# Mechanical Properties and Microscopic Geological Features under Uniaxial Compression in Tight Reservoir

Authors: Dazhong Ren; Fu Yang; Zhonghui Duan; Tao Tian; Ran Zhou; Dengke Liu
Journal: Geofluids
 (2021)

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## Abstract

In this study, to investigate the mechanical properties and microscopic geological features, a series of uniaxial compression, petrophysical properties, X-ray diffraction, elements, and conductivity tests were conducted. The results indicate that quartz and plagioclase are essential minerals determining Upper Triassic sandstone compositions, while quartz plays a dominant role in the Lower Permian sandstones. Due to microcracks, the relationships between porosity and permeability of Upper Triassic sandstones are better than those of Lower Permian sandstones. Observations have shown that silicon and aluminum are the main elements of those rocks. The rocks which have large porosity and permeability have a strong capacity of anticompression resistance. There are good consistencies between the mechanical behavior and the high proportion of rigid minerals. Similarly, the rocks which have abundant silicon and aluminum could better support the structural integrity of rocks. High pore structure heterogeneity and abundant clay minerals have positive influence on the mechanical resistance. Shales have distinct plastic deformation features when compared with the sandstones.


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## Body

## 1. Introduction

Cores are confined to a stress circumstance in the oil or gas reservoir [1, 2]. Field monitoring suggests that stresses of cores, which are rarely axisymmetric, increase with depth. Due to the differences in petrophysical properties, minerals, elements, and conductivity, cores have different geological features [3–5]. Many defects, such as fissures and fractures, existed in cores, and those geological features have a significant impact on the formation of the defects [6]. Understanding the mechanical properties of cores is essential in dealing with reservoir reformation. Therefore, the relationships between mechanical properties and geological characteristics attracted much attention, and the findings have been well documented experimentally, analytically, and numerically [7–10].To figure out the mechanical properties of cores, uniaxial compression experiments have been intensively performed to investigate the core’s mechanical characteristics under different stress states [11–13]. After the pioneer who conducted the true uniaxial experiments in the 1970s, various similar investigations were performed under quasistatic uniaxial confinement [14–16]. Some scholars have studied the defect (especially features) behaviors of cores and their relationships with geological features [17, 18]. However, more detailed research is required because the minerals, elements, and conductivity that impact the crack of cores could still be a myth.The Ordos Basin of China is rich in sandstones (Figure1) and is mainly distributed in the Upper Triassic Formation and Lower Permian Formation [19]. However, sandstones’ geological conditions in different areas are involved, revealing that the mechanical properties may vary a lot [20, 21]. Owing to the differences, it is vital to suggest the mineral composition, elements, and conductivity of tight sandstones in different areas, and the comparison of those two kinds of rocks from different formations has great significance. Besides, those cores’ mechanical properties are quite different, and the rock deformation’s underlying mechanisms still need to be investigated.Figure 1
Geological setting of the Ordos Basin.Therefore, in the present study, the physical properties, X-ray diffraction, element composition, and rock-electrical experiments were performed on the Chang 7 segment’s shales. The mechanical properties, including stress and strain measurements, were also conducted. Finally, how geological properties impact the mechanical features were investigated. Special attention was paid to the governing factors on the rock ruptures and the cracking thresholds of different core types.


## 2. Test Methodology

### 2.1. Physical Properties

The physical properties here were defined as porosity and permeability. After being washed with oil, dried, and vacuumed, the cores were put into the HKC-2 and HBSST-3 instruments for porosity and permeability determination, respectively. The samples are of cylinder shape with a diameter of 2.5 cm and a length of 4.6-4.8 cm. The porosity was based on the volumetric method, and the permeability was conducted by pulse amplifier. Helium served as the medium.


### 2.2. X-Ray Diffraction

The samples were first dried at 60°C and 40% humidity for 48 h and then crushed under 40μm and put into the drying chamber for test waiting. Based on the K value method, which is mainly concerned with the relationships between characteristic peak intensity in the spectrum and mineral composition, the mineral patterns were determined by the Rigaku SmartLab9 X-ray diffractometer.


