Growth of Calcite in Confinement

Li, Lei; Köhler, Felix; Røyne, Anja; Dysthe, Dag Kristian

doi:10.3390/cryst7120361

Cited by 17 publications

(45 citation statements)

References 21 publications

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“…Using again D ∼ 10 −9 m 2 s −1 and h ∼ 100nm and assuming the smallest kinetic constant reported ν = 10 −7 ms −1 [15], we obtain l 0 ∼ 30µm. This value is comparable to the crystal sizes used in experiments [7,12].…”

Section: J S G F E B / F H J 6 R G a = = < / L A T E X I T > < L A T supporting

confidence: 77%

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Confined growth with slow surface kinetics: A thin film model approach

Gagliardi

Pierre-Louis

2019

Journal of Crystal Growth

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Recent experimental and theoretical investigations of crystal growth from solution in the vicinity of an impermeable wall have shown that: (i) growth can be maintained within the contact region when a liquid film is present between the crystal and the substrate; (ii) a cavity can form in the center of the contact region due to insufficient supply of mass through the liquid film. Here, we investigate the influence of surface kinetics on these phenomena using a thin film model. First, we determine the growth rate within the confined region in the absence of a cavity. Growth within the contact induces a drift of the crystal away from the substrate. Our results suggest novel strategies to measure surface kinetic coefficients based on the observation of this drift. For the specific case where growth is controlled by surface kinetics outside the contact, we show that the total displacement of the crystal due to the growth in the contact is finite. As a consequence, the growth shape approaches asymptotically the free growth shape truncated by a plane passing through the center of the crystal. Second, we investigate the conditions under which a cavity forms. The critical supersaturation above which the cavity forms is found to be larger for slower surface kinetics. In addition, the critical supersaturation decays as a power law of the contact size. The asymptotic value of the critical supersaturation and the exponent of the decay are found to be different for attractive and repulsive disjoining pressures. Finally, our previous representation of the transition within a morphology diagram appears to be uninformative in the limit of slow surface kinetics. Crystal SUBSTRATE Crystal F z < l a t e x i t s h a 1 _ b a s e 6 4 = " P L S e 1 5 N D 2 W B x m S b u H F 6 1 A r 2 L P W o = " > A A A B 9 X i c b V D L S g N B E O z 1 G e M r 6 t H L Y B A 8 h V 0 R 9 C Q B Q T x G N A 9 I l j A 7 6 c Q h s w 9 m e p W 4 5 B O 8 6 s m b e P V 7 P P g v 7 q 5 7 0 M Q 6 F V X d d H V 5 k Z K G b P v T W l h c W l 5 Z L a 2 V 1 z c 2 t 7 Y r O 7 s t E 8 Z a Y F O E K t Q d j x t U M s A m S V L Y i T R y 3 1 P Y 9 s Y X m d + + R 2 1 k G N z S J E L X 5 6 N A D q X g l E o 3 l / 3 H f q V q 1 + w c b J 4 4 B a l C g U a / 8 t U b h C L 2 M S C h u D F d x 4 7 I T b g m K R R O y 7 3 Y Y M T F m I + w m 9 K A + 2 j c J I 8 6 Z Y e x 4 R S y C D W T i u U i / t 5 I u G / M x P f S S Z / T n Z n 1 M v E / r x v T 8 M x N Z B D F h I H I D p F U m B 8 y Q s u 0 A 2 Q D q Z G I Z 8 m R y Y A J r j k R a s m 4 E K k Y p 6 W U 0 z 6 c 2 e / n S e u 4 5 t g 1 5 / q k W j 8 v m i n B P h z A E T h w C n W 4 g g Y 0 Q c A I n u A Z X q w H 6 9 V 6 s 9 5 / R h e s Y m c P / s D 6 + A b U e J I 4 < / l a t e x i t > < l a t e x i t s h a 1 _ b a s e 6 4 = " P L S e 1 5 N D 2 W B x m S b u H F 6 1 A r 2 L P W o = " > A A A B 9 X i c b V D L S g N B E O z 1 G e M r 6 t H L Y B A 8 h V 0 R 9 C Q B Q T x G N A 9 I l j A 7 6 c Q h s w 9 m e p W 4 5 B O 8 6 s m b e P V 7 P P g v 7 q 5 7 0 Ma s m 4 E K k Y p 6 W U 0 z 6 c 2 e / n S e u 4 5 t g 1 5 / q k W ...

