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1.
The Zhangjiajie Sandstone Peak Forest Geopark in northwest Hunan Province, China, is a comprehensive geopark containing many spectacular quartz sandstone landforms, limestone karst landscapes and various other important geoheritage resources. It is listed as a UNESCO World Geopark and is also part of the World Heritage Wulingyuan Scenic and Historic Interest Area for its important landscape features. Many of the sandstone landforms, particularly the vast number of thin pillars or spires, are very unusual and serve as the core landscapes of the geopark. But Zhangjiajie displays a diverse range of landform types, exhibiting spectacular patterns and regular distributions. In this paper, the geomorphic traits, distribution pattern and constraints of the sandstone landforms of the Zhangjiajie Geopark are examined. Our study indicates that in the outcropping areas, the sandstones display four distinctive levels from 300 to 1,000 m above sea level, and these extend clearly from the highest sandstone plateau platform to the center of the valleys. The high sandstone platforms developed close to a flat high-level erosional surface, and subsequent erosion into this plateau has resulted in successively lower levels of landforms that transition gradually from peak walls, peak clusters, peak forests and peak pillars to remnant peaks in the lower valley bottoms. The form and distribution of the Zhangjiajie sandstone landforms are primarily dominated by the geological setting, particularly the presence of brittle structures (fractures and joint sets) trending NNW, ENE and NE. Triggered by the episodic tectonic movements, major streams and escarpments frequently occur along these structural directions, while some of the peak walls, peak clusters and peak forests have their longer elongated axes corresponding to NE or NNW directions, with an increased density of peak forms at the intersection of these fractures and joints. The geometry of the diverse sandstone landforms is also influenced to a certain degree by the climatic, water system distribution, lithologic properties, biological process, meteorological features and denudation processes. The suite of quartz sandstone landforms in Zhangjiajie can be compared with other sandstone landscapes regionally, and our interpretation of the sandstone peak forest formation processes offers a significant contribution to the study of topographic features and the geomorphic evolution of sandstone landscapes.  相似文献   

2.
Carlin-type gold deposits are best known for the scarcity of visible gold in their ores. It has long been recognized that the majority of gold is “invisible”, such that it cannot be resolved by conventional microscopy, and resides in arsenian pyrite. Shuiyindong differs in that sub-μm to μm-sized native gold is present in arsenian pyrite veinlets and disseminations. It is also the largest (55 tonnes) and highest grade (7 to 18 ppm), stratabound, Carlin-type gold deposit in Guizhou, China and has produced 5 tonnes of gold from sulfide refractory ores extracted by underground mining methods. In this study, an electron microprobe analyzer (EMPA) was used to map the spatial distribution of “invisible” gold and sub-μm to μm-size visible gold particles in arsenian pyrite in high-grade ore samples from the Shuiyindong. The samples studied are hosted in Permian bioclastic ferroan limestone of the Longtan Formation and exhibit evidence of decarbonation, silicification and sulfidation. Arsenian pyrite with detectable Au (> 400 to 3800 ppm) is disseminated in altered limestone and was deposited in two stages separated by an episode of corrosion in a veinlet.The results show that there are two populations of native gold in arsenian pyrite. One is comprised of sub-μm size gold particles (0.1 to 0.2 μm) that are occasionally present in the gold-bearing arsenian pyrite disseminated in the host rocks. This arsenian pyrite is interpreted to have been formed by sulfidation of ferroan calcite and dolomite. Another is comprised of coarser (1 to 6 μm) native gold grains present in the arsenian pyrite veinlet, either on the first stage where it has been corroded or on the second stage. The lack of fluid inclusion or other evidence of boiling and the low iron content of fluid inclusions in quartz, suggest the veinlet formed by sulfidation of another fluid containing Fe. The Fe-bearing fluid may be a depleted ore fluid that gained Fe by dissolution of ferroan limestone after H2S had been consumed. The association of the largest visible gold grains with an episode of corrosion suggests that fluids episodically became undersaturated with arsenian pyrite while remaining saturated with gold (e.g., pH decrease or an increase in the oxidation state). This may have resulted from incursion of relatively acidic or oxidized fluids that were able to dissolve arsenian pyrite and remain saturated with gold. In this case, sulfidation of iron from the host rock, was the most important depositional mechanism for Au-bearing arsenian pyrite with, or without, grains of native gold.  相似文献   

