'. •*' <',• / " ^ -SV"*' ;, j( *' r , > 1 ' '' ^i^S: .?i^ VO ,t' . fL .^■^ .*'. " * o » - <5, ' % '< -^^o* o. <^. -""O^ .V .°: -^..^^ • -^^ A^ ' /^V^'<-_ '■^<'. c-?;^ »'^lfe'. -^^ 05- ' »: V *""* .« ^*V.' ^_ ^^ "^^ '^^m.^ . '^^^\ V ^- 'V .^^*' /aK\ ' ^^..^^ ' .^;(M>:'» 'V ./ /^% ^u^a'' ' /Mik^ X c/^ ^' ^^.-■•. -^ .^ 0^ '^ ^^w-,' . ^ ^% ^ -^^^^^ -J^ .ft, -ti v^^ • \.^^ . < o • ^<^'- -q, ^^TT.-^-.o^ -^a^ ,-^^\^:J^^\. ./..^:'>o ..■^^\*^:^/%. / -"'• ' .'< -^^o^ ^ ♦ -9." ■'-^0^ ^q,. ".V,." * -r %*> ".^ • '-^^0^ I <> * » o ' . ■^ ^°-n^. • 0° ♦ ay 'Hi. ■ o " » » '^ o, *.Tvr' A V '^ ". '>bV* :iM^^^ '^-Ac^i °. O 0^ i^ .''■••* < _ "' <*•>, A. •"- v./ i^M% 'U..-^^ y^iA'. \.J^ /^fe\ ^^..^^^ .'i^iA'o v./ *■ .0' .»LVL% V (* ^^ % ' A ■J. A^ » .^,. »^-^-: %,^* . 'bv ^°-"^. ^bV" , " « « » ^'•- \,.<^^\'»i^^\..//ate^ %.'^^ iMk'^ ''^^..<^' :^^-^^ %.A^\^'AM:''^^..^ G^ ^jj ♦;»w*', X v"^* "o>9' ' .^'\ -•^.-'-V ^°-v.. *bv* .■^ ♦J! V-0^ *^ .0 'bV ^'aO ' A O i> « • • , ^^. G^ -^o *.T^.T^ A 0° .1^:- °o • %/ »' 'bV o««, -^-o .' ^^^ ■^' ** X* ■^<» "• * A*- • %<^^ /'^ ..■K >. .-& A ^bv" .0 ^- ^ •^^ -^^0^ ^•1°^ .' <^K •$- A^ ♦ •^ -^^-^^^ A*^ ..^"« 'j^'i^ qv , " o • %.^^ ^^^ J ,0 ■ ->_ J-^-^K • ';^o^ A^" * *bv" '^0^ * o « o ■■ <5,> ,-i.* v_^;^'/'*'? >. ';'>^o- ^^'' '^a^T^r.^^ .Q> '"'i^J^TWy J-' ^^'-^r^^.^* cO -55 °<. c"""". c 1'', •* v-0^ V •^^^^^ 4 > ^^''.'--'^:% % ^^. .<^ ''^^ ^ ^ ^^^(>:^i\^^ .v-^^ ■;~eiii^; .^ ^0^ .'' ,0^ e . ^"^"-o " / "^o. j.--^^^ ^o' ^* V -^ ■ *w* * ** ■v ^<> • • 'tt. A^" /^V^"'. %. .c,'^" \/i^To- ,^^' ^bV" ^°-n^ O ^^ ^ av »j .... V -^hv^ :^m^^ -^^6^ f''^»". -^of v'^-v'!..%J?^*y^!.%7^^'i^^^ 4 o V _ o « o ^ *^ ,0^ ^3^ ■^7Y^^ A '•: %,** .•• b aT .^", ^ X.^"^ ^/^S o,' O ",,.'■ J. rr.'\o^ *bV^ '. -^^0^ », ' ^^ 1-v where ah = horizontal stress, Ih/ft', a^ = vertical stress, Ib/ft^ and V = Poisson ratio for the rock, unitless. For this discussion of the influence of opening dimensions on the formation of stress concentrations around the periphery of mine openings, the in situ stress state results from gravitational effects. Isotropic material and the effects of linearly elastic properties can be assumed, and the deformation of the rock may be analyzed as a plain strain system. Since the vast majority of coal mine entries in the United States are rectangular in cross section, the basic rectangular shape is the only shape considered in this discussion. It is shown later in the section "Mine Design Changes," that changes from rectangular to other shapes may prove to be an effective control measure. Variations within the fundamental rectangular shape can have an effect on stress concentrations along the periphery of an opening for a given stress environment, thus influencing failure propagation. For this reason, isolated single openings will be considered first. Later, the interaction of multiple-entry configurations both in single and multiple-seam scenarios will be discussed. Single Openings Figure 5 illustrates an estimation of the stress distribution around the periphery of rectangular openings having width-to-height (W/H) ratios ranging in value from 1 to 3. The figure was constructed from a finite-element analysis using the conditions outlined at the beginning of this section. In general, the models can be interpreted by taking particular note of the areas that have the greatest density of contour lines. These areas of high stress concentrations are the most probable areas for failure. The stress distribution is illustrated by two different contour lines: (Da solid line representing equal values of the ratio of the maximum secondary principal stress, at the points through which the contour passes, to the maximum stress applied to the model and (2) a dashed line representing the ratio of the minimum secondary principal stress to the maximum stress applied to the model. It will be shown that the location and orientation of the failure plane is actually a function of the shear stress that develops as a result of the difference between the principal stresses. The numbers in figure 5 at the entry opening corners, and midspan of roof and floor are numerical approximations of the ratio of maximum secondary principal stress for that immediate area of the model to the maximum applied stress. The values calculated for these areas are not to be directly applied to the in-mine environment but are provided only to give an indication of the increasing magnitude of the stress concentrations as the shape of the opening changes. Figure 5 demonstrates that for increasing W/H ratios, the stress increases in the corners of the entry, while the midspan is essentially under no stress. The opening most representative of presently operating underground coal mines is shown in figure 5C with a W/H ratio of 3 -(Th A. -p- = l — CTy ) [Coal o-h C, HORIZONTAL STRESS GREATER THAN VERTICAL STRESS Figure 8. — Qualitative example of influence of horizontal-to- vertical-stress ratio on angle of failure propagation. (Courtesy N. P. Kripakov) Plane of max shear stress Figure 9. — Analysis of elemental components of angle of failure as related to stress environment and rock properties. [Adapted from Kripakov (27)] failure. Rock properties are discussed later, in the section "Rock Mass Characteristics." Regional Stresses Basically, there are two stress cases that have a direct influence on the formation