### 2.3. Major and Trace Elements

The major and trace elements were measured with an EDX3600B energy-dispersive X-ray fluorescence spectrometer. Similar to X-ray diffraction, the samples were put into the environment with 23°C temperature and 40% relative humidity.


### 2.4. Rock-Electrical Tests

A ZL5 Intelligent LCR measuring instrument and an AG285 electronic balance were used as the apparatus with 25°C temperature and 53% relative humidity. The salinity of the brine is4×104mg/L with the Ω·m of the water resistivity in 25°C temperature. The resistivity of the saturated cores was then determined, and the porosity was gathered from Section 2.1. The formation factor F, cementation index m, and saturation index n were simulated by the relationship between resistivity, porosity, and saturation based on the Archie equation [22].


### 2.5. Uniaxial Compression Experiments

The cores were sealed into the chamber, and before the tests, two rigid metallic plates were placed on two ends to reduce the friction effect when loading was applied. The tests were performed with 35 MPa of ambient pressure and 85°C of environmental temperature. During the experiments, the force was imposed on the samples at a constant speed, and the force was gradually reduced when the cores were cracked. A linear variable differential transformer was applied to determine the deformation of samples.


## 2.1. Physical Properties

The physical properties here were defined as porosity and permeability. After being washed with oil, dried, and vacuumed, the cores were put into the HKC-2 and HBSST-3 instruments for porosity and permeability determination, respectively. The samples are of cylinder shape with a diameter of 2.5 cm and a length of 4.6-4.8 cm. The porosity was based on the volumetric method, and the permeability was conducted by pulse amplifier. Helium served as the medium.


## 2.2. X-Ray Diffraction

The samples were first dried at 60°C and 40% humidity for 48 h and then crushed under 40μm and put into the drying chamber for test waiting. Based on the K value method, which is mainly concerned with the relationships between characteristic peak intensity in the spectrum and mineral composition, the mineral patterns were determined by the Rigaku SmartLab9 X-ray diffractometer.


## 2.3. Major and Trace Elements

The major and trace elements were measured with an EDX3600B energy-dispersive X-ray fluorescence spectrometer. Similar to X-ray diffraction, the samples were put into the environment with 23°C temperature and 40% relative humidity.


## 2.4. Rock-Electrical Tests

A ZL5 Intelligent LCR measuring instrument and an AG285 electronic balance were used as the apparatus with 25°C temperature and 53% relative humidity. The salinity of the brine is4×104mg/L with the Ω·m of the water resistivity in 25°C temperature. The resistivity of the saturated cores was then determined, and the porosity was gathered from Section 2.1. The formation factor F, cementation index m, and saturation index n were simulated by the relationship between resistivity, porosity, and saturation based on the Archie equation [22].


## 2.5. Uniaxial Compression Experiments

The cores were sealed into the chamber, and before the tests, two rigid metallic plates were placed on two ends to reduce the friction effect when loading was applied. The tests were performed with 35 MPa of ambient pressure and 85°C of environmental temperature. During the experiments, the force was imposed on the samples at a constant speed, and the force was gradually reduced when the cores were cracked. A linear variable differential transformer was applied to determine the deformation of samples.


## 3. Results

### 3.1. Mineral Compositions

XRD was used to study rock mineral compositions (Figure2) [23–25]. The result indicates that the main mineral types of Upper Triassic sandstones include quartz, plagioclase, clay, etc., while those of Lower Permian sandstones include quartz, calcite, and clay. Quartz and feldspar are the main detrital minerals in Upper Triassic sandstones, and so many kinds of interstitial minerals, such as calcite, dolomite, siderite, ankerite, and clay, occluded the pore spaces. The mineral types of Lower Permian sandstones are relatively monotonous. Quartz is the only detrital mineral and calcite and clay are the main interstitial minerals, while anatase is in trace amounts.Figure 2
XRD results of the sandstones from two different strata. UT: Upper Triassic; LP: Lower Permian; Q: quartz; PF: potassium feldspar; Pc: plagioclase; Ca: calcite; Do: dolomite; Si: siderite; An: anatase; Ank: ankerite; Cl: clay.


