A geometrical model for numerical simulation of capillary imbibition in sedimentary rocks

Hammecker, Claude; Mertz, Jean‐Didier; Fischer, Christian; Jeannette, Daniel

doi:10.1007/bf00616976

Cited by 66 publications

(33 citation statements)

References 14 publications

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“…Based on the LW equation, some theoretical models considered the geometrical shape of capillaries (Hammecker et al 1993;Leventis et al 2000;Hammecker et al 2004). However, the effect of tortuosity on imbibition path was not taken into account, and the results sometimes were not consistent with experimental results.…”

Section: Introductionmentioning

confidence: 99%

A Discussion of the Effect of Tortuosity on the Capillary Imbibition in Porous Media

2011

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In the past decades, there was considerable controversy over the LucasWashburn (LW) equation widely applied in capillary imbibition kinetics. Many experimental results showed that the time exponent of the LW equation is less than 0.5. Based on the tortuous capillary model and fractal geometry, the effect of tortuosity on the capillary imbibition in wetting porous media is discussed in this article. The average height growth of wetting liquid in porous media driven by capillary force following the L s (t) ∼ t 1/2D T law is obtained (here D T is the fractal dimension for tortuosity, which represents the heterogeneity of flow in porous media). The LW law turns out to be the special case when the straight capillary tube (D T = 1) is assumed. The predictions by the present model for the time exponent for capillary imbibition in porous media are compared with available experimental data, and the present model can reproduce approximately the global trend of variation of the time exponent with porosity changing.

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Section: Introductionmentioning

confidence: 99%

A Discussion of the Effect of Tortuosity on the Capillary Imbibition in Porous Media

2011

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“…In both cases, the proposed methods modify the porous network, whether by a reduction of the wettability in order to restrain the capillary transfer (Snethlage 1983;Fischer 1993), or by the introduction of new cements sealing porous voids .…”

Section: Resultsmentioning

confidence: 98%

Importance of the Pore Structures During the Weathering Process of Stones in Monuments

Jeannette¹

1997

Soils and Sediments

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After World War II, salvaging monuments which were dama~d or even demolished by bombing, justified urgent restoration treatments using techniques that did not always respect the usual constraints for this kind of work. Afterwards, it was decided by those in charge of the monuments to instigate new restoration works which took into greater account the conservation or «preservation» aspect of the monuments. At the same time, research was undertaken to determine the origin of all types of degradation observed in stone monuments, even those not destroyed during the war. The magnitude of the degradation and the rapidity of its development, even on recently restored monuments, needed a broad study to be carried out to investigate the causes of degradation and, if possible, to suggest ways for its limitation. It was hoped that the results ofthis research would lead to the immediate improvement of the current standards of restoration. This was also the period when many monuments and buildings were extensively cleaned. However, the real benefit of this type of «cleaning» was also questioned, especially because of the abrasion of the often protective calcite crust. Also questioned was the use of replacement stones that were more resistant than the original building stones.It was in this context that studies were carried out on the cathedral of Strasbourg which, in contrast to the majority of French monuments, is constructed in a sandstone lacking in carbonate minerals. Very rapidly it could be established that this sandstone underwent the same alterations as other stones of different chemical and mineralogical compositions. If the erosion caused by frost was well advanced, given the richness of clay in this sandstone, the mechanisms for development of other forms of alteration could lead to the presence of salts and, in particular, to gypsum. All of this had not previously been established due to the difficulty of determining the original constituents of these minerals in the sandstones.The work undertaken on the cathedral of Strasbourg for the last fifteen years has enabled a more precise distinction of the nature of all major forms of degradation observed. It has also favoured the use, in restoration, of sandstone more resistant to alteration than the original stones. This way of restoration has not been reviewed for number of years, but the initial results or outcomes for the stones used during this period, will be the basis for another research. H. Paquet et al., Soils and Sediments

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“…However, it has been found that the x-t relationship predicted by the L-W equation with simple assumptions (e.g., a constant, realistic r and a constant θ) does not agree well with measured, experimental data (Dullien et al 1977;Hammecker et al 1993). Methods to improve the L-W equation involving change in contact angle (Einset 1996;Siebold et al 2000;Heshmati and Piri 2014), non-uniformity of pore radius (Dullien et al 1977;Erickson et al 2002), tortuosity of pores (Benavente et al 2002;Cai et al 2014), non-circularity of the cross section of pores (Benavente et al 2002;Cai et al 2014), and inertial effect and pore wall roughness especially at the earliest stage of capillary rise (Szekely et al 1971) have been discussed.…”

Section: Introductionmentioning

confidence: 99%

An experimental study on the rate and mechanism of capillary rise in sandstone

Tsunazawa

Yokoyama

Nishiyama

2016

Prog. in Earth and Planet. Sci.

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The Lucas-Washburn equation is a fundamental expression used to describe capillary rise in geologic media on the basis of pore radius, liquid viscosity, surface tension, contact angle, and time. It is known that a radius value significantly smaller than the main pore radius must be used in the equation in order for the predictions to fit the experimentally measured values. To evaluate this gap between theoretical predictions and experimental data, we conducted several capillary rise experiments using Berea sandstone. First, to investigate conditions in which pores of any size are available for capillary rise, an experiment was conducted using a dried core. Next, to adjust the size distribution of pore water before the capillary rise, gas pressure was applied to a water-saturated core and water was expelled from pores of r > 10 μm; then, capillary rise was initiated. Under this condition, capillary rise occurred only in the pores of r > 10 μm. The same experiment was conducted for r = 3, 1, and 0.36 μm. When narrower pores were made available for capillary rise, the overall rate of rise decreased and approached the rate observed when the sample was dry initially. This observation suggests that the capillary rise in narrow pores plays a significant role in the overall rate. Based on these results, we propose a conceptual capillary rise model that considers differing radii in branched pores and provide an example of a quantitative description of capillary rise.

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A geometrical model for numerical simulation of capillary imbibition in sedimentary rocks

Cited by 66 publications

References 14 publications

A Discussion of the Effect of Tortuosity on the Capillary Imbibition in Porous Media

A Discussion of the Effect of Tortuosity on the Capillary Imbibition in Porous Media

Importance of the Pore Structures During the Weathering Process of Stones in Monuments

An experimental study on the rate and mechanism of capillary rise in sandstone

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