of cutter roof failure in coal mines: tectonic stress and differential gravitational stress, both of which can often be identified by recognizing patterns of failure from a minewide perspective. Control measures and evasive measured are different for each case. Stresses that are a result of tectonic forces often display characteristics that suggegt regional influence and are discussed as regional stresses. Stresses that are a Table 1. — Maximum shear stress values and analysis of failure Condition Stress (cr), psi IWaximum Minimum Angle from horizontal to maximum principal stress (28), deg Maximum shear. psi Angle from vertical to plane of maximum shear stress (if), deg 1,120 1,099 1,022 19.52 19.72 21.45 919 744 693 41.57 44.47 44.38 1,109 1,055 975 20.54 24.41 28,42 As mined: 17-ft entry width -930 16-ft entry width -924 Pillar softening, 3-tt depth at roof line . . -814 Slot at roof line: 3 by 12 in 68 3 by 24 in 11 3 by 36 in 42 Slot at pillar midheight: 3 by 12 in -868 3 by 24 in -638 3 by 36 in ^19 Source: Adapted from Kripakov (27). -3,170 -3,121 -2,857 -1 ,770 -1 ,476 -1 ,343 -3,085 -2,748 -2,368 64.52 64.72 66.45 86.57 89.47 89.38 65.54 69.41 73.42 result of differential gravitational loading are discussed under the heading "Stress Concentrations Beneath Stream Valleys." Stresses of tremendous magnitude have been known to exist in the Earth's crust ever since the earliest geologists recognized that mountains are the result of massive regional uplift. The fact that the horizontal component of these stresses is rather uniform with respect to orientation, over vast areas of continents, can be easily demonstrated by the curvilinear trend of the Appalachian Mountains or most other mountain chains. In coal mines of the United States, the influence of these regionally high in situ horizontal stresses has been recognized since at least the 1930's (42) and is currently the focus of much research. Probably the most conspicuous and most often cited sjrmptom of regionally high horizontal stresses in coal mines is that cutter roof failure occurs most frequently in one particular orientation (i.e., in either the main headings or the crosscuts but not both). References to this phenomenon in the United States often make note of the fact that this type of unidirectional roof failure occurs mainly in northerly oriented headings (7-8, 25, 29). In many cases, it has been found that this northerly direction is subperpendicular to the major principal horizontal in situ stress. Figure 10 demonstrates the regional presence of excessively high horizontal in situ stress across the United States as compiled by Aggson (2). Table 2 gives the actual values of the stress for the various locations. Of particular interest is the fact that most of the readings revealed a horizontal biaxial stress field with a maximum principal stress greater in magnitude than would be calculated in the usual manner (equation 2). [Engelder (13) has compiled more recent in situ stress data for the northeastern United States.] Figure 11 is a map of a portion of a mine in western Pennsylvania showing the locations of roof falls. The fact that the majority of roof falls occur along the same orientation suggests the influence of regionally high horizontal stresses where the difference in magnitude between the minimum and maximum secondary principal stresses is relatively large. Recognition of patterns of roof failure such as this can aid in determining whether the failure is a local or regional phenomenon and can eventually aid in selecting a control measure. In other instances where the in situ horizontal stress state is greater than the expected value from gravitation- al loading, there is little difference between the magni- tudes of the principal horizontal stresses. An example of this was reported on separately by Aggson (3) and lannacchione (23). Aggson conducted in situ horizontal Sell*, pal Figure 10. — Horizontal in situ compressive stress measure- ments in the United States. Stress fields are drawn to pressure scale (in legend), not to mileage scale. [Adapted from Aggson (2)] stress measurements by overcoring and found the horizon- tal stress to be at least three times the vertical stress at the Kitt Mine in northern West Virginia. However, only a 22-pct difference was found between the minor and major principal horizontal in situ stresses. lannacchione found little difference in the frequency of failure in crosscuts versus entries, through in-mine mapping that reconfirmed that the orientation of the entries was not influencing the formation of failure. Kripakov (27) also reported on cutter roof failure at the Kitt Mine. His research indicated that modification to the pillars, such as cutting slots in the pillar near the roof, would be necessary to effectively control the cutter problem (discussed further in the section "Mine Design Changes"). In short, it is very difficult to control cutter roof failure when the cause is regionally high horizontal stresses and especially when there is little difference in magnitude between the maximum and minimum horizontal stresses. Stress Concentration Beneath Stream Valleys Many mines that normally have relatively good ground conditions occasionally encounter severe condi- tions in the form of cutter roof failure. These localized occurrences can be the result of stress concentrations beneath stream valleys, mining-induced stresses, or rock type. In addition, localized high-stress conditions exist in 10 Table 2. — Horizontal in situ stress measurements, surface and underground sites Site' Location Direction of P Magnitude of P, psi (vlagnitude Average deptli of Q. psi of measurement^ft 941 18.1 285 1.8 1,191 33 1.385 8.6 335 4.8 1,113 61.9 516 1.2 791 151.2 1,397 4.7 1,519 4.9 777 4 519 4.5 1,491 4.7 171 10 551 925 2,500 2,300 2,937 3,200 1,595 1,000 1,053 6,200 4,966 5,300 2,283 3,127 2,898 1,060 404 1,600 705 850 345 1,250 160 1,570 1,466 700 Surface: 1. .. 