Arch. Min. Sci., Vol. 54 (2009), No 2, p. 189–201
Transkrypt
Arch. Min. Sci., Vol. 54 (2009), No 2, p. 189–201
Arch. Min. Sci., Vol. 54 (2009), No 2, p. 189–201 189 Electronic version (in color) of this article is available: http://mining.archives.pl MARIUSZ MŁYNARCZUK*, MIROSŁAW WIERZBICKI* STEREOLOGICAL AND PROFILOMETRY METHODS IN DETECTION OF STRUCTURAL DEFORMATIONS IN COAL SAMPLES COLLECTED FROM THE ROCK AND OUTBURST ZONE IN THE “ZOFIÓWKA” COLLIERY METODY STEREOLOGICZNA I PROFILOMETRYCZNA WYKRYWANIA ZABURZEŃ STRUKTURALNYCH WĘGLI KAMIENNYCH NA PRZYKŁADZIE PRÓB POBRANYCH Z REJONU WYRZUTU SKALNO-GAZOWEGO W KWK “ZOFIÓWKA” Deformations of coal structure affect the major parameters of the gas-coal system, such as gas bearing capacity, desorption kinetics or cohesion. Those factors, in turn, determine the methane hazard and rock and gas outburst conditions in collieries. To get a better insight into these phenomena, coal samples were collected from the side walls in the coal and methane outburst zone in a loading gate D-6 on the coal seam 409/4 in the “Zofiówka” Colliery (Poland). The samples were analysed to identify and describe structurally deformed coals. The stereological analysis revealed the presence of sheared and fissured coal in the region adjacent to the fault in an end gate and to a cavern produced during an outburst. Such coal structure encourages gas accumulation and prompts quick gas release in the condition of sudden pressure changes. This study briefly outlines the new measurement method enabling us to detect coals with this structure. The method makes use of laser profilometry to analyse the morphology of the coal sample surfaces. It appears that the method is adequate to detect the zones of structurally deformed coal. Unlike stereological methods, the new method does not require extensive preparations or lengthy calculation procedures, which appears to be its major advantage. Keywords: mylonitic coal, methane hazard, rock and gas outburst hazard, stereology, profilometry Analiza literaturowa publikacji dotyczących wyrzutów gazów i skał wskazuje, że jednym z istotnych czynników wpływających na wzrost zagrożenia metanowego i wyrzutowego jest występowanie węgla o strukturze odmienionej (przetartej, zmylonityzowanej). Węgle te charakteryzują się gęstą sieci spękań wewnętrznych, rozbudowaną strukturą, małą zwięzłością i wysoką pojemnością gazową. Aktualnie brak jest efektywnych metod wykrywania tego typu struktur. Występowanie węgla odmienionego strukturalnie było jedną z przyczyn wystąpienia wyrzutu metanu i skał w KWK „Zofiówka” w roku 2005 (Jakubów i in. 2006). W pracy przedstawiono dwie metody wykrycia i opisu węgla o strukturze przetartej a przedstawione * STRATA MECHANICS RESEARCH INSTITUTE OF THE POLISH ACADEMY OF SCIENCES, REYMONTA 27 STR. 30-059 KRAKOW, POLAND; E-MAIL: [email protected], [email protected] 190 wyniki dotyczą badań wykonanych na próbkach węglowych pobranych w rejonie uskoku, w bezpośrednim sąsiedztwie kawerny wyrzutowej w KWK ”Zofiówka”- rys. 1. Dla każdej próbki przeprowadzono analizę punktową w trakcie której identyfikowano ślady następujących obiektów: kleju, witrynitu (V), inertynitu oraz liptynitu, (I+L), mylonitu (M), spękań na witrynicie (Fr(V)), spękań na inertynicie oraz liptynicie (Fr(I+L)), spękań na mylonicie (Fr(M)) oraz substancji nieorganicznych (N). Przykłady węgla nieodmienionego strukturalnie oraz węgla zmylonityzowanego pokazano na rys. 2. Wyniki analizy stereologicznej przeprowadzonej dla wszystkich pobranych prób węgla prezentuje tabela 1. Próby pobrane w bezpośrednim sąsiedztwie uskoku i kawerny powyrzutowej charakteryzuje duży udział objętościowy mylonitu. W pozostałych próbkach węgla, mylonit występuje jedynie w ilościach śladowych. Udział mylonitu w całości substancji węglowej widocznej na poszczególnych zgładach pokazano na wykresie z rys. 3. Obliczono również gęstość spękań na węglu