### 3.2. Petrophysical Properties

The petrophysical properties of the samples are shown in Figure3. The averaged porosity of Upper Triassic and Lower Permian sandstones is 6.93% and 5.71%, respectively. The averaged permeability of Upper Triassic and Lower Permian sandstones is 0.11 mD and 0.22 mD, respectively. The reasons for these phenomena might be the depth differences: deeper burial, which corresponds to more considerable stress, would decrease the pore spaces while creating more microcracks. The burial depth of Lower Permian sandstones is more profound than Upper Triassic sandstones, so the former has lower porosity and higher permeability.Figure 3
Relationship between porosity and permeability. UT: Upper Triassic; LP: Lower Permian.The relationship between porosity and permeability is approximately exponential lines in the coordinate system [26, 27]. There is an excellent positive correlation for Upper Triassic sandstones, while the R-squared for Lower Permian sandstones is very low. Too many microcracks lead to high permeability and low porosity, which may result from abundant rigid minerals and deeper burial depth (Figure 3).


### 3.3. Element Characteristics

According to the elemental analysis results (Figure4), silicon, which indicates detrital minerals, such as quartz, has the highest content in two strata. Aluminum, which is associated with feldspar and clay, comes second. The amounts of all types of elements in Upper Triassic sandstones are higher than those in Lower Permian sandstones, except silicon.Figure 4
Element results of the sandstones from two different strata. Na: sodium; Mg: magnesium; Al: aluminum; Si: silicon; P: phosphorus; S: sulfur; K: potassium; Ca: calcium; Ti: titanium; Mn: manganese; Fe: ferrum.


### 3.4. Rock-Electrical Results

Because the rock-electrical parameter of sandstones has a significant impact on the formation properties, it is necessary to extract the rock-electrical model features [28–32]. The formation factor, which was determined by the ratio of saturated cores and water resistivity, averaged 111.10 and 104.33 for Upper Triassic and Lower Permian sandstones, respectively. The relationships between porosity and formation factor in the log-log coordinate can be used for the rock-electrical parameter with the help of the Archie equation, and for the Upper Triassic and Lower Permian sandstones, the averagedmis equal to 1.262 and 1.283 and an equivalent to 1.003 and 0.959, respectively (Figure 5). Highmhas a corresponding complex pore structure; therefore, those two sandstones may have a similar pore-throat ratio.Figure 5
Relationship between porosity and formation factor of (a) Upper Triassic and (b) Lower Permian sandstones.
(a)(b)


### 3.5. Uniaxial Compression Data

The compression is defined as positive in our research, and the signals obtained by uniaxial compression tests with unique temperature and confining pressure are exemplarily shown in Figure6. The Lower Permian sandstones are easy to crack when compared to Upper Triassic sandstones. Detailed figures and analysis are shown in Figure S1, Table S1, and Discussion.Figure 6
Dynamic stress and strain history: (a) Upper Triassic (2#) and (b) Lower Permian sandstones (5#), exemplarily shown. T: temperature; CP: confining pressure.
(a)(b)


## 3.1. Mineral Compositions

XRD was used to study rock mineral compositions (Figure2) [23–25]. The result indicates that the main mineral types of Upper Triassic sandstones include quartz, plagioclase, clay, etc., while those of Lower Permian sandstones include quartz, calcite, and clay. Quartz and feldspar are the main detrital minerals in Upper Triassic sandstones, and so many kinds of interstitial minerals, such as calcite, dolomite, siderite, ankerite, and clay, occluded the pore spaces. The mineral types of Lower Permian sandstones are relatively monotonous. Quartz is the only detrital mineral and calcite and clay are the main interstitial minerals, while anatase is in trace amounts.Figure 2
XRD results of the sandstones from two different strata. UT: Upper Triassic; LP: Lower Permian; Q: quartz; PF: potassium feldspar; Pc: plagioclase; Ca: calcite; Do: dolomite; Si: siderite; An: anatase; Ank: ankerite; Cl: clay.