2. .. 3. .. 4. .. 5. .. 9. 10. 11. 12. 13. 14. Lithonia, GA Dougiasville, GA Mt. Airy, NC Rapidan, VA St. Peters, PA West Cfielnesford, IVIA Proctor, VT Barre, VT Graniteville, IVIO St. Cloud, (WIN Carthage, MO Troy, OK Marble Falls, TX Green River, WY Underground: 15 Immel Mine, Knoxville, TN 16 Limestone Mine, Barberton, OH 17 Mather Mine, Ishpeming, Ml 18 Fletcher Mine, Bunker, MO 19 Homestake Mine, Lead, SD 20 Crescent Mine, Wallace, ID 21 Henderson Mine, Empire, CO 22 Sunnyside. Mine, Sunnyside, UT 23 Allied Chemical Mine, Green River, WY 24 Big Island Mine, Green River, WY 25 Rainier Mesa, NV, test site 26 Lakeshore Mine, Casa Grande, AR 27 Beckiey No. 1 Mine, Bolt, WV 49° E 64» W 87° E 6° E 14° E 56° E 4° W 14° E 77° E 50° E 2° E 84° W 33° W 42° E N 58° E N 77° E N 82° W N 17° W N 38 N 27 N 15' N 31' N 23' N 38' N 46° W N 69° E N 69° E 1,639 512 2,464 1,678 820 2,133 1,328 1,734 3,190 2,205 1,066 1,075 2,219 415 3,007 4,000 3,822 3,682 2,778 6,258 3,398 3,718 1,781 1,054 972 502 2,973 'Numbers correspond to those on figure 10. NOTE. — P and O are the maximum and minimum secondary principal stresses. Source: Adapted from Aggson (2). LEGEND ' Roof falls L 800 Scale, ft Figure 1 1 . — Partial mine map from western Pennsylvania, showing preferential orientation of roof falls. 11 Streams Figure 12.— Mine map from mine in southern. West Virginia, siiowing correlation of roof fall locations with centers of overlying stream valleys. areas of close proximity to anomalous geologic structures such as paleochannels, rolls, and clastic dikes. For the purpose of emphasis, the only topic discussed in this section is the effect of surface topography on underground opening stability. The influence of anomalous geologic structures is discussed under the heading "Minor Geologic Structures." Figure 12 is a map of a mine in southern West Virginia showing roof falls and overburden. The pattern of roof falls beneath the stream valleys is typical of valley-stress-induced failure. All other factors in the mine remained relatively constant, such as rock type and opening dimensions; thus, differential gravitational stress- es were deduced as the cause of failure. For many other 12 mines, similar correlations can be found between stream valleys and roof failure, although failure may occur in wider or narrower zones throughout the mine. In still other cases, mining beneath a valley may create no adverse mining conditions. From the limited amount of research conducted on this phenomenon, the following variables are thought to influence the occurrence of cutter roof failure associated with stream valleys: rock type, opening dimensions, percent extraction, depth beneath the valley, relief of surface topography, gradient of valley walls, availability of flowing water, and magnitudes and orientation of the principal in situ stresses that influence differential gravitational loading. It is also important to note that, depending on the variables just listed, failure may occur in ways other than cutter roof It has long been known that mining under low cover beneath stream valleys creates a potential for bad ground conditions. Little in-mine research has been conducted to analyze the cause, as a guide for developing control measures, although it has been estimated that as much as 90 pet of all roof falls in the northern Appalachian Basin occur beneath valleys (36-37). Ferguson (14-15) described unstable ground conditions associated with valley stresses in almost all surface engineering work within valleys in the Appalachian Plateau region. Laboratory investiga- tions have revealed that a stream valley can be modeled as a V-notch in a horizontal, thick plate subjected to gravitational loading. Lang (28) demonstrated the effect of a stream valley on the in situ stress environment using a V-notch in a photoelastic gelatin model, as did Worotnicki (50), who also used an electric analog model. These models showed that immediately beneath a V-notch, and for a substantial depth (as much as 600 ft beneath it), the horizontal stress is actually greater than the vertical stress (compared with the case of uniform gravitational loading beneath relatively flat topography). If other stresses are applied, the stress concentrations are modified by the notch. Wang (48) used a two-dimensional, finite-element model to compare the stress concentrations around an opening beneath a stream valley with the stress concen- trations around an opening beneath an adjacent hill. For this analysis, the only applied stress was gravitational loading, and the mine openings had a W/H ratio of 2. The coalbed of the model was attributed a different modulus of elasticity from the rest of the model to more accurately