3.
In moderately to highly strained sandstones, both the long axis of the bedding-parallel finite-strain ellipse, as calculated by the normalized Fry method, and the projection of the long axis of the AMS ellipsoid on the plane of bedding, align well with local “structural grain” (trends of cleavage, folds, and faults). This relationship implies that results of both 2D Fry and AMS analyses represent the local layer-parallel tectonic strain component. Do both methods provide comparable results for very low-strain sandstone (e.g., <5%)? To address this question, Fry and AMS analyses were conducted in very low-strain sandstone from two localities in the Appalachian foreland fold–thrust belt: near Rosendale in New York and the Lackawanna synclinorium of Pennsylvania. We compared the map projections of both bedding-parallel Fry ellipses and AMS ellipsoids to the local structural grain. In both study areas, projections of the long axis of Fry strain ellipses do not cluster in a direction parallel to structural grain, whereas the projection of the long axes of AMS ellipsoids do cluster closely to structural grain. This observation implies that in very low-strain sandstone, AMS analysis provides a more sensitive “quick” indicator of tectonic fabric than does normalized Fry analysis.  相似文献   

4.
This preliminary petrographic study of a Paleozoic carbonate section (Upper Ordovician to Silurian) in the Lone Mountain district in east-central Nevada provides new information on its microfacies and dolomitization. The occurrence of diversified microfacies in rocks from this section reveals the complex nature of their depositional history, as well as the subsequent diagenesis. Most microfacies from these rocks fall into two general groups: (1) dolomite facies which predominates in the Hanson Creek Formation (Upper Ordovician to Lowest Silurian) and the Lone Mountain Unit 1; and (2) dolomitized limestone facies which is common in the Lone Mountain Formation (Upper Silurian).The dolomite in the mid-Paleozoic carbonate section of the Lone Mountain is overwhelmingly diagenetic in origin. The early diagenetic dolomite is characterized by its homogeneous texture, uniform medium-to-coarse grain size and poorly preserved fossil impressions. The fossil content in this type of dolomite indicates its original calcareous nature. On the other hand, the late-diagenetic dolomite is characterized by its heterogeneous texture, non-uniform grain-size, detrital-quartz content and the presence of partly or incompletely altered fossil structures.  相似文献   

5.
The styles and mechanisms of deformation associated with many variably dolomitized limestone shear systems are strongly controlled by strain partitioning between dolomite and calcite. Here, we present experimental results from the deformation of four composite materials designed to address the role of dolomite on the strength of limestone. Composites were synthesized by hot isostatic pressing mixtures of dolomite (Dm) and calcite powders (% Dm: 25%-Dm, 35%-Dm, 51%-Dm, and 75%-Dm). In all composites, calcite is finer grained than dolomite. The synthesized materials were deformed in torsion at constant strain rate (3 × 10−4 and 1 × 10−4 s−1), high effective pressure (262 MPa), and high temperature (750 °C) to variable finite shear strains. Mechanical data show an increase in yield strength with increasing dolomite content. Composites with <75% dolomite (the remaining being calcite), accommodate significant shear strain at much lower shear stresses than pure dolomite but have significantly higher yield strengths than anticipated for 100% calcite. The microstructure of the fine-grained calcite suggests grain boundary sliding, accommodated by diffusion creep and dislocation glide. At low dolomite concentrations (i.e. 25%), the presence of coarse-grained dolomite in a micritic calcite matrix has a profound effect on the strength of composite materials as dolomite grains inhibit the superplastic flow of calcite aggregates. In high (>50%) dolomite content samples, the addition of 25% fine-grained calcite significantly weakens dolomite, such that strain can be partially localized along narrow ribbons of fine-grained calcite. Deformation of dolomite grains by shear fracture is observed; there is no intracrystalline deformation in dolomite irrespective of its relative abundance and finite shear strain.  相似文献   