## 3.2. Petrophysical Properties

The petrophysical properties of the samples are shown in Figure3. The averaged porosity of Upper Triassic and Lower Permian sandstones is 6.93% and 5.71%, respectively. The averaged permeability of Upper Triassic and Lower Permian sandstones is 0.11 mD and 0.22 mD, respectively. The reasons for these phenomena might be the depth differences: deeper burial, which corresponds to more considerable stress, would decrease the pore spaces while creating more microcracks. The burial depth of Lower Permian sandstones is more profound than Upper Triassic sandstones, so the former has lower porosity and higher permeability.Figure 3
Relationship between porosity and permeability. UT: Upper Triassic; LP: Lower Permian.The relationship between porosity and permeability is approximately exponential lines in the coordinate system [26, 27]. There is an excellent positive correlation for Upper Triassic sandstones, while the R-squared for Lower Permian sandstones is very low. Too many microcracks lead to high permeability and low porosity, which may result from abundant rigid minerals and deeper burial depth (Figure 3).


## 3.3. Element Characteristics

According to the elemental analysis results (Figure4), silicon, which indicates detrital minerals, such as quartz, has the highest content in two strata. Aluminum, which is associated with feldspar and clay, comes second. The amounts of all types of elements in Upper Triassic sandstones are higher than those in Lower Permian sandstones, except silicon.Figure 4
Element results of the sandstones from two different strata. Na: sodium; Mg: magnesium; Al: aluminum; Si: silicon; P: phosphorus; S: sulfur; K: potassium; Ca: calcium; Ti: titanium; Mn: manganese; Fe: ferrum.


## 3.4. Rock-Electrical Results

Because the rock-electrical parameter of sandstones has a significant impact on the formation properties, it is necessary to extract the rock-electrical model features [28–32]. The formation factor, which was determined by the ratio of saturated cores and water resistivity, averaged 111.10 and 104.33 for Upper Triassic and Lower Permian sandstones, respectively. The relationships between porosity and formation factor in the log-log coordinate can be used for the rock-electrical parameter with the help of the Archie equation, and for the Upper Triassic and Lower Permian sandstones, the averagedmis equal to 1.262 and 1.283 and an equivalent to 1.003 and 0.959, respectively (Figure 5). Highmhas a corresponding complex pore structure; therefore, those two sandstones may have a similar pore-throat ratio.Figure 5
Relationship between porosity and formation factor of (a) Upper Triassic and (b) Lower Permian sandstones.
(a)(b)


## 3.5. Uniaxial Compression Data

The compression is defined as positive in our research, and the signals obtained by uniaxial compression tests with unique temperature and confining pressure are exemplarily shown in Figure6. The Lower Permian sandstones are easy to crack when compared to Upper Triassic sandstones. Detailed figures and analysis are shown in Figure S1, Table S1, and Discussion.Figure 6
Dynamic stress and strain history: (a) Upper Triassic (2#) and (b) Lower Permian sandstones (5#), exemplarily shown. T: temperature; CP: confining pressure.
(a)(b)


## 4. Discussion

### 4.1. Compression Data Interpretation

The interpretation of signals of compression is necessary to achieve the mechanical rock properties. The relationships among principal stress, axial strain, and radial strain are obtained and shown in Figure7 and Figure S2. The axial and radial strains increase with the principal stress increase, while the volumetric strains show a hysteresis trend.Figure 7
Stress and strain history: (a) Upper Triassic (2#) and (b) Lower Permian sandstones (5#), exemplarily shown.
(a)(b)Some rock mechanical parameters are also obtained by stress and strain history. Figure8 shows the calculation methods of Young’s modulus and Poisson’s ratio, two typical rock mechanical parameters. With the increase of those two parameters, the resistance to compaction of the rock increases. Detailed data are shown in Table S1.Figure 8
The calculation procedure of (a) Young’s modulus and (b) Poisson’s ratio.
(a)(b)


### 4.2. Relationships between Mechanical Property Parameters and Petrophysical Properties

The porosity and permeability can reflect the petrophysical rock properties. Therefore, we analyze the relationships between porosity/permeability and mechanical property parameters. The porosity and permeability of those eight samples are shown in TableS2. Figure 9(a) shows that the higher the porosity is, the longer the rock fracture time. Figures 9(b) and 9(c) demonstrate that porosity has negative correlations with Young’s modulus and Poisson’s ratio. Those figures illustrate that abundant pore space may resist the compression stress and enhance rocks’ resistance ability. Similar to the porosity, the permeability also has positive relationships with mechanical property parameters. Besides, the Upper Triassic sandstones have a distinct response, while the Lower Permian ones do not have a typical trend, even having an opposite trend, reflecting that the former ones are more sensitive to the compression.Figure 9
Relationships between petrophysical property and mechanical property parameters. UT: Upper Triassic; LP: Lower Permian.
(a)(b)(c)(d)(e)(f)