odmienionym (mylonicie) oraz na całej strukturze węgla. Wyniki obliczone ze wzorów (1-2) przedstawione w tabeli 2 pokazują, że węgiel pobrany w rejonie szczeliny uskokowej posiada o rząd większą ilość spękań niż węgiel pobrany w pewnej odległości od niej. Druga, nowo zaproponowana metoda, oparta jest na wykorzystaniu profilometrii laserowej w celu analizy ukształtowania powierzchni próbek węgla. Do odwzorowania powierzchni z opisanych uprzednio próbek węglowych użyto profilomierz laserowy zaprojektowany i zestawiony w Instytucie Mechaniki Górotworu Polskiej Akademii Nauk (Młynarczuk, 2004). Zmierzono pola o wielkości 256x256 punktów oddalonych od siebie o 20μm. W celu wyróżnienia składowej chropowatości zmierzonych powierzchni, otrzymane dane filtrowano filtrami sekwencyjnymi przemiennym o rozmiarze 10 punktów (200 μm). W prezentowanych badaniach użyto odmiany wariogramu zwanej madogramem (Emery, 2005), zdefiniowanej równaniami (7) i (8) . Na rysunku 4 pokazano wykresy madogramów dla badanych węgli. Progi madogramów dla węgli o strukturze odmienionej plasują się poniżej madogramów dla węgli nieodmienionych. Nieco odmienny jest madogram próbki L4 związany jest prawdopodobnie z występowaniem dużych ilości wtrąceń substancji nieorganicznych (patrz tabela 1). Jeżeli wyeliminujemy tą próbkę z madogramu (rys. 5), różnice pomiędzy węglami odmienionymi strukturalnie a nienaruszonymi stają się dużo bardziej widoczne. Wykazano, że metoda ta doprowadzić może do wykrycia stref węgla o strukturze przetartej. Jej zaletą jest fakt, że nie wymaga ona długiego etapu przygotowawczego i żmudnych zliczeń jak ma to miejsce we wspomnianej wcześniej analizie stereologicznej. Tego typu badania, przy zastosowaniu odpowiedniego (iskrobezpiecznego) sprzętu można wykonać bezpośrednio na ociosie, lub np. w otworach wyprzedzających. Autorzy uważają, że proponowane badania strukturalne węgla mogą być przydatne w prognozowaniu i ocenie stanu zagrożenia metanowego oraz wyrzutami metanu i skał dlatego też wymagają one dalszego rozwinięcia. Słowa kluczowe: węgiel zmylonityzowany, zagrożenie metanowe, zagrożenie wyrzutami węgla i gazu, stereologia, profilometria 1. Introduction Hazardous conditions are inherent in mining. Natural hazards encountered by Polish miners include the presence of gas in coalbeds. After the closure of several collieries in the Lower Silesia Coal Basin in the 1990s, the major hazard becomes the presence of coalbed methane, which might also lead to rock and methane outbursts. As the mining depth increases (at the average rate of 5-8 m/year), the methane bearing capacity of coal beds being mined increases too, further enhancing the hazardous conditions. Key issues associated with methane emissions in the mining sector world-wide are outlined by Bibler et al. (1998). 191 Natural hazards associated with the presence of methane are continuous and, to a large extent, predictable (methane hazard category, methane forecasts for the developed or currently operated longwall face or mine working). In such situations adequate preventive measures can be put in place to control the methane risk. The organisational and technical aspects include: effective ventilation preventing too high methane concentrations, methane flow measurements, degassification strategies, sealing of rock strata around the mine working. These issues are addressed in more detail elsewhere (Branny and Filipek 2008; Su et al., 2008). There are also regions in the rock strata that are categorised as “high –risk’ zones where the methane emission and rock and gas outburst hazard levels are elevated. These spots, commonly referred to as “gas traps”, “gas nests” or “gas pockets” are characterised by an enhanced gas-bearing capacity and higher gas pressure whilst coal in that region has physical, mechanical and structural properties different from the neighbouring strata. Such spots, typically encountered in