represent the in situ environment. Figure 13 is a comparison of the results for each of three sets of openings as the height of the hill increased from 240 to 355 to 615 ft. (The depth of the opening beneath the valley remained constant at 115 ft.) The most important feature of this graph is that the opening beneath the valley has higher compressive stresses in the corners and lower tensile stresses in the midspan of the roof than does the opening beneath the hill. Moebs [as cited by Enever (12)] conducted a study on the frequency of roof falls as related to their lateral distance from the center of valleys, compiling data from several mines in the northern Appalachian Basin. Based on his data, Moebs developed an empirical method of determining the likelihood of roof instability associated with a stream valley as related to the slope of the valley walls and the depth of the mine below the valley. Equation 3 represents his empirical method. 550 Pillar compression Pillar compression KEY Opening under hill Opening under valley Roof corner -Midspan tension Midspan tension Roof corner ompression 300 500 700 900 HEIGHT OF HILL, ft Figure 13. — Values of stress for critical points of an opening beneath a valley versus an opening beneath a hill, for an increasing height of the hill. [Adapted from Wang (48)] where and F = an empirical index, unitless, A = the mean slope angle of one of the valley walls from the horizontal, deg, A = the mean slope angle of the other valley wall from the horizontal, deg, D = the depth of the coalbed at the point of interest, beneath the valley wall, ft. F (fall factor) = ( A + A' ) D (3) It can be seen from the equation that as the steepness of the valley walls increases, the values of F correspondingly increase, representing an increasing risk of roof falls. However, the F value decreases for greater depths. For the small set of mines analyzed by Moebs, a particular value for F was obtained and a greater F value in any area usually indicated imminent failure. Moebs did not specifically identify this "critical" value since it has not been shown to be universal in application. Another factor discussed by Moebs in a separate publication (37) is the fact that the highest frequency of falls at each mine occurred beneath streams oriented in a northerly direc- tion. As mentioned earlier, for the northern Appalachian Basin this northerly direction is subperpendicular to the major principal horizontal in situ stress. Thus, it is assumed that stream valleys with a northerly orientation increase the magnitude of the horizontal in situ stress. This phenomenon of the influence of the stream valleys on the already high horizontal stress field was also seen in Australia by Enever (11), where in situ stress measurements revealed not only an increase in magni- '13 tude but also a reorientation of the principal stresses. The research showed that a ratio of depth of cover to the maximum surface relief for a particular valley (D/R, where D is the depth and R is the maximum surface relief with compatible units) was the most reliable empirical relationship for determining the likelihood of valley- stress-induced failure of underground workings. The value of D/R is calculated at any point within the valley to determine the likelihood of failure beneath that point. Enever concluded by suggesting that D/R ratios of less than 0.5 indicate a strong possibility of encountering adverse roof conditions, and that this ratio would need to be adjusted in the presence of regionally high horizontal stresses. Both Moebs and Enever admit that their empirical methods are unable to treat the in situ stress state as a separate variable. Additionally, a second missing variable may be one that would take into account drastic changes in the cross-sectional profile of the valley as taken perpendicular to the trend of the valley. It is important to note that these empirical relations are based solely on observations of physical conditions and do not include the influence of the failure mechanisms. Further, neither of the equations has been tested against a statistically significant population of failure occurrences. For this reason, these methods are presented only as a means of demonstrating the problem to the reader. For predicting failure, these relations would most likely need to be adjusted from mine to mine; e.g., they should also include any pertinent information concerning failure in the area of question, such as variables of available water, rock type, and geologic anomalies. ROCK MASS CHARACTERISTICS Rock mass characterization is a vast subject area concerned with the comprehensive description of rock masses. The characterization of rock mass has been tackled by many researchers through the use of classifica- tion systems [of which Bieniawski (6, pp. 97-132) has listed the most popular presently being used]. Each of the various systems attempts to classify a rock mass either qualitatively or quantitatively into groups exhibiting similar behavior. A number of parameters are utilized in the various classification schemes (e.g., compressive strength of the intact rock and joint spacing), with each variable being weighted in terms of its overall importance with respect to support. The descriptions and value of these systems in mine design are not discussed in this