6.
Post-deformational annealing of calcite rocks   总被引:3,自引:3,他引:3  
The evolution of microstructure and crystallographic preferred orientation (CPO) during post-deformational annealing was studied on three calcite rock types differing in purity and grain size: Carrara marble (98% calcite, mean grain size of 115 μm), Solnhofen limestone (96%, 5 μm) and synthetic calcite aggregates (99%, 7 μm). Samples were first deformed in torsion at 727 °C at a shear strain rate of 3 × 10 4 s 1 to a shear strain of 5 and subsequently heat-treated at 727 °C for various durations between 0 and 24 h. Microstructures and CPOs were analysed by optical microscopy, image analysis and electron backscatter diffraction (EBSD).All rock types deformed in the dislocation creep field at the same applied conditions, but their microstructures and CPOs after deformation and after annealing differed depending on starting grain size and material composition. In Carrara marble and in the synthetic calcite aggregate, a strong CPO developed during deformation accompanied by dynamic recrystallisation with significant changes in grain size. During annealing, widespread grain growth and subtle changes of CPO occurred, and equilibrated foam microstructures were approached after long annealing times. The CPO is the only feature in annealed samples indicating an earlier deformation phase, although it is not always identical to the CPO formed during deformation. In the more impure Solnhofen limestone, secondary phases on grain boundaries suppressed grain boundary mobility and prevented both the formation of a recrystallisation CPO during deformation and grain size modification during deformation and annealing.  相似文献   

7.
巴什托普构造带已经发现了石炭系的生物碎屑灰岩油藏,其烃源岩为寒武系—奥陶系海相碳酸盐岩层。推测油气运移必经之路上的志留系圈闭和奥陶系圈闭中可能存在油气藏。对巴什托普构造带石炭系以下志留系和奥陶系的分析表明,志留系下砂岩段与其上覆的红色泥岩段可以构成一个有利的储盖组合,下奥陶统石灰岩段有可能形成石灰岩岩溶并与其上覆志留系巨厚的暗色泥岩段组成一套储盖组合。在巴什托普构造带,在与油源沟通良好、构造圈闭有利的位置上,应该可以形成工业性油气藏。  相似文献   

8.
The Istanbul Terrane along the Black Sea coast in NW Anatolia, is a Gondwana-derived continental microplate, comprising a well-developed Paleozoic succession. Petrographic and X-ray diffraction studies were performed on rock samples from measured sections throughout Ordovician?CCarboniferous sedimentary units. Diagenetic-very low-grade metamorphic clastic (shale/mudstone, siltstone, sandstone) and calcareous rocks (limestone, dolomite) mainly contain phyllosilicates, quartz, feldspar, calcite, dolomite, hematite and goethite minerals. Phyllosilicates are primarily represented by illite, chlorite, mixed-layered chlorite?Cvermiculite (C?CV), chlorite?Csmectite (C?CS) and illite?Cchlorite (I?CC). Feldspar is commonly present in the Ordovician and Carboniferous units, whereas calcite and dolomite are abundant in the Silurian and Devonian sediments. The most important phyllosilicate assemblage is illite?+?chlorite?+?I?CC?+?C?CV?+?C?CS. Illite and chlorite-bearing mixed layer clays are found in all units. The amounts of illites increase in the upper parts of the Silurian series and the lower parts of the Devonian series, whereas chlorite and chlorite-bearing mixed-layers are dominant in the Ordovician and Carboniferous units. Kübler index values of illites reflect high-grade anchimetamorphism for the Early Ordovician rocks, low-grade metamorphism to high-grade diagenesis for the Middle Ordovician?CEarly Silurian rocks and high-grade diagenesis for the Late Silurian?CDevonian units. The K-white micas b cell dimensions indicate intermediate pressure conditions in the Early Ordovician?CEarly Silurian units, but lower pressure conditions in the Middle Silurian?CDevonian units. Illites are composed of 2M 1?±?1M d polytypes in all units, except for Upper Ordovician?CLower Silurian units which involve 1M polytype in addition to 2M 1 and 1M d polytypes. The 2M 1/(2M 1?+?1Md) ratios rise from Devonian to Ordovician together with the increasing diagenetic-metamorphic grade. Chlorites have IIb polytype. In general, crystal-chemical data of clay minerals in the Istanbul Terrane show a gradual increase in the diagenetic/metamorphic grade together with increasing depth. The new data presented in this work indicate that the diagenetic/metamorphic grade of the Paleozoic of the Istanbul Terrane is higher than that of the neighboring Zonguldak Terrane and generated by a single metamorphic phase developed at the end of Carboniferous. This finding contrasts with the metamorphic history of the neighboring Zonguldak Terrane that displays a distinct Early Devonian unconformity and a thermal event.  相似文献   