the faulted zones might be the cause of mining disasters, such as gas and rock outburst in the “Zofiówka” Colliery (Jakubów et al. 2006) and might impair the drifting activities (Tor et al., 2007) or lead to abrupt changes of methane bearing capacity of mine workings. A through examination of publications on the subject on rock and gas outbursts reveals that the occurrence of sheared coal zones is to be treated as major factors responsible for the enhanced methane and outburst hazard (Li et al. 2003). Cao et al. (2003) classify coals in terms of the destruction level of its internal structure, distinguishing the following coal categories: normal, cataclastic, granular and mylonitic. Investigations of rock and gas outbursts in the Pindingshan Coalfield (China) revealed that outbursts occur only in deformed coal layers with granulated or mylonitic microstructure coals. These granular or mylonitic coals are now referred to as outburst-prone coals. Hazards associated with the occurrence of coals with deformed structure are discussed by Beamish and Crosdale (1998) and Shepherd et al. (1981). Basing on the research data from China, Cao et al. (2001) assert that nearly all outbursts occur in structurally deformed regions because mylonitic coals there are unstable, mechanically non-resistant and their gas bearing capacity is enhanced. These researchers suggest that most perilous outburst hazard arises when the thickness of a tectonically deformed stratum should exceed 0.8 m. Williams and Weissman (1995) showed the schematic diagram of gas pressure changes and stress variations in the strata surrounding the mine work “approaching’ the mylonitic coal zone. They hold the view that when the distance is reduced between the end gate and the mylonitic coal zone, the stress levels tend to increase and an artificial pressure gradient is produced in the proximity of the end gate. According to them, breaking the protective barrier becomes a direct cause of an outburst. Wang and Yang (1980) suggest that high gas bearing capacity displayed by outburst-prone coals might be attributable to large adsorption surface area, associated with structural deformations and tectonic stresses. Cao et al. (2000) found out that shearing zones, present mostly in the faulted regions, are largely responsible for outbursts and other natural phenomena; however, no 192 adequate detection methods were available yet. The very name “gas trap” suggests it to be a dangerous and hard- to- locate spot. The lack of reliable methods for detecting shear zones is also commented on by Hargraves (1983), Zhang (1992) and Beamish and Crosdale (1998). The occurrence of sheared and deformed coals caused the outburst in the loading gate D-6 on the coal seam 409/4 in the colliery “Zofiówka” (Sprawozdanie Komisji, 2006). Stereological analysis of burst rock reported by Wierzbicki and Młynarczuk (2006) reveal the presence of mylonitic coal. The presence of such substances there suggest they must come from the vicinity of the cavern. To measure how far this coal type can be found, coal samples were analysed collected from the fault zone. Two methods were used to detect and describe this microstructure: the first method utilises the conventional stereological approach, the latter method makes use of laser profilometry to examine the surface of coal samples. 2. Sample collection and preparation of microsections Coal for tests was collected in the form of lumps from the loading gate D-6 on the coal seam 409/4 in the Zofiówka Colliery, where a methane and gas outburst occurred in 2005. There were two faults in the proximity of the cavern. The fault fissure were about 30 cm in width. The plane of the first fault was inclined at 30-40° in the NW direction, the inclination angle of the other plane was 75-85° (NW). The rough sketch is shown in Fig. 1. Fig. 1. Sketch of a loading gate D-6 on the coal seam 409/4 with indicated sample collection points 193 Samples (Fig. 1) were collected for the purpose of the research program at the front end (sample L11), from the fault in the side wall on the right (samples L3, L4, L6, L9) and from the side wall on the right at the distance of 5.6, 9.8 and 13 m from the front end (samples: L12, L13, L14). Because of the risk of roof roughing-out, no samples were collected in the direct vicinity of the outburst cavern. 