report; however, the two most common threads in these systems are significant factors in the propagation of cutter roof failure: rock properties (including elasticity) and minor geologic structures (such as joints, clastic dikes, and facies changes). In the previous discussions of the effect of opening dimensions and stress environment on cutter roof prop- agation, all other variables were held constant at some value of either a commonly encountered condition or convenience with respect to modeling. In each case, it was useful either to omit the variable of rock mass characteris- tics by using a constant of purely elastic uniform homogeneity, or to only partially incorporate it by using the elastic properties of the rock. For coal measure rocks, this is obviously not an accurate description. In this discussion of rock mass characterization, the in situ stress state is held constant at a value of gravitational loading, and the opening dimensions have a W/H ratio of 3. OO cn >_ COUJ 25 — Harder coal Softer coal—* 1 1 1 I 20 - 1 c^ 1 1 1 1 I/I 1/2 1/4 1/6 1/8 1/10 RATIO OF MODULUS OF ELASTICITY OF COALBED |Ec) TO MODULUS OF ELASTICITY OF ROOF ROCK (Epl Figure 14. — Stress concentration in roof-rib corner versus elasticity of coalbed. (Stress concentration values are ratios, representing the major principal stress, for the critical point, divided by the maximum stress applied to the model.) [Adapted from Wang (47)] However, as the influence of separate rock mass charac- teristics is analyzed, it will become clear that the geologic environment places limitations on opening dimensions and at times creates local stress anomalies. Rock Strength And Stiffness Wang {48) used finite-element analysis to investigate the effects of rock stiffness (or elasticity) on the stress distribution around single mine openings. For the first analysis, he looked at a single opening in a coal seam bounded by a uniform shale above and below, from which he concluded the following: The stresses in the mine roof are highly dependent on the relative values of the elastic moduli of the roof materials closest to the surface of the opening. Where the roof is a single material, the compressive and shear stresses at the roof-rib intersection tend to decrease and the tensile stress at midspan of the roof tends to increase as the roof material becomes stiffer elastically in respect to the coal seam .... The converse of this statement also holds true: As the coal seam becomes stiffer elastically in respect to the roof material, the compressive and shear stresses at the roof-rib intersection tend to increase and the tensile stress at midspan of the roof tends to decrease. Figure 14 illustrates how the magnitude of the stress concentration changes as coal elasticity changes. Wang went on to analyze single mine openings in multilayered material, which had primarily been ana- lyzed with beam equations in the past. Obert (39) used the beam method of analysis to estimate limits of stable roof spans across single and multiple entries in multilayered material. The results of Wang's work, however, illustrate with simplicity the qualitative interpretation of opening stability for multilayered roof (48): ... for a multicomponent roof, both the shear and compressive stresses at the roof-rib intersec- tion and the midspan tensile stress increase in value when the elastically stiffer roof material is closest to the surface of the opening. 14 600 500 400 300 200 100 1 KEY • Tensile strength A Compressive strength J I I 1 L 1/6 3/12 1/3 5/12 1/7 2/3 TI/(TI + T2) 5/6 900 800 700 600 500 400 Bock to in SITU sheor stress vtilut So: O UJ Of?, Z3 W Figure 15. — Stress values in roof-rib corner and midspan of roof versus ratio of thickness of the two immediate roof members. T^ Is the roof rock layer closest to the opening, and Tj is the layer immediately above T,. [Adapted from Wang (48)] Wang further defined the stability of openings in multilayered material by analyzing the thickness of the various roof members, the results of which are illustrated in figure 15. The figure demonstrates that the threat of cutter failure is greatest for thick, weak layers of rock that overlie a strong immediate roof When only rock strength is considered as the controlling factor in the propagation of cutter roof failure, the same worst case scenario can be drawn from both the finite-element and beam methods of analysis. In 1950, Thomas {45) reported the same findings as Wang's based on underground observations of the cutter roof failure process and described the worst case scenario as follows: . . . the conditions necessary to produce a "cutter" are: (DA relatively strong immediate roof that may be thinly laminated, but the cementation between the laminations must not break down easily, and (2) a series of weaker strata that tend to sag and slowly load the immediate roof below it. In addition, as the thickness of the strong immediate roof member decreases, the effect of loading upon this member by the overlying weaker member increases. The work of Aggson (4) and Kripakov {27) is discussed in the section "Stress Environment" with respect to the orientation of the cutter fracture plane in the roof as a function of the in situ stress. However, the actual calculations for exact determination of the location and orientation of the