### 4.3. Relationships between Mechanical Property Parameters and Mineral Compositions

Mineral compositions are closely related to rock mechanical characteristics. The test results are shown in TableS2. Figures 10(a)–10(c) show a good positive correlation between quartz and rock fracture time, maximum stress, and reflection stress, indicating that the rocks abundant in quartz are more rigid. The Lower Permian sandstones only have quartz, calcite, and clay, and quartz plays a dominant role in the mineral content, whereas the calcite is in trace amounts. Therefore, it is not necessary to study the relationships between other minerals and rock mechanical properties.Figure 10
Relationships between mineral composition and mechanical property parameters. UT: Upper Triassic; LP: Lower Permian.
(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)(l)It can be seen from Figure10(d) that potash feldspar has a good positive correlation with rock fracture time and dolomite also shows the same trend with Young’s modulus (Figure 10(j)). However, when potash feldspar, plagioclase, dolomite, and clay increase, the rock mechanical properties gradually deteriorate (Figures 10(e)–10(i), 10(k), and 10(l)). Those different trends between potash feldspar, dolomite, and rock mechanical properties demonstrate that, although these minerals seem to have correlations with rock resistance, they do not impact the mechanical properties due to the restricted content. Those relatively abundant minerals, such as plagioclase and clay, may increase the plasticity of the rock.


### 4.4. Relationships between Mechanical Property Parameters and Elements

There is little research in the relationships between geochemical elements and mechanical properties; the data are shown in TableS3. Silicon is generally derived from terrigenous debris, which represents the presence of quartz. Silicon has a positive correlation with mechanical properties in Upper Triassic sandstones while is negatively correlated with mechanical properties in Lower Permian sandstones (Figure 11(a)). These trends indicate that abundant quartz may lead to the rocks becoming easy to crack. Aluminum is associated with feldspar and clay, and it has a positive correlation with mechanical properties (Figure 11(b)). Calcium is closely related to carbonate, low hardness, and easy cracking (Figure 11(c)). Ferrum, magnesium, and potassium are closely related to the silica formation environment. Therefore, they have the same or opposite trend with silicon (Figures 11(a) and 11(d)–11(f)). The proportion of the elements shown in Figure 11 are above 1.00%; those below 1.00% are delivered in Figure S3.Figure 11
Relationships between elements (amount above 1%) and mechanical properties: (a) silicon, (b) aluminum, (c) calcium, (d) ferrum, (e) magnesium, and (f) potassium. RFT: rock fracture time; MS: maximum stress; RS: reflection stress; YM: Young’s modulus; PR: Poisson’s ratio; black point: Upper Triassic; red point: Lower Permian.
(a)(b)(c)(d)(e)(f)


### 4.5. Relationships between Mechanical Properties and Rock-Electrical Results

Figure12(a) shows that lower Permian sandstones’ anticompression ability is stronger than that of Upper Triassic sandstones. Besides, as a large m value represents complex pore networks, and large n indicates weak water wettability, the Lower Permian sandstones have complex pore structure and abundant hydrophilic minerals (especially clay). Figures 11(b) and 11(c) show the reasons. Strong heterogeneity of the rocks generally represents a high proportion of clay minerals (Figure 2) and less pore space, which mean that the detrital minerals are close to each other and have a strong anticompression ability. Besides, strong water ability is also indicated by abundant hydrophilic minerals (illite and I/S mixed layer); those clays occlude the pores and increase the rocks’ mechanical strength (Figure 11(c)).Figure 12
(a) Histogram of them, n, 0.1 times of the Young’s modulus, and Poisson’s ratio, (b) casting thin section of Upper Triassic sandstones, and (c) casting thin section of Lower Permian sandstones. UT: Upper Triassic; LP: Lower Permian.
(a)(b)(c)