3. Sterelogical analysis of coal samples To permit the point-by-point stereological analysis, the collected samples were crushed, the grains 0.5-1 mm in size were selected and covered with glue. Microsection samples were then prepared and used in measurements. The program uses an AXIOPLAN polarisation microscope (Zeiss) and a computer-controlled table XYZ. Samples for observations were magnified 200 times, in accordance with the recommendations set forth in the standard PN-ISO 7404-3. The point-by-point analysis was carried out for each microsection, using a square 50 × 50 grid, the mesh distance being 0.3 mm, yielding 2500 measurement points per one microsection. The analysed area was 14.7 × 14.7 [mm]. Microscopic observations distinctly reveal the presence of two entirely different coal structures: normal microstructure structure (non-deformed), Fig 2a, and that displaying a dense network of internal fissures and extended structure (Fig 2b). This coal type is referred to as structurally deformed or mylonitic coal. a) b) Fig. 2. Analysed coal samples: a) undisturbed coal; b) structurally deformed coal Further analysis identified the following substances and features: glue (neglected in further considerations), vitrinite (V), inertinite and liptinite (I+L), mylonite (M), vitrinite fissures (Fr(V)), fissures in inertinite and liptinite structures Fr(I+L)), fissures in mylonite (Fr(M)) and inorganic substances (N). 194 Data obtained from stereological analysis are compiled in Table 1. TABLE 1 Results obtained from stereological point analysis of coal samples – compilation No. Structure 1 2 3 4 5 6 7 V Fr(V) I+L Fr(I+L) M Fr(M) N L3 L4 L6 25,00 4,50 6,00 0,00 41,25 23,25 0,00 29,85 10,97 9,44 0,26 27,55 5,10 16,84 13,03 2,73 5,46 0,00 49,79 28,99 0,00 Volume fraction [%] L9 L 11 29,30 6,97 6,35 0 40,98 16,39 0 82,36 2,52 13,37 0,00 0,97 0,58 0,19 L 12 L13 L14 82,41 0,98 14,41 0,00 1,47 0,65 0,08 79,84 3,33 12,13 0,2 2,15 1,96 0,39 80,90 3,49 13,55 0 0,82 0,41 0,82 The analysis revealed the presence of trace amounts of inorganic substances in all examined samples except L4, which was collected in the direct proximity of the fault fissure. It displays the structure of a tectonic break, where coal bits adhere to crushed rock material. Analysed coal samples fall in two distinct categories. Samples from the side wall, collected in the direct vicinity of the fault and an outburst cavern (samples L3, L4, L6, L9) contain a large volume fraction of mylonitic coal. The remaining coal samples: those collected at the front end near the left wall (L11) and behind the front gate (L12, L13, L14) featured only trace amounts of structurally deformed coal. The graph in Fig. 3 shows the volume fraction of mylonitic coal in the entire coal substance for the analysed samples. This parameter is derived from the equation: PM (C ) = M + Fr ( M ) V + ( I + L ) + M + Fr (V ) + Fr ( I + L ) + Fr (M ) × 100 % (1) The presence of fissures is a major determinant of gas-bearing capacity and gas desorption kinetics of coal so the volumetric fraction of fissures on mylonite PFr(M) and on the whole coal structure were computed accordingly. Calculation results obtained from equations (1) and (2) are compiled in Table 2. PFr ( M ) = PFr (C ) = Fr ( M ) × 100 % M + Fr ( M ) Fr (V ) + Fr ( I + L ) + Fr (M ) V + ( I + L ) + M + Fr (V ) + Fr ( I + L ) + Fr ( M ) (2) × 100 % (3) Volume fraction of structurally deformed coal [%] 195 80.00 70.00 60.00 50.00 