fracture plane for a particular in-mine condition are extremely complex; the required data for calculating these values are the elastic properties of the rock, the stress concentrations around the periphery of the opening (under the given in situ stress environment), and the manner in which these stresses are redistributed as the fracture propagates. This information is useful in calculating the failed roof rock load on artificial support. As an example, when trusses are used to support failed roof it is beneficial to know how much dead weight is to be suspended in order to use a sufficiently large gauge of steel. Minor Geologic Structures A minor geologic structure inherent to coal measure Figure 16. — Qualitative interpretation of cutter failure prop- agation in thinly bedded, single roof rock type. rocks, introduced in the discussion on rock strength and stifftiess, is the naturally occurring bedding planes of sedimentary rocks, which commonly separate rocks of differing material properties. These discontinuities divide the roof rock into separate beams, which allow for shear displacement as the roof sags into the mine opening (provided the rock does not sag beyond its elastic limit). The fewer the number of bedding planes, the greater the horizontal shear stiffness of the roof material. From available beam equations, it has been shown that as the shear stiffness of the roof increases, the predicted point of failure moves closer to the ribline {24). Conversely, as the number of bedding planes in the roof increases, the shear stiffness decreases and the predicted point of failure moves toward the center of the entry. Thus, according to beam equations, if horizontal shear stiffness were the only controlling factor in the occurrence of cutter roof failure for a specific site, the worst case scenario would be a massive roof rock unit devoid of bedding planes. However, roof rock, of only one rock t5T)e, with many weak bedding planes has also been observed to fail in the cutter manner {29-30). Figure 16 qualitatively demonstrates the possible mechanisms behind the failure of thinly laminated rock that does separate between bedding planes as a result of differential deformation along individual beds. When the mine opening is initially excavated, the maximum shear stress is in the roof rock layer closest to the opening (labeled 1 in figure 16); as a result, this unit undergoes slightly more deformation than does the overlying layer, causing a gap to form between the layers. The shear stress causes this lowest layer to fail, and a redistribution of stress occurs, creating an unstable environment for the next layer up. This process continues until an equilibrium is reached, usually in the form of massive roof failure. This type of roof failure has been frequently observed underground, and Aggson (2) has identified and described a similar failure mechanism in floor heave. Another minor geologic structure influence would appear to be coal cleat. Thomas {45) indicated that cutter roof failure occurred most frequently in entries oriented parallel with the face cleat, implying some inherent relation between cleat and the formation of cutter failure. However, present trends in cutter roof failure do not show preference to entries oriented parallel with the face cleat; in fact, cutter failure generally occurs more frequently in headings parallel with the butt cleat of the coal. In either case, coal cleat has not been established as an instigator of cutter roof failure. The only apparent influence it may 15 Figure 17. — Clastic dii«^r-^ =^ fc=^ Shale — xs ^* ^ ^^^S[ — ^^^ 4 r A — 4'— 1 o' 1^ '^ — 4'- +3'- 1 v////y///// lo A CROSS SECTION VIEW 10 I I I Scale, ft ----E H Y S & 4' Shale roof A- — B, PLAN VIEW Figure 26. — Angle bolt installation. Truss Bolting Truss bolting is an artificial support technique commonly recommended for cases of severe cutter roof failure not significantly deterred by the installation of angle bolts (5, 36). The two most commonly used designs of truss bolts are shown in figure 27, along with an indication of the theoretical components of compressive force that make this method of support successful. Controversy over the comparative effectiveness of the two separate designs has arisen from the ability of the truss in figure 27B to maintain equal tension in both the A ANGLE BOLT TYPE B, CONTINUOUS BOLT TYPE Figure 27. — Two basic designs of roof bolt trusses. Arrows shown in A represent compressive forces which are also true forB. crossmember and bolts, while the truss of figure 27A allows for adjustments in these tensions after installation (29-33). An advantage to the truss type of figure 27A is that the crossmember does not have to be installed immediately and can be used intermittently as conditions warrant. The normal plan of installation for both types of truss bolts is shown in figure 28A, but some mines have gained amendments to their ground control plans allow- ing them to use the angle bolt portion of the truss (shown in figure 27A) on-cycle as a replacement for the outer two bolts. The installation of the crossmember then qualifies as supplementary support when hazardous conditions are encountered (fig. 28B) (5). This has proven to be exceptionally useful in areas where cutter roof initiates at clastic dikes. In-mine monitoring of roof