### 4.6. Mechanical Property Differences between Sandstones and Shales

When compared with the sandstones’ mechanical properties, those of the shales have some differences (Figures6, 7, and 13). The first one is that the shales’ curves are more smooth than those of the sandstones, suggesting that shales have distinct plastic deformation. Besides, the shales’ breaking time is much shorter than that of the sandstones, indicating that although the shales have precise plastic deformation, the shales are still easy to crack. However, there some myths still exist. For example, Young’s modulus and Poisson’s ratio for shales vary a lot, which means that further analysis needs to be done to research the mechanical properties of shales.Figure 13
(a) Dynamic stress and strain history for shale 1, (b) stress and strain history for shale 1, (c) dynamic stress and strain history for shale 2, and (d) stress and strain history for shale 2.
(a)(b)(c)(d)


## 4.1. Compression Data Interpretation

The interpretation of signals of compression is necessary to achieve the mechanical rock properties. The relationships among principal stress, axial strain, and radial strain are obtained and shown in Figure7 and Figure S2. The axial and radial strains increase with the principal stress increase, while the volumetric strains show a hysteresis trend.Figure 7
Stress and strain history: (a) Upper Triassic (2#) and (b) Lower Permian sandstones (5#), exemplarily shown.
(a)(b)Some rock mechanical parameters are also obtained by stress and strain history. Figure8 shows the calculation methods of Young’s modulus and Poisson’s ratio, two typical rock mechanical parameters. With the increase of those two parameters, the resistance to compaction of the rock increases. Detailed data are shown in Table S1.Figure 8
The calculation procedure of (a) Young’s modulus and (b) Poisson’s ratio.
(a)(b)


## 4.2. Relationships between Mechanical Property Parameters and Petrophysical Properties

The porosity and permeability can reflect the petrophysical rock properties. Therefore, we analyze the relationships between porosity/permeability and mechanical property parameters. The porosity and permeability of those eight samples are shown in TableS2. Figure 9(a) shows that the higher the porosity is, the longer the rock fracture time. Figures 9(b) and 9(c) demonstrate that porosity has negative correlations with Young’s modulus and Poisson’s ratio. Those figures illustrate that abundant pore space may resist the compression stress and enhance rocks’ resistance ability. Similar to the porosity, the permeability also has positive relationships with mechanical property parameters. Besides, the Upper Triassic sandstones have a distinct response, while the Lower Permian ones do not have a typical trend, even having an opposite trend, reflecting that the former ones are more sensitive to the compression.Figure 9
Relationships between petrophysical property and mechanical property parameters. UT: Upper Triassic; LP: Lower Permian.
(a)(b)(c)(d)(e)(f)


## 4.3. Relationships between Mechanical Property Parameters and Mineral Compositions

Mineral compositions are closely related to rock mechanical characteristics. The test results are shown in TableS2. Figures 10(a)–10(c) show a good positive correlation between quartz and rock fracture time, maximum stress, and reflection stress, indicating that the rocks abundant in quartz are more rigid. The Lower Permian sandstones only have quartz, calcite, and clay, and quartz plays a dominant role in the mineral content, whereas the calcite is in trace amounts. Therefore, it is not necessary to study the relationships between other minerals and rock mechanical properties.Figure 10
Relationships between mineral composition and mechanical property parameters. UT: Upper Triassic; LP: Lower Permian.
(a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)(l)It can be seen from Figure10(d) that potash feldspar has a good positive correlation with rock fracture time and dolomite also shows the same trend with Young’s modulus (Figure 10(j)). However, when potash feldspar, plagioclase, dolomite, and clay increase, the rock mechanical properties gradually deteriorate (Figures 10(e)–10(i), 10(k), and 10(l)). Those different trends between potash feldspar, dolomite, and rock mechanical properties demonstrate that, although these minerals seem to have correlations with rock resistance, they do not impact the mechanical properties due to the restricted content. Those relatively abundant minerals, such as plagioclase and clay, may increase the plasticity of the rock.