9.
Neutron diffraction methods (both time-of-flight- and angle-dispersive diffraction) are applied to intracrystalline strain measurements on geological samples undergoing uniaxial increasing compressional load. The experiments were carried out on Cretaceous sandstones from the Elbezone (East Germany), consisting of >95% quartz which are bedded but without crystallographic preferred orientation of quartz. From the stress–strain relation the Young’s modulus for our quartz sample was determined to be (72.2±2.9) GPa using results of the neutron time-of-flight method. The influence of different kinds of bedding in sandstones (laminated and convolute bedding) could be determined. We observed differences of factor 2 (convolute bedding) and 3 (laminated bedding) for the elastic stiffness, determined with angle dispersive neutron diffraction (crystallographic strain) and with strain gauges (mechanical strain). The data indicate which geological conditions may influence the stress–strain behaviour of geological materials. The influence of bedding on the stress–strain behaviour of a laminated bedded sandstone was indicated by direct residual stress measurements using neutron time-of-flight diffraction. The measurements were carried out six days after unloading the sample. Residual strain was measured for three positions from the centre to the periphery and within two radial directions of the cylinder. We observed that residual strain changes from extension to compression in a different manner for two perpendicular directions of the bedding plane.  相似文献   

10.
87Sr/86Sr ratios of brine from samples from the Michigan and Appalachian Basins, in Ontario and Michigan, covering the stratigraphic interval from the Cambrian to Mississippian, vary from 0.708 to 0.711. With the exception of the salt units of the Salina Formation (Silurian), most values are greater than seawater for the time in question, indicating water-rock interaction. The sources of the radiogenic Sr has not been identified. All samples plot below the GMWL in δ18O−δ2H space, with the Cambrian and Ordovician samples closest to the line. Mixing of brines meteoric and glacial (Pleistocene) water is indicated in some cases. The more concentrated brines from each stratigraphic unit show a very narrow spread in values. All the Ordovician brines show a narrow range over a 200 km area for Sr, O and H isotopes, indicating extensive lateral migration of the fluids.Strontium in the brine has not equilibrated isotopically with its host rock. In some cases the late-stage minerals saddle dolomite, calcite and anhydrite have the same 87Sr/86Sr ratios as the brine, indicating that they precipitated from the brine in isotopic equilibrium.  相似文献   

11.
Comparison of maps produced from publicly available data (drillers' logs, electrical logs and mine maps) provides a basis for inferring a deep-seated influence on the distribution of superposed deposits of thick coal (>1.4 m) in four Middle Pennsylvania (Desmoinesian Series) coal beds in three mining districts of west-central Indiana. Thick sandstone (>18 m) is common in areas between and around the mining districts, but less than 3 percent of the study area (consisting of 3200 km2) is underlain by both thick coal and thick sandstone. Only thick sandstone associated with the Survant Coal Member (Linton Formation), and informally referred to by us “Survant sandstone”, exists in all of the thin-coal areas. After comparison with published maps by other authors, it is inferred that distribution of the Survant sandstone, which was deposited immediately after a long period of slow deposition associated with the Colchester Coal Member (Linton Formation), may reflect topographic expression of long-term subsidence associated with differential thinning of much deeper Silurian strata (580 m below).Although the findings of this study provide the basis for a conceptual geologic model with a hypothetical structure that is amenable to statistical testing, such analysis should be undertaken only after the data are analyzed for randomness, spatial autocorrelation, linearity and normality.  相似文献   

12.
A non-coaxial deformation involving pre-folding initiation of cleavage perpendicular to bedding is proposed to explain non-axial planar cleavage associated with mesoscopic folds in part of the Appalachian foreland thrust-belt of southwest Virginia. Folds are gently plunging, asymmetric, upright to slightly inclined, sinusoidal forms with non-axial fanning cleavage. They show extreme local variations in type and degree of transection and the consistency of transection direction. These relations are further complicated by hinge migration.Cleavage-fan angles, bedding-cleavage angles and δ transection values appear influenced by fold tightness, and in part by fold flattening strain. Fold flattening increments are considered simultaneous with folding. Axial surface traces, and not cleavage traces, coincide with the principal extension direction in fold profiles. Geometric modelling of cleavage fanning and bedding-cleavage angle variations for various theoretical folding modes suggest that folding in limestone and sandstone layers was by tangential longitudinal strain. Significant shape modification and change in bedding-cleavage relations occurred after limb dips of 40 and 50° were attained in limestone and sandstone respectively. Mud-rock class 1C folds with convergent cleavage fans show features transitional between buckling and flexural flow. Initiation of ‘cleavage’ fabrics during layer-parallel shortening prior to significant folding may be important for cleavage evolution in some deformed rocks.  相似文献   