behavior near clastic dikes at the Greenwich North Mine showed that trusses were most successful when installed on-cycle (19). Again, the obvious drawback to truss bolting is the need 22 Entry Entry A SUPPLEMENTAL SUPPORT B, ON-CYCLE INSTALLATION 20 I I I Scale, ft Figure 28. — Plan view of truss installation. for a bolting machine that can drill inclined bolt holes (the recommended angle of installation is 45°). Installation on-cycle is also recommended for the reasons discussed under the heading of "Angle Bolting." Other Supports As mentioned earlier, cribing and posts are generally used for the resupport of roof after cutter failure has formed; however, in specific cases where the failure begins at a clastic dike or some other minor geologic structure and in situ stresses are not too high, strategic placement of cribbing and posts has deterred cutter formation (fig. 29). At the Greenwich Mines, some success has been had using this technique. Cribs and posts should be installed shortly after mining, and the support should be placed in such a way as not to yield significantly (e.g., a minimum of cap pieces). With respect to conventional bolting practices, cutter failure fi-equently propagates to just above the anchor horizon, resulting in massive roof failure. Changes in bolt length most often result in only a change in the height to which cutter failure propagates. However, for cases of cutter failure that are not severe, some operators have found a combination of bolt lengths across an entry to be successful (e.g., bolts next to ribline are shorter than bolts in center of entry). Another remedy has been to use point-anchor-resin, tensioned, rebar-type bolts and to ensure that these bolts are uniformly tensioned, upon installation, throughout the entry. MINE DESIGN CHANGES Mine design changes, as control measures, frequently take advantage of the elemental factors that cause cutter roof failure. In the following examples, rock property data and knowledge of the in situ stress state are valuable in assessing the probability of success and developing an implementation plan for the control measure. Obtaining accurate measurements of the in situ stress state and meaningful rock property values is difficult, but often necessary. In the literature are several cases where mine officials used mine design changes to control cutter roof failure without the aid of rock mechanics data. However, since a great deal of time and expense is invested in making mine design changes, the benefits of having these data are obvious. Sacrifice Entries^ Sacrifice entries have been used as a method of ground control since the 18th century, and dating the common use of sacrifice entries in the United States at approximately 1935, Roberts (42) referred to this method as the use of caving chambers and described it as follows: In essence, the caving chamber is an auxiliary road, driven parallel to the main roads, and kept slightly in advance of them. At short periodic intervals all supports are withdrawn from the caving chamber, which is allowed to collapse, and as result of the falls of roof in this chamber the roof in the neighboring roads remains solid. The premise for using sacrifice entries is that" extremely high horizontal in situ stresses exist (or that measurements have shown that high in situ stresses exist) that are thought to be the primary cause of roof failure at the site, and further, that by initiating failure in an entry ahead of and parallel to future adjacent entries, the in situ stress can be relieved to manageable levels, allowing adjacent entries to advance without incident. Nicholls (38) has discussed the use of this method in conjunction with the problem of cutter roof failure in Australia and reported limited success. Figure 30 illustrates the use of contemporary caving chambers in three-entry gateroads. Roof rock is mined in a ^he author thanks Nicolas P. Kripakov, mining engineer, Denver Research Center, Bureau of Mines, Denver, CO, for providing the results of his finite-element analysis of the arch-sacrifice-entry method and for relating his experience with the subject. » Clastic r^V dike '-'^ -Cribbing ^^ Entry 20 Scale, ft Figure 29. — Plan view of mine entry showing placement of cribbing adjacent to clastic dike to deter cutter failure formation. o-h =1,900 PS 23 Center -lo-center dimension Center- to- center dimension, ft Reduction in sheor stress at entry corner, pet Inside (1) Outside (0) 50 40 30 5 2 1 1 3 24 6 3 5 5 7 10,1 A, CENTER ENTRY USED FOR STRESS RELIEF I \ I C I i o^i^ 700 psi Center -to -center dimension, ft Reduction in stiear stress at entry corner (C), pet 50 40 30 82 156 28 3 crh=l900psi Center -to -center ' dimension e, OUTER 2 ENTRIES USED FOR STRESS RELIEF Figure 30. — Contemporary versions of caving chambers for use in three-entry gateroad configurations. (Courtesy N. P. Kripakov) rough arch outline to a height above the coalbed in either the center entry (fig. 30A) or the two other entries (fig. SOB), with only steel arches and steel lagging as support. The entry (or entries) mined with the arches is driven approximately 100 ft in advance of the other entries. Approximately 18 in of space is left between the steel arches and the newly exposed roof surface (an arbitrary amount of space leaving sufficient room for expansion), thus