40.00 30.00 20.00 10.00 0.00 L11 L4 L3 L6 L9 L12 L13 L14 Sample Fig. 3. Volume fraction of deformed substance in the analysed coal samples TABLE 2 The volume fraction of fissures in mylonitic coal and in the entire coal structure No. 1 PFr(M) [%] 2 PFr(C) [%] L3 L4 L6 L9 L11 L12 L13 L14 36.05 27.75 15.63 19.63 36.80 31.72 28.57 23.36 37.5 3.11 30.77 1.63 47.62 5.50 33.33 3.93 Table 2 shows that the proportion of fissures in coal collected in the vicinity of the fault fissure is by an order of magnitude higher than in coal collected at some distance from the fault. The average volume fraction of fissures PFr(C) for these two coal types are 25.62% and 3.54%, respectively. The average volume fraction of fissures in the rock mass after an outburst would range from 7.3% to 13.2% (Wierzbicki & Młynarczuk, 2006). It appears, therefore, that burst mass contains a mixture of structurally deformed and non-deformed coals. 4. Analysis of surface morphology of coal samples The results indicate that coal structure becomes deformed when approaching the tectonic disturbance region. The applied research method, though leading to interesting results, is not widely employed in the outburst control schemes as it requires time-consuming and cumbersome microscopic measurements (Bodziony et al., 1990). Within the framework of the research program a new method was sought that would facilitate the procedure and permit us to detect differences in coal structure in the vicinity of the faults. It appears that coal roughness analysis could be used as such method. 196 The analysis of coal surface morphology suggests that mylonitic coal should display slightly different surface morphology than undisturbed coals. The research program was undertaken to verify this hypothesis. 4.1. Waviness and roughness Many researchers dealing with fracture surface distinguish the relevant components of waviness and roughness of analysed surfaces and profiles. This approach is also recommended by the standard PN-EN ISO 4287. One of the major drawback of this approach, however, is the definition of a filter defining the boundary between roughness and waviness. The influence of the filter magnitude on variations of basic parameters of linear roughness specified in ISO is explored by Gurau et al. (2006). Problems associated with profile filtering using standard filters are addressed in the works by Trumpold and Heldt (1998), the main emphasis being on 2D filtering. Filtration using the Fourier transform is investigated by Hocheng and Hsieh (2004) and the applications of the wavelet method are explored by Chen et al. (1999). Recently new data filtering methods have appeared. Chen et al. (1998) propose their own model of 3D filtering. Others resort to find the roughness component using morphological filtering with the use of sequential alternating filters (Serra 1988). The rationale behind this procedure is that it yields the wavy component. Furthermore, it is assumed that when thus obtained wavy component is subtracted from the analysed fracture surface, another component is obtained that might be regarded as the roughness component. The major step involves the selection of the filter size to separate the wavy and roughness components. Though the selection process determines the final result of this analysis, it often remains subjective. Its adequacy might can be verified to some extent by the quality of final results. 