STATISTICALLY FRACTAL STRENGTH THEORY FOR BRITTLE MATERIALS

Based on the hypothesis of the fractal distribution of crack sizes in brittle materials and the weakest link principle, the relationship between the fractal dimension of the size-frequency distribution of cracks and the Weibull Modulus is derived, which reveals the geometrical nature of the Weibull Modulus. The influences of the size distribution and the orientation distribution of cracks as well as the irregularity of the crack propagation on the strength are all taken into account. Finally, a general expression for the statistical strength of brittle materials in complex tensile stress state is obtained.

NON-LOCAL CONTINUUM MODEL AND ITS NUMERICAL SIMULATION FOR LOCALIZATION PROBLEM

A non-local continuum model for strain-softening simply takingplastic strain or damage vari- able as a non-local variable isderived by using the additive decomposition principle of finitedeformation gra- dient. At the same time, variational equations,their finite element formulations and numerical convolutedintegration algorithm of the model in current configuration usuallycalled co-moving coordinate system are given. stability andconvergence of the model are proven by means of the weak convergencetheorem of gen- eral function and the convoluted integration theory.

Fractal classification and natural classification of coal pore structure based on migration of coal bed methane

According to the data of 146 coal samples measured by mercury penetration, coal pores are classified into two levels of 【65 nm diffusion pore and 】65 nm seeping pore by fractal method based on the characteristics of diffusion, seepage of coal bed methane(CBM) and on the research results of specific pore volume and pore structure. The diffusion pores are further divided into three categories: 【8 nm micropore, 8-20 nm transitional pore, and 20-65 nm mini-pore based on the relationship between increment of specific surface area and diameter of pores, while seepage pores are further divided into three categories: 65-325 nm mesopore, 325-1000 nm transitional pore, and 】1000 nm macropore based on the abrupt change in the increment of specific pore volume.

Influence of liquid water on coalbed methane adsorption:An experimental research on coal reservoirs in the south of Qinshui Basin

Using Isothermal Adsorption/Desorption System Model IS-100 and Electrohydraulic Servo Rock System Model MTS815 as the main apparatuses and collecting samples from the major coal reservoirs in the south of Qinshui Basin, a hot point region of coalbed methane exploration, the paper carries out systematical comparisons of the isothermal adsorption experimental data for injection water coal samples, equilibrium moisture samples and dry coal samples, probes and establishes an experimental method of injection water coal sample preparation and isothermal experiment to simulate real reservoir conditions, and then summaries the experimental regulations and discusses the mechanism of liquid water influencing coal methane adsorption. Results of the experiment indicate that: The Langmuir volume of injection water coal samples is notably larger than that of equilibrium moisture samples, as well as larger than or equivalent to that of dry coal samples; the Langmuir pressure of injection water coal samples is the highest, the next is equilibrium moisture samples, while the dry samples is the lowest, of which the experimental results of injection water samples to simulate real reservoir conditions are more close to the fact. Under the conditions of in-position reservoirs, liquid water in coals has evident influence on methane adsorption ability of coal matrix, which can increase the adsorbability of coal and make the adsorption regulation fit to Langmuir model better. Its major reason is the increase of wetting coal matrix adsorbability. The above experimental results overthrow the conventional cognition that liquid water has no influence on coalbed methane adsorption, which may lead to an improvement of the coalbed methane isothermal adsorption experimental method and of the reliability of coalbed methane resource evaluation and prediction.

Study on the AVO forward modeling of coal bearing strata

Based on the AVO theoretical modeling of the coalbed, this paper analyzes the AVO characteristics and influencing factors of the coalbed P-P reflection wave. On the top interface of the coalbed, the P-P reflection wave absolute value of reflective coefficient decreases when the incidence angle increases between 0 and 60 degrees, and then increases gradually. On the bottom interface of the coalbed, the total reflection occurs rather strikingly because the incident wave propagates from low impendence media to high one. And for the soft and fractured coal in particular, such a phenomenon takes place even at an incidence angle less than 15 degrees. So the reflection characteristics of the coalbed bottom interface are not conducive to AVO analysis. AVO response is closely relative to the coal structure, and AVO intercept and gradient of top interface of the coalbed reflection wave increases when the coal structure is destroyed severely. For coalbeds of the same coal structure, AVO intercept and gradient of the coalbed top interface with the sandstone roof is greater than that with the mudstone one. The tuning of coal-bed thickness has adverse influence on coalbed AVO attributes analysis obviously. Those AVO characteristics of coalbed are shown further by modeling from Well 9-10-15 and Well 10-E-3 in Huainan coalfield, China.

Experimental exploration to thermal infrared imaging for detecting the transient process of solid impact

Based on the analysis and the comparison of stress pattern analysis by thermal emission (SPATE) and remote sensing rock mechanics (RSRM), the idea to detect the transient process of solid impact with thermal infrared (TIR) imaging technology is introduced. By means of TVS-8100MKII TIR imaging system, which has high recording speed, high space distinguishability and high temperature sensibility, TIR imaging experiments on free falling steel ball impacting on marble, granite, concrete, steel, organic-glass and wood plate are conducted. It was discovered that: (i) the target’s TIR temperature increases remarkably after impact; (ii) when ball’s size is not changed, the variation amplitude of target’s TIR temperature proportionally increases with the ball’s potential energy or falling height; (iii) the variation amplitude of target’s TIR temperature is involved with the material type and the surface glabrous condition of the target, and the amplitudes are in order as concrete, unpolished marble, steel plate,

Bijective maps preserving commutators on a solvable classical group

Let F be a field, T n the group consisting of all n × n invertible upper triangular matrices over F . In this article we classify bijective maps φ from T n to itself satisfying φ[x, y] = [φ(x), φ(y)]. We show that each such map differs only slightly from an automorphism of T n .

Detection of coalbed fractures with P-wave azimuthal AVO in 3-D seismic exploration

The detection of fractures is important for production and safety in coal fields. Subsurface fractures result in azimuthal anisotropy of the seismic wave, and the amplitude of reflection wave varies with offset and azimuth. In case of weak anisotropy, the reflection coefficients of P-wave are concisely denoted as the analytic function of fracture parameters. For the purpose of predicting the coal-bed fracture distribution through analyzing variation of the reflection amplitudes with offset and azimuth, 3-D seismic data with full-azimuth were acquired in a coal field in Huainan, Anhui Province. The careful analysis and process of seismic data showed that the reflection amplitude of the primary coalbed varied with azimuth in much consistent with the theoretical model. The conclusion was drawn that the coal-bed fracture in this coal field could be predicted through the method of the P-wave azimuthal AVO.

Modes of occurrence of arsenic in high-arsenic coal by extended X-ray absorption fine structure spectroscopy

The concentration ranges of As and Sb in six Late Permian high-arsenic coals collected from Xingren and Xingyi, Guizhou Province are 94.1 μg·g -1-3 2 and 8 1 μg·g -1-120 μg·g -1, respectively. Based on the mineralogical analysis, no arsenic and arsenic-bearing minerals are detected in these samples and arsenic occurs in coal macerals. By extended X-ray absorption fine structure(EXAFS) spectroscopy, we have found that arsenic in these high-arsenic coal samples coordinates with oxygen; the coordination number of As with oxygen for these samples is 4 except one sample(H-9) for which the coordination number of As is 3. Therefore, arsenic in these high-arsenic coals does not occur in sulfide minerals, but occurs in arsenate or arsenite phase, and the preponderance of As is in arsenate of As 5+.