Microcracks in rock, also known as microfractures and cracks,[1] are spaces in rock with the longest length of 1000 μm and the other two dimensions of 10 μm. In general, the ratio of width to length of microcracks is between 10−3 to 10−5.
Due to the scale, microcracks are observed using microscope to obtain their basic characteristics.[2] Microcrack formation provides insights into the strength and deformation behavior of rocks.[3] Experimental and numerical results both play an important role in studying microcracks, especially their kinematics and dynamics. Microcracks in rock have been studied to understand geologic problems such as the early stage of earthquakes and fault formation. In engineering, microcracks in rock have been linked to underground engineering problems, such as deep geological repository.
In general, microcracks in rock can be subdivided into four groups:
The characteristics of microcracks are orientation, length, width, aspect ratio, number, and density. These characteristics have been tried to be explained by mathematical functions. For example, distribution of microcrack lengths away from the fault has been described by lognormal or exponential distributions.
The orientations of microcracks are random in unstressed rock. Once a rock has been stressed, the microcracks will have a trend of orientations more or less parallel to the maximum applied stress or the fault strike. For example, the average orientation of microcracks of stressed Westerly granite is 30° to the fault strike.
In a thin section, the observed length and width may not necessarily be the true length and width of a microcrack in three dimensions.[5] The aspect ratio is the ratio of width to length. It is generally10−3 to 10−5. The crack length increases with increasing maximum applied stress, resulting in a decrease in the aspect ratio.
Density of microcracks can be either the number of microcracks per unit area or per grain or the microcrack length per unit area.[6] Densities of microcracks near a fault are dramatically high, but they decrease rapidly within a few mineral grains away from a fault.
Microcracks in rock can be induced by the applied stress or temperature.
A microcrack is formed when the stresses exceed the local strength of grains. The strength of materials is the ability to resist an applied load so that failure will not occur.[7] The intrinsic properties of rock such as mineralogical heterogeneity give diverse types of mechanically induced microcracking. The following mechanisms have strong correlations to the locations that allow stress concentration in grain-scale.
Thermally induced microcracking refers to microcrack formation due to thermal effects. Heating or cooling can cause thermal expansion or contraction between grains, respectively. Minerals with different thermo-elastic properties have different reactions to cooling or heating, resulting in microcrack formation. Also, thermal gradients at internal boundaries of grains may also allow stress concentration, thus forming microcracks.
The evolution of microcracks has been studied through experiment.[8] When force is applied to a rock sample, microcracks initially form randomly in space. They then become more and more localized and intense with continuous loading. This phenomenon is called the crack localization. A theory of failure helps to explain the evolution of microcracks with increased loading:[9]
After failure, the overall microcrack density increases near the fault and decreases rapidly away from the fault. In addition, the density of transgranular cracks increases near the fault, whereas the density of grain boundary cracks is lower. Connecting locally dense crack regions, crack arrays, and grain boundary eventually forms a macrocrack.
Before forming a fault, there is a fracture process zone (FPZ).[10] It is a region of microcracks near the tip of a rock failure. It is associated with the crack localization and related to energy dissipation. The size of a fracture process zone is related to the specimen size. The larger the specimen size, the large the size of the fracture process zone. This relationship no longer exists when the specimen size is larger than a certain size.
The heterogeneity of rock makes the microcracking behavior much more complicated than other simple materials. Factors controlling microcracking behavior still have been identified and studied:
In addition to microcracks formation, microcracks in rock can be recovered either by microcrack closure or microcrack healing.[11] [12] Microcrack recovery will directly cause a decrease in permeability of rock.
It can be either caused by increase in the applied stress or decrease in the effective stress.[13] For example, microcracks perpendicular to the maximum stress direction will close. However, in nature, parts of a microcrack can be in different directions. For this reason, it will result in incomplete closure that some parts of the microcrack are closed while some parts are still open.
It is driven by transportation of chemical fluid in microcracks. For example, healing of microcracks in quartz is activated by temperature. Healing in quartz becomes fast when the temperature is above 400 °C. The rate of healing also depends on the crack sizes. The smaller the cracks, the faster the healing.
Microcracks affect the properties of rock including stiffness, strength, elastic modulus, permeability, fracture toughness, and elastic wave velocity.