4.2. Variogram and madogram Roughness analyses widely use the variogram function (Herzfeld & Overbeck, 1999; Kwaśniewski & Wang 1997; Młynarczuk 2004). In practical applications the variogram is obtained from the formula: 2g (h , a ) = 1 N N å (Z (xi ) - Z ( xi + h )) 2 (4) i =1 Three characteristic variogram parameters are considered (see Fig. 4): when the variogram increases not from zero, but from a certain level, this level is referred to as the nugget value; the value at which the function ceases to increase is called the sill and the stretch from zero to the sill is referred to as the range of a variogram. In the case of semi-variogram analysis (i.e. the function γ(h,α)) the mathematical interpretation of major parameters is as follows: the nugget effect expresses the variability 197 of the physical quantity under consideration with the scale smaller than the sampling interval; the sill is approximately equal to the sample variance whilst the range expresses the largest value of the parameter h at which the sampled values are mutually correlated (Usowicz & Usowicz, 2004). g(h, a) sill range nugget effect h Fig. 4. Characteristic parameters of a variogram The research program uses a version of a variogram known as a madogram (Emery 2005). The madogram function is defined similar to the variagram but the squared difference (Z(xi)-(xi+h)) is replaced by the absolute value expression. Furthermore, in the research program reported here madograms were obtained for surfaces that are mapped through measurements of M parallel lines with the use of laser profilometer: 2g1( h , a ) = 1 M ×N M N åå j =1 i =1 Z ( xi , j ) - Z ( xi , j + h ) (5) 4.3. Results obtained from the analysis of the coal samples roughness The samples were prepared from the material collected at each point specified in previous sections, thus prepared samples were measured with the use of laser profilometer. Sample surfaces were mapped with the use of a laser profilometer designed and assembled in the Strata Mechanics Research Institute of the Polish Academy of Sciences (Młynarczuk, 2004). Measurements were taken of the fields 256 x 255 points with 20 μm 198 spacing, which would yield 65536 control points distributed over the field 5 × 5 mm. In order to distinguish the roughness components of the surfaces being measured, thus obtained data were filtered using sequential alternating filters 10 points in size (200 μm). Data filtering was supported by the dedicated software for image analysis and mathematical morphology. The profile measurement data are represented in the form of a bitmap. This representation is possible since the fracture surface was mapped over the square area and the applied step remained invariant throughout the measurement. Thus obtained results might be therefore represented as a bitmap whereby each datum is represented using one pixel whose position is associated with the numbering of measurements in the X and Y axis and the grey level is equal to the measured value at that point (in micrometers). Fig. 5 shows madograms obtained for the analysed coal samples and the relationship between the coal structure and obtained results now becomes apparent. The madogram sills for mylonitic coal samples are below those obtained for structurally undisturbed coals. Madograms of structurally undisturbed coals are slightly similar to that obtained for the sample L4, which contains large amounts of inorganic substances (see Table 1). It is reasonable to suppose, therefore, that the grains of these inorganic substances cause the sill to be elevated with respect to other mylonitic coal samples. When this sample is eliminated from the plot (Fig. 6), the difference between structurally deformed and undisturbed coals becomes more apparent. It is worthwhile to mention that the behaviour of sample L11 differs from other undisturbed coal samples, which might be attributable to the fact that it was collected at other point (Fig. 1). Madograms of the samples L12, L13 and L14 are particularly 50 L3 L4 L6 L9 L11 L12 L13 L14 2g1(h, a) 40 30 20 10 0 100 200 h [mm] 300 400 Fig. 5. Madograms obtained for coal samples collected from the outburst zone in the “Zofiówka” Colliery 199 50 L3 L6 L9 L11 L12 L13 L14 2g1(h, a) 40 30 20 10 0 100 200 300 400 h [mm] Fig. 6. Madograms obtained for coal samples collected from the outburst zone in the “Zofiówka” Colliery, except the sample L4 interesting. Apparently the sills in these madograms tend to decrease as the sample collection point is nearing the fault. The madogram range display a similar behaviour, although it is less noticeable. It is reasonable to expect that as the gate approached the fault, the coal structure would be changed and this change could be well detected by the proposed methods. Still, further research is fully merited to reliably confirm these observations. 