13.
New phosphatic microfossils were recently discovered in an Ediacaran–Cambrian mid-oceanic paleo-atoll limestone in the southern Gorny Altai Mountains in southern Siberia. Microfossils with calcium phosphate shells are abundant in the limestone that occurs as an exotic block within a Cambrian accretionary complex in the Kurai area. SEM observations confirm that the calcium phosphatic shells are ellipsoidal and equal-sized, about 200–300 μm in diameter. Shell walls are about 1 μm thick. As the absence of external and internal structures hinders a detailed comparison/identification, these microfossils are tentatively treated here as paleontological problematica. EPMA-analysis confirmed the concentration of elements P and Ca in microfossil shells and the absence in the matrix, suggesting the primary phosphatic composition of the shells. Because phosphatic microfossils are generally scarce in the Ediacaran but abundant from the Lower Cambrian, in particular within pre-trilobitic SSF assemblages, the phosphatic fossil-bearing limestone in the Kurai area possibly belongs to the Lower Cambrian. The present find proves that mid-oceanic paleo-seamounts as well as continental shelf domains had already been inhabited by diverse metazoans in the Ediacaran–Cambrian transitional interval.  相似文献   

14.
Textural and chemical changes occurring in illite and chlorite concomitant with pressure solution of limestone were studied in samples from the Kalkberg Formation of Catskill, New York, using XRD and TEM/AEM. Samples on one limb of an anticline are massive shaly limestones, but those on the other have undergone extensive pressure solution and well-developed cleavage is present. Illite and chlorite from the uncleaved shaly limestone are found in small individual packets (100–800 Å thick) dispersed throughout the carbonate matrix with crystal morphologies characteristic of burial diagenesis. Phyllosilicates from the limb more affected by pressure solution occur in larger units (>1 μm thick) as stacks of subparallel packets (150–500 Å thick). Such stacks are inferred to represent coalescence of smaller packets. These data imply that the phyllosilicates are largely passive during pressure solution of limestone; however, localized solution-recrystallization is required by the coherent to semi-coherent packet boundaries and the crystal morphologies present in the pressure solution sample. The largely passive role is in contrast with the more active role of phyllosilicates in many shales and slates.XRD data for illite show an increase in crystallinity in the pressure solution sample under isothermal conditions. Differences in illite crystallinity are adequately explained in large part by differences in crystal size with some contribution due to strain. The data demonstrate that illite crystallinity cannot be unambiguously used in determining absolute or even relative temperatures.  相似文献   

15.
Samples were collected near known gold mineralization from anomalous and background soils developed on glacial till in British Columbia and Ontario, and in residual soils in Nevada, Utah and the Yukon Territory. After wet sieving to five size fractions finer than 2000 mm, and separation of heavy minerals (S.G. > 3.3) for the − 212 + 106 μm and − 106 + 53 μm fractions, gold concentrations in each fraction were determined by fire assay-atomic absorption.In all cases more than 60% of the gold resides in the − 53 μm fraction. For the residual soils most of the remaining gold is associated with the light mineral fractions and only a negligible proportion resides in the heavy minerals. Estimates of the numbers of gold particles and subsampling variability suggest that gold, in both heavy and light mineral fractions, is largely present as inclusions of fine gold. For exploration purposes, optimum sample representativity would be obtained with the − 53 μm fraction. However, because this fraction is a major component of the soils, use of a coarser size fraction (e.g., − 212 μm) will only slightly reduce sample representativity. Also, because most of the gold is associated with the − 53 μm and light mineral fractions, use of heavy mineral concentrates offers no significant advantage and in some cases would result in anomalous conditions being overlooked.  相似文献   

16.
Therewassomeabnormalthermaldistrictsduetomag-maticintrusionintotheearthcrust.Thisleadedtocircularf1owoffluidsinornearmagmalocation.Theeventofmagmaintrusioneffectstohydrothermalore-formingprocessesin-cluding(1)thefluidsandore-formingmaterialsfrommagma,(2)thethermalenergyfrommagma.Thethermalenergyre-sultsincircularflowoffluidsinporespaceofwallrockorincrystallizedplutonornearwallrock(r5Okmfromthecenterofpluton)(NortonandCathles1979).Materialandenergyaretwobasicfactorsforhydrohermalore-formingpr…  相似文献   