Studies of microcracks are focused on their distributions of the characteristics and microcracking behavior. Many experiments to study microcracks in rock have been conducted in the past decades, whereas numerical study also has been widely used to study microcracks in recent years because of the technology development. These studies have been used to compare with natural conditions.
Experimental study is to analyze the rock specimens that have been subjected to applied stress in laboratory. There are two popular methods to study microcracks. Observation of thin section using microscope is to obtain the distributions of microcrack lengths, widths and aspect ratios, numbers and densities, as well as orientations. Another method is using acoustic emission to detect and monitor microcrack growth. Experimental results can help scientists develop numerical models, such as simulation of fracture pattern growth.
Many experiments on rock fracture mechanism have been done in laboratory, but these experiments may have different requirement of specimen configuration and loading scheme. They are the two important factors controlling microcracking behavior such as microcrack development.[14]
Specimen configuration refers to the dimensions of a specimen and its man-made crack. Rock samples are usually obtained from rock cores. Therefore, cylinder shape, chevron-bend shape, and semi-circular-bend shape (SCB) are the common specimen shapes used in experimental study. For example, a semi-circular bend specimen has a man-made crack, called a notch. It is used to control the morphology of rock fracture. Two notch types can be induced: a straight-through notch or a chevron notch. A straight-through notch semi-circular-bend (SNCCB) specimen has a flat-ended notch, whereas a chevron notch semi-circular-bend (CNSCB) specimen has a V-shaped opening to the air.
In fracture mechanics, there are three types of loading modes to make a crack able to propagate. They are mode I (opening), mode II (in-plane shear), and mode III (out-plane shear). These loading modes can be achieved by the designed loading scheme. Mode I fractures are the most common microcracks in rock in natural.
An acoustic emission (AE) is a high-frequency elastic wave.[15] It is generated from microcrack formations, and is correlated to rapid microcrack growth. Acoustic emission sensors are attached to the surface of the specimen. They collect the signals generated during microcrack formation. The data can be used to describe the microcrack behavior. Noted that one detected acoustic emission event is not necessary to be one microcrack formation.
The types of data collected from acoustic emission sensors are:
These two types of data imply the following information:
Numerical study is used to help understanding the complicated rock mechanics problems.[16] Four types of models using in modelling microcracks in rock are particle-based models, block-based models, grain-based models, and node-based models. Since grain-based models can consider all types of microcrack, they are good at understanding microcracking behavior.
Experimental study of microcracks provides insights into faulting and microcracks formation in nature. Microcracks studies with CL and fluid-inclusion studies are able to reconstruct the growth of fractures from microcracks. Population of microcracks is useful to distinguish whether the detachment is due to landslide or tectonic in origin. The fracture process zone (FPZ) can be used to understand the permeability of fault zones which controls fluid flow. Therefore, microcracks can be useful for assessing the stress history or fluid movement history of rock. Acoustic emission from microcrack growth may help to understand earthquakes.
Microcracks can affect the thermal and transport properties of rock.[17] Studies of microcracks in rock provide an important insights into underground engineering problems as follows:
A deep geological repository is an underground repository for radioactive waste disposal, such as nuclear fuel.[18] It is at depth of hundred metres in a stable rock mass. Deep geological repositories are all over the world, such as the United States (WIPP) and Finland (Olkiluoto Nuclear Power Plant).
A geothermal reservoir is one of the three components of a geothermal system that acts an energy source.[19] [20] It is a porous and permeable rock mass so that convection of trapped hot water and steam and recharge of heat supply can occur. The ideal geothermal reservoir is a highly permeable, fractured rock matrix.
A hydrocarbon reservoir is an underground reservoir that keeps hydrocarbons trapped inside.[21] Reservoir rocks have high porosity and permeability while the surrounding rocks that act as barriers have low permeability. Therefore, hydrocarbons that exist as liquid and/or gas can only stay in the reservoir rocks.
Underground storage of CO2 is a solution to remove CO2 in the atmosphere.[22] It is composed of porous rocks surrounded by nonporous rocks so that it can trap the CO2 for a long time. A depleted oil and gas reservoir that is out of energy source is one of the examples used for underground storage.