5. Conclusions These analyses of coal structure are indicative of the presence of structurally deformed coal in the direct vicinity of tectonic disturbances in the loading gate D-6 on the coal seam 409/4 in the “Zofiówka” Colliery. The authors tend to believe that the presence of this coal, with fissured structure, became a major cause of the rock and gas outburst occurrence and determined the course of the whole process. This study outlines two methods used for detecting deformed coals. The conventional stereological approach yields the determine the interrelations between structurally deformed and undisturbed coals and allows for finding the volume fraction of the fissures in the analysed coal sample. A certain drawback of this method is that coal microsections have to be specially prepared, followed by time-consuming and cumbersome microscopic measurements. That is why the stereological method, though yielding good results, is rather rarely used. In this study a new method is proposed for evaluating the deforma- 200 tions of coal structure using profile measurements. The method consists in finding the roughness components of the sample surface and the analysis of madograms reveals the coal structure deformations, enabling us to reliably distinguish between deformed and structurally undisturbed coals. A major advantage of the new method over the stereological approach is that it does not require specially prepared coal samples. Furthermore, the method can be well employed both in situ and in the laboratory conditions. As the occurrence of deformed coals presents a major hazard to miners in gassy mines, the existing methane detection and control methods have to be constantly improved and new methods developed. The authors hold the opinion that the methods outlined in this study might vastly contribute to research on methane and outburst hazard. The investigations were supported by the Ministry of Science and Higher Education, Project No R09 027 02. References Beamish B., Crosdale P.J., 1998. Instantaneous outbursts in underground coal mines: An overview and association with coal type, International Journal of Coal Geology, 35. 27-55. Bibler C.J., Marshall J.S., Pilcher R.C., 1998. Status of worldwide coal mine methane emissions and use, International Journal of Coal Geology 35, 1998. 283-310. Bodziony J., Kraj W., Ratajczak T., 1990. Zastosowanie stereologii w badaniach struktury węgli dolnośląskich, (w:) Górotwór jako ośrodek wielofazowy – wyrzuty skalno-gazowe, red. J. Litwiniszyn, Wyd. AGH Kraków. Branny M., Filipek W., 2008. Numerical simulation of ventilation of blind drifts with a force-exhaust overlap system in the condition of methan and dust hazards, Archives of Mining Sciences, vol. 53, no. 2 s. 221-234. Cao Y., He D., Glick D.C., 2001. Coal and gas outbursts in footwalls of reverse faults, International Journal of Coal Geology, 48, 47- 63. Cao Y, Mitchell G.D., Davis A., Wang D., 2000. Deformation metamorphism of bituminous and anthracite coals from China, International Journal of Coal Geology, 43, 227-242. Chen C.C.A. Liu W.C. Duffie N.A., 1988. A Surface Topography Model for Automated Surface Finishing, Int.J. Mach. Tools Manufact., vol. 38, pp. 543-550. Chen Q., Yang S., Li Z., 1999. Surface roughness evaluation by using wavelets analysis, Precision Engineering 23, 209-212. Emery X., 2005: Variograms of Order ?: A Tool to Validate a Bivariate Distribution Model, Math. Geol. vol. 37, No. 2: 163-181. Gurau L., Mansfield-Williams H., Irle M., 2006. Filtering the roughness of a sanded wood surface, Holz als Roh- und Werkstoff 64: 363-371. Hargraves, A.J., 1983. Instantaneous outbursts of coal and gas: a review. Proc. Australas. Inst. Min. Metall. 