The testing procedure and results on saturated samples of Opalinus Clay in the work of Schuster et al. (Rock Mech Rock Eng https://doi.org/10.1007/s00603-021-02474-3, 2021) were conducted and presented using strain rates two to four orders of magnitudes higher than the rates needed to allow pore pressure equilibrium in the material, both in drained and undrained conditions. This leads to an erroneous estimation of the mechanical properties in saturated conditions. We discuss this aspect in the context of shale testing. We also discuss the effect of drying-induced fissuring on the mechanical properties of geomaterials tested in dry conditions.
Shales are geomaterials that share features of soft rocks (e.g. relatively high strength and stiffness and low porosity compared to clays) and features of overconsolidated clays (e.g. low permeability). As such, the presence of the pore water, the degree of saturation and the pore pressure generation during mechanical load assume crucial importance. Sound testing procedures for shale have been built in recent years. In this note, we examine the recent results on wet samples by Schuster et al. (2021) (Sects. 3.1.1, 3.1.5), we discuss the inhomogeneous pore pressure generation, in both drained and undrained shearing conditions, and its potential impact on the obtained mechanical properties, and the potential effect of drying-induced fissuring on the mechanical properties of samples (Sects. 2.1, 3.1.2).
2 Pore Pressure Generation
Saturating and testing low porosity and low permeability geomaterials can be challenging and time-consuming. An efficient way to do this has been demonstrated to be by applying sufficient stress to the sample to negate the capillary tension and bring the pore pressure up to a positive value (Ewy 2018; Horsrud et al. 1998; Steiger and Leung 1991). Ewy (2018) presented examples of this approach and illustrated how pre-conditioning samples to high relative humidity (RH) make this a convenient method for shale testing. Giger et al. (2018) and Minardi et al. (2019, 2020) successfully adopted this procedure for Opalinus Clay (sandy and shaly facies). The same technique was applied by Schuster et al. (2021) to test wet samples of Opalinus Clay.
By applying confining stresses in the order of tens of MPa to pre-conditioned shale samples (with RH > 90%), positive pore pressure, in the order of several MPa is developed (Ewy 2018; Giger et al. 2018; Minardi et al. 2020). For the saturated samples in the work of Schuster et al. (2021) non-negligible pore overpressures must have been developed as isotropic confining pressure of 50 MPa was applied.
Furthermore, during the shearing phase, the effective stress paths that the samples experienced would strongly depend on the pore pressure developed at the end of the isotropic compression, and its evolution throughout the deviatoric loading: the peak strength for each sample should be evaluated by considering the achieved effective confinement. The pore overpressure generated during shearing is driven by the sample anisotropy (Minardi et al. 2020), composition and porosity (Crisci et al. 2021; Minardi et al. 2019), significantly altering the effective stress at peak deviatoric stress: P-samples develop lower pore pressure during shearing, i.e. higher mean effective stress, with respect to S-samples. In Schuster et al. (2021), while comparing the results between P- and S-samples in terms of total confining stress, the two seem to show a remarkable difference in terms of peak strength, while the discrepancy is reduced when effective stress is considered.
Data from Minardi et al. (2020) showed that the failure envelope for P-samples had an intercept about 70% higher than the S-samples, while the shear strength angle remains substantially unchanged. Results on Opalinus Clay samples sourced from deep boreholes, and including a wide range of compositions, showed a similar trend (Crisci et al. 2020).
3 Strain Rate
The strain rate at which a sample is sheared impacts the pore water redistribution and pressure generation (Head and Epps 2014; Giger et al. 2018). Measurements of the pore pressure evolution would allow computing the effective stress path during each test. Analysing the results in terms of effective stress allows reconciling the apparent differences among samples tested in undrained conditions.
For a saturated sample, the consolidation coefficient derived from isotropic loading can be used to estimate the appropriate strain rate to apply in drained or undrained conditions. In both cases, the choice of the strain rate has to ensure that the pore pressure is homogenous within the sample, either homogeneously increasing within the specimen (undrained) or in equilibrium with the imposed boundary condition (drained).
In the work of Giger et al. (2018), it is shown that for undrained testing, a strain rate one order of magnitude greater than the one theoretically appropriate for pore pressure equilibration led to an apparent strength increase of 15–20%. A strain rate two orders of magnitude faster caused an overestimation of shear strength of 40% and Poisson’s ratio underestimation of 70%.
When an inappropriately fast strain rate is applied, pore pressure is generated non-homogenously within the sample (i.e. the pore pressure increment may be localized). The resulting mechanical parameters are therefore due to the effect of a non-homogenous effective stress field within the sample, which may depend also on its specific structure. The so-obtained parameters cannot be considered as representative of the geomaterial properties.
A consolidation coefficient of 0.002 mm2/s is reported in Schuster et al. (2021), which is broadly in line with measurements on Opalinus Clay obtained in oedometric or triaxial conditions in other works (Crisci et al. 2019; Ferrari et al. 2016; Minardi et al. 2019). Computing the strain rate for drained and undrained shearing (Head and Epps 2014), values in the order of magnitude 10–8 1/s and 10–7 1/s would be obtained, respectively. The most suitable rates depend on the sample dimensions and drainage (e.g. radial drainage, at the ends of the specimen). These rates are two to four orders of magnitudes slower than those adopted for saturated samples in drained and undrained conditions in Schuster et al. (2021). In Schuster et al. (2021) the use of an inappropriately fast strain rate is mentioned for drained tests; however, also the undrained results have to be considered as strongly dependent on the incorrect strain rate adopted and the consequent inhomogeneous pore pressure development.
In addition, the works of Favero et al. (2018), Giger et al. (2018), and Minardi et al. (2019, 2020) show consistency between the drained and undrained results once the appropriate strain rates are adopted: analysing the results in terms of effective stress, it is clear that failure envelope is single for each geomaterial, independently from the drainage conditions used for testing. This is in line with the expected response for overconsolidated clays.
4 Sample Preparation
Except for the wet samples, in Schuster et al. (2021), samples were dried before mechanical testing. Sample drying causes shrinkage deformation and eventually cracking. This phenomenon is known in clays, but also shales and claystone (Ewy 2014; Minardi et al. 2016; Pham et al. 2007). Fissures will most likely appear along bedding planes, compromising their cementation. In Z-samples, this can result in a loss of strength, which would be shown by limited peak-to-post-peak strength reduction: the shear strength along the failure surface, sub-parallel to the bedding direction in Z-samples, will be solely governed by the friction developed on the surface, which decreases with the increase in shear strains. The limited post-peak strength reduction observed in Schuster et al. (2021) may be profoundly affected by the drying-induced cracking.
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Crisci, E., Ferrari, A. & Laloui, L. Discussion on “Experimental Deformation of Opalinus Clay at Elevated Temperature and Pressure Conditions: Mechanical Properties and the Influence of Rock Fabric” of Schuster, V., Rybacki, E., Bonnelye, A., Herrmann, J., Schleicher, A.M., Dresen, G.. Rock Mech Rock Eng 55, 463–465 (2022). https://doi.org/10.1007/s00603-021-02654-1
- Clay rock
- Opalinus Clay
- Testing procedure
- Pore pressure generation
- Strain rate
- Rate-dependent mechanical behaviour
- Desiccation cracks