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Section: J S G F E B / F H J 6 R G a = = < / L A T E X I T > < L A T supporting

confidence: 77%

“…Equations (11) and (12) are solved in normalized units. We start defining a dimensionless repulsion strengthĀ = A/(γh) for the repulsive interaction eq.…”

Section: Normalization Of Model Equationsmentioning

confidence: 99%

Confined growth with slow surface kinetics: A thin film model approach

Gagliardi

Pierre-Louis

2019

Journal of Crystal Growth

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“…Importantly, as a result of DLVO and hydration forces, a disjoining pressure (Π) prevents direct contact of the two surfaces under an applied normal stress σ n (Israelachvili, 2011). The effective normal stress σ ′ n acting on the two surfaces σ ′ n ¼ σ n −P f À ) is thus balanced by the disjoining pressure in the confined fluid film, Π(D) (Li et al, 2017). According to a recent molecular dynamics (MD) simulation study, the confined fluid film can sustain normal stresses much higher than~1 GPa (Brekke-Svaland & Bresme, 2018), which is the maximum value applied here.…”

Section: Hydration Force and Pull-off Force Measurementsmentioning

confidence: 92%

Effect of Fluid Chemistry on the Interfacial Composition, Adhesion, and Frictional Response of Calcite Single Crystals—Implications for Injection‐Induced Seismicity

Diao

Espinosa‐Marzal

2019

JGR Solid Earth

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While it has been shown that the mechanical properties and the reactivity of carbonate‐bearing rocks may be influenced by the chemical composition of the fluids, little is known about how the fluid composition affects their frictional response. Here, we have used atomic force microscopy to investigate the frictional characteristics of single calcite crystals in calcium carbonate saturated solutions and in two brines, NaCl and CaCl2, at a wide range of geologically relevant concentrations. Surface forces were measured to determine the ion‐specific composition of the confined fluid films and the adhesion between the confining surfaces. The effect of fluid chemistry on calcite's (dynamic) frictional response significantly depends on the normal stress. At low stresses, the confined fluid film lubricates the single‐asperity contact efficiently, resulting in low friction coefficients, especially in the case of NaCl solutions. When the pressure solution of calcite is triggered at sufficiently high stress, a significant reduction of the friction coefficient was observed, and in this case, CaCl2 solutions were shown to promote this frictional weakening more significantly than NaCl. This is the first experimental investigation of the ion‐specific frictional characteristics of calcite at the level of a single‐asperity contact. The presence of infiltrated fluids in carbonate faults may also play a critical role in fault dynamics. Hence, the results of this nanoscale study are extrapolated to carbonate fault friction in the presence of infiltrated fluids, and they contribute to advance our understanding of induced seismicity at geological scale.

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“…In later stages, the cavity expands and gives rise to a rim along the edge of the contact. Such rims have been observed in many previous experiments [10][11][12][13] focusing on the crystallization force produced by the growth process [8,[14][15][16], which is known to have important consequences for deformation and fracturing of rocks, and the weathering of building materials [17,18]. However, here we wish to focus on the case where external forces are small, which correspond for example to the experiments of [9], where the crystal was only weakly maintained against the substrate due to its own weight.…”

Section: Introductionmentioning

confidence: 87%

“…We consider a system with a confinement geometry similar to that of the experiments in [9,12]: a growing crystal is separated from a flat, impermeable and inert substrate by a thin film of solution. However, here, the film thickness is assumed to be of the order of nanometers.…”

Section: Model and Methodsmentioning

confidence: 99%

Crystal growth in nano-confinement: subcritical cavity formation and viscosity effects

Gagliardi

Pierre-Louis

2018

New J. Phys.

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We report on the modeling of the formation of a cavity at the surface of crystals confined by a flat wall during growth in solution. Using a continuum thin film model, we discuss two phenomena that could be observed when decreasing the thickness of the liquid film between the crystal and the wall down to the nanoscale. First, in the presence of an attractive van der Waals contribution to the disjoining pressure, the formation of the cavity becomes subcritical, i.e., discontinuous. In addition, there is a minimum supersaturation required to form a cavity. Second, when the thickness of the liquid film between the crystal and the substrate reaches the nanoscale, viscosity becomes relevant and hinders the formation of the cavity. We demonstrate that there is a critical value of the viscosity above which no cavity will form. The critical viscosity increases as the square of the thickness of the liquid film. A quantitative discussion of model materials such as calcite, sodium chlorate, glucose and sucrose is provided.

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Growth of Calcite in Confinement

Cited by 17 publications

References 21 publications

Confined growth with slow surface kinetics: A thin film model approach

Confined growth with slow surface kinetics: A thin film model approach

Effect of Fluid Chemistry on the Interfacial Composition, Adhesion, and Frictional Response of Calcite Single Crystals—Implications for Injection‐Induced Seismicity

Crystal growth in nano-confinement: subcritical cavity formation and viscosity effects

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