285 (3) 1-37. Hargraves, A.J., 1993. Update on instantaneous outbursts of coal and gas, Proc. Australas, Inst. Min. Metall. 2, 3-17. Hocheng H., Hsieh M.L., 2004. Signal analysis of surface roughness in diamond turning of lens molds, International Journal of Machine Tools & Manufacture 44, 1607-1618. Jakubów A., Tor A., Wierzbicki M., 2006. Własności strukturalne węgla w rejonie wyrzutu węgla i gazu w chodniku transportowym D-6 pokład 409/4 KWK „Zofiówka”, Konferencja Naukowo-Techhniczna „Górnicze Zagrożenia Naturalne”. 201 Kwaśniewski M., Wang J.A., 1997. Surface roughness evolution and mechanical behavior of rock joints under shear, Int. J. Rock Mech. Min. Sci. 34(3/4):709. Lamberson, M.N., Bustin, R.M., 1993. Coalbed methane characteristics of Gates Formation coals, Northeastern British Colombia: effect of maceral composition, American Association of Petroleum Geologists Bulletin 77, 2062-2076. Lama R.D. Bodziony J., 1996. Outbursts of gas, coal and rock In under grand coal mines, R.D.Lama and Associates, Wolongong NSW, Australia. Li H., Ogawa Y., Shimada S., 2003. Mechanism of methane flow through sheared coals and its role in methane recovery, Fuel 82, 1271-1279. Młynarczuk M., 2004. Możliwości wykorzystania analizy obrazu i morfologii matematycznej do analizy stereologicznej struktur skalnych, Archives of Mining Sciences, vol. 49, s. 117-140. PN-EN ISO 4287. Struktura geometryczna powierzchni: metoda profilowa. Terminy, definicje i parametry struktury geometrycznej powierzchni. PN-ISO 7404-3. Metody analizy petrograficznej węgla kamiennego (bitumicznego) i antracytu. Metoda oznaczania składu grup macerałów. Serra J., 1988. Alternating sequential Filters, Image Analysis and Mathematical Morphology, Volume II, Theoretical Advances, ed. J. Serra, Academic Press. Shepherd, J., Rixon, L.K., Creasey, J.W., 1980. Analysis and prediction of geological structures associated with outbursts at Collinsville, Queensland. The Occurrence, Prediction and Control of Outbursts in Coal Mines Symposium, Australian Institute of Mining and Metallurgy, Parkville, Victoria, Australia, 159-171. Sprawozdanie Komisji powołanej Decyzją nr 27 Prezesa WUG z dnia 22 listopada 2005 r. dla zbadania przyczyn i okoliczności wyrzutu metanu i skał oraz wypadku zbiorowego zaistniałego w dniu 22 listopada 2005 r. w Jastrzębskiej Spółce Węglowej w KWK „Zofiówka” w Jastrzębi Zdroju, Katowice 2006. Su S., Chen H., Teakl P., Xu S., 2008. Characteristics of coal mine ventilation air flows, Journal of Environmental Management 86, 44.62. Tor A., Jakubów A., Wierzbicki M., 2007. Zagrożenie wyrzutem metanu i skał przy drążeniu wyrobisk korytarzowych w pokładzie 409/4 partia D KWK „Zofiówka”, Prace Naukowe GIG, Górnictwo i Środowisko, Nr IV/2007, Wydanie specjalne, str. 273-288, Katowice. Trumpold H., Heldt E., 1998. Why filtering surface profiles? Int. J. Mach. Tools Manufact. vol. 38, pp. 639-646. Usowicz B., Usowicz Ł., 2004. Punktowe pomiary wilgotności gleby a jej przestrzenny rozkład na polach uprawnych, Acta Agrophysica, 4(2), 573-588. Wierzbicki M., Młynarczuk M., 2006. Microscopic analysis of structure of coal samples collected after an gaz and coal outburst the gallery D-6, coal seam 409/4 in the „Zofiówka” coal mine (Upper Silesian Coal Basin), Archives of Mining Sciences, Vol. 51, No. 4. Wang, Y., Yang, S., 1980. Some characteristics of coal seams with hazard of outburst, J. China Coal Soc. 1, 47-53, Williams R.J., Weissmann J.J., 1995. Gas emission and outburst assessment in mixed CO2 and CH4 environments, Proc. ACIRL Underground Mining Sem. Australian Coal Industry Res. Lab. North Ryde. 12. Received: 21 January 2009