17.
Four medium-aperture trilateration networks in eastern Taiwan have been surveyed three to four times since 1981. One is the Ilan network crossing an elongated active seismic zone, the others are the Hualien, Yuli and Taitung networks located at the northernmost, middle, and southernmost portions of the Longitudinal Valley, respectively. Based on changes of the observed line length, the three components of the surface strain rate tensor for each of the networks are obtained by a least squares adjustment technique. Then the principal strain rates are calculated. The Ilan network gives a principal strain rate of uniaxial extension at 2.3 μstrain/yr in the direction of N45°W. The Hualien network has a principal strain rate of 1.2 μstrain/yr extension in N62°E and 1.2 μstrain/yr contraction in N152°E. The Yuli network yields essentially a principal strain rate of uniaxial contraction at 8.4 μstrain/yr in N117°E, whereas the Taitung network has a principal strain rate of 1.5 μstrain/yr extension in N24°E and 3.9 μstrain/yr contraction in N114°E. The directions of contractionof both the Yuli and Taitung networks are consistent with the direction of the maximum compressive stress of this area. Furthermore, average velocities of the relative motion between geodetic stations in the Central Range and the Coastal Range are estimated from the average rates of changes in line length. Stations in the Hualien network show a left-lateral relative motion in a direction more or less parallel to the strike of the Longitudinal Valley, while stations in the Yuli and Taitung networks move toward each other in the direction approximately perpendicular to the trend of the Longitudinal Valley.  相似文献   

18.
To investigate the impacts of mineral composition on physical and mechanical properties of carbonate rocks, limestone specimens containing different contents in calcite and dolomite are selected to perform CO2-water-rock reaction experiments. The X-ray Diffraction (XRD) and Nuclear Magnetic Resonance (NMR) are carried out to examine the change characteristics of mineral dissolution and pore structure after reaction. The core flooding experiments with Fiber Bragg gratings are implemented to examine the stress sensitivity of carbonate rocks. The results show that the limestones containing pure calcite are more susceptible to acid dissolution compared to limestone containing impure dolomite. The calcite content in pure limestone decreases as the reaction undergoes. The dissolution of dolomite leads to the formation of calcite in impure limestone. Calcite dissolution leads to the formation of macropore and flow channels in pure limestone, while the effects of impure dolomite in impure limestone results in mesopore formation. When confining pressure is lower than 12 MPa, pure limestones demonstrate higher strain sensitivity coefficients compared to impure limestone containing dolomite after reaction. When confining pressure exceeds 12 MPa, the strain sensitivity coefficients of both pure and impure limestones become almost equal.  相似文献   

19.
徐州贾汪地区中—上寒武统藻礁,风暴层与海平面变化   总被引:5,自引:1,他引:4  
彭阳  乔秀夫 《地质论评》1999,45(2):193-207
笔者详细研究了徐州贾汪地区中-上寒武统的二郎山等剖面,将张夏组-凤山组划分为3个各具特色的三级层序,根据各层序内副层序的堆叠形式进一上划分出海侵体系域(TST)凝缩段(CS)及高位体系域(HST)其中张夏层序的藻礁为中-晚寒武世期间发育的最大规模碳酸盐岩缓坡藻礁,崮山层序凝胶缩代表中-晚寒武世最大海泛(海侵)期沉积,长山-凤山层序顶部白云岩代表中-晚寒武世最小海平面(海退)时期的沉积。  相似文献   

20.
The axial, crack and total volumetric strains, porosity, elastic constants, crack damage stresses, uniaxial compressive strengths, as well as fracture apertures and number of fracture traces in rock samples surface after compression were defined for different chalk, basalt, dolomite, granite, limestone and sandstone samples exhibiting negative total volumetric strain at failure. It is established that the total (summed) aperture of vertical fractures obtained on the lateral surface of rock sample is related to three characteristic strain parameters: axial strain at the onset of negative total volumetric strain, axial failure strain and negative total volumetric strain at failure. The relation is based on Descartes folium equation, where the length of the loop of folium is equal to axial strain coordinate at the onset of negative total volumetric strain. This relation shows that the total aperture increases according to power law with increasing difference between axial failure strain and axial strain at the onset of negative total volumetric strain. Simultaneously, an increase in this difference leads to an increase in the value of negative total volumetric strain at failure. It is found that a direct correlation between total aperture of fractures and negative total volumetric strain at failure is relatively weak. Nevertheless, total aperture of fractures tends to increase with increasing absolute value of negative total volumetric strain at failure. It is revealed that there is no connection between the number of fracture traces and negative total volumetric strain at failure.  相似文献   

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