fixture for an appropriate length of time.The time and temperature of the incubation, as well as the protein concentration, will need to be determined empirically. Depednding on the purpose of the study, a temperature ramp or constant temperature can be used here and in steps 3 to 5.2c. For a preformed gel: Place a sample gel in the fixture and cover it with an immiscible reagent, if necessary. Continue with step 4.3. Set the computer to display G′ and G″. Moni...

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Scaling behavior of the elastic properties of colloidal gels

Cited by 809 publications

References 18 publications

Phase behavior and rheological characterization of silica nanoparticle gel

Phase behavior and rheological characterization of silica nanoparticle gel

Micromechanical model for isolated polymer-colloid clusters under tension

Measurement of Gel Rheology: Dynamic Tests

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