## 4.4. Relationships between Mechanical Property Parameters and Elements

There is little research in the relationships between geochemical elements and mechanical properties; the data are shown in TableS3. Silicon is generally derived from terrigenous debris, which represents the presence of quartz. Silicon has a positive correlation with mechanical properties in Upper Triassic sandstones while is negatively correlated with mechanical properties in Lower Permian sandstones (Figure 11(a)). These trends indicate that abundant quartz may lead to the rocks becoming easy to crack. Aluminum is associated with feldspar and clay, and it has a positive correlation with mechanical properties (Figure 11(b)). Calcium is closely related to carbonate, low hardness, and easy cracking (Figure 11(c)). Ferrum, magnesium, and potassium are closely related to the silica formation environment. Therefore, they have the same or opposite trend with silicon (Figures 11(a) and 11(d)–11(f)). The proportion of the elements shown in Figure 11 are above 1.00%; those below 1.00% are delivered in Figure S3.Figure 11
Relationships between elements (amount above 1%) and mechanical properties: (a) silicon, (b) aluminum, (c) calcium, (d) ferrum, (e) magnesium, and (f) potassium. RFT: rock fracture time; MS: maximum stress; RS: reflection stress; YM: Young’s modulus; PR: Poisson’s ratio; black point: Upper Triassic; red point: Lower Permian.
(a)(b)(c)(d)(e)(f)


## 4.5. Relationships between Mechanical Properties and Rock-Electrical Results

Figure12(a) shows that lower Permian sandstones’ anticompression ability is stronger than that of Upper Triassic sandstones. Besides, as a large m value represents complex pore networks, and large n indicates weak water wettability, the Lower Permian sandstones have complex pore structure and abundant hydrophilic minerals (especially clay). Figures 11(b) and 11(c) show the reasons. Strong heterogeneity of the rocks generally represents a high proportion of clay minerals (Figure 2) and less pore space, which mean that the detrital minerals are close to each other and have a strong anticompression ability. Besides, strong water ability is also indicated by abundant hydrophilic minerals (illite and I/S mixed layer); those clays occlude the pores and increase the rocks’ mechanical strength (Figure 11(c)).Figure 12
(a) Histogram of them, n, 0.1 times of the Young’s modulus, and Poisson’s ratio, (b) casting thin section of Upper Triassic sandstones, and (c) casting thin section of Lower Permian sandstones. UT: Upper Triassic; LP: Lower Permian.
(a)(b)(c)


## 4.6. Mechanical Property Differences between Sandstones and Shales

When compared with the sandstones’ mechanical properties, those of the shales have some differences (Figures6, 7, and 13). The first one is that the shales’ curves are more smooth than those of the sandstones, suggesting that shales have distinct plastic deformation. Besides, the shales’ breaking time is much shorter than that of the sandstones, indicating that although the shales have precise plastic deformation, the shales are still easy to crack. However, there some myths still exist. For example, Young’s modulus and Poisson’s ratio for shales vary a lot, which means that further analysis needs to be done to research the mechanical properties of shales.Figure 13
(a) Dynamic stress and strain history for shale 1, (b) stress and strain history for shale 1, (c) dynamic stress and strain history for shale 2, and (d) stress and strain history for shale 2.
(a)(b)(c)(d)


## 5. Conclusions

Mechanical properties of sandstones under uniaxial compression and microscopic geological features were systematically studied using the developed equipment. The mineral compositions, petrophysical properties, elements, and mechanical properties were determined, and how those microscopic geological features impact mechanical properties were investigated. The conclusions are as follows:(1)
Quartz and plagioclase are essential minerals determining Upper Triassic sandstones’ compositions, while quartz plays a dominant role in the Lower Permian sandstones(2)
Due to microcrack occurrence, the relationships between porosity and permeability of Upper Triassic sandstones are better than those of Lower Permian sandstones(3)
Observations have shown that silicon and aluminum are the main elements of those rocks. The rocks which have large porosity and permeability have a strong capacity of anticompression resistance. There are good consistencies between the mechanical behavior and the high proportion of rigid minerals(4)
The rocks which have abundant silicon and aluminum could better support the structural integrity of stones(5)
Strong structure heterogeneity and abundant hydrophilic minerals generally correspond to good anticompression ability.



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