allowing the roof to cave onto the arches and relieve in situ stresses. Upon abandonment of the gateroad, it may be possible to retrieve the arches and lagging for future use. Kripakov conducted the finite-element analysis of the two different scenarios using the stress values and rock properties used to generate the results shown in table 1. The results of the analysis are shown in figure 30, demonstrating that reduction of pillar sizes increases the effectiveness of the caving, as does the use of two arched entries as opposed to one. Since Kripakov's finite-element code generally treats rock as a continuum, the actual reduction in shear stress may be much greater in the actual mine environment because of shear displacement along bedding planes. The basic principle in reducing the shear stress occurring at an entry corner is reducing the difference in the principal stresses. While the magnitude of the stresses is important, the difference in magnitudes can control failure. Although sacrifice entries are not in wide use today, their success in the past suggests some possibilities for future use. From the differences between the old caving chamber, as explained by Roberts, and the contemporary sacrifice entry, which requires special equipment and arches, it is obvious that companies must go to great effort to incorporate this method as a regular practice. Pillar Softening And Yield Pillars Pillar softening is a technique developed by Wang |-?7i for reducing the magnitude of stress concentrations in the corners of entries. The concept is based on coal pillar elasticity versus roof rock elasticity, discussed in the section "Rock Mass Characteristics," and the effect of this ratio on the magnitude of stresses in the corners of the entry (fig. 14). By reducing the elasticity of the pillars to some distance away from the entry, the stress concentra- tion in the corners of the entry are effectively redis- tributed. Using finite-element analysis, Wang found that by drilling 6-in-diam holes into the pillars and face as an entry was advanced, the elasticity of the pillar near the rib and the stress in the corners of the entry could be reduced. Softenedl zone I KEY ■ First advance Second advance Figure 31. — Plan for placement of auger holes for pillar- softening concept. [Adapted from Maxwell (34)\ 24 5 Scale, ft Figure 32.— Cross-sectional view of rib-slotting method. [Adapted from Kripakov (27)] The pillar-softening concept was tested in Mine 32 of the Bethlehem Mine Corp. (34) near Ebensburg, PA, an area of the Appalachian Basin plagued by the problem of cutter roof failure. Figure 31 illustrates the pattern of holes used during the testing. An attempt to measure the in situ horizontal stress was made, with inconclusive results, and other measurements were made of pillar stresses, material properties, roof strain, convergence, and tilt. The results of the tests showed a reduction in stress in the corners of the entry; however, there was no indication that roof stability improved as a result of the softening. Kripakov (27) further investigated Wang's method and found that an optimum location for softening holes was at the roof-coal interface, which resulted in an effective decrease in stress concentration at the comers of 10 pet (table 1). Since the original pillar-softening test at Mine 32 did not show a significant improvement in roof conditions, Kripakov took the method a step further and introduced the concept of rib slotting (fig. 32). Through finite-element analysis, he found a 40-pct reduction in stress concentrations in the corners of the entry when horizontal 3-in-thick slots were created at the roof-coal interface (table 1). The method has not been exhaustively tested, and a means of efficiently cutting slots in the ribs has yet to be presented. However, the initial analysis of the method suggests it may be worthy of additional testing. A great potential for limited use of this concept exists for special cases, such as cutter failure in the outer entries of a multiple-entry development. The pillar- softening method may also be useful when a face area is to be left idle for several days. In situations like this, the face area essentially becomes an outer entry in a multiple- entry scenario. Pillar softening in the area may deter failure until mining is resumed and additional support can be installed. Another method of reducing the elasticity of a coal pillar, the yield pillar design, has recently reemerged in the coal mining industry as a viable ground control method. While the method is being used only ex- perimentally for controlling classic cutter roof failure, at least three mines are using yield pillars for other ground control problems. The basic concept is that pillars are small enougb so they intentionally yield and transfer the majority of roof loads to the abutments. The result is a reduction of overall roof and floor stresses (49). Kripakov (27) suggested yield pillars as a possible solution for Slot - A PLAN VIEW 10 r h 10 Scale, ft Slot holes S, CROSS SECTION VIEW Figure 33. — Placement of holes for roof-slotting method. [Adapted from Maxwell (34)] controlling cutter roof failure at the Kitt Min§, although in-mine verification was never conducted. Roof Slotting In conjunction with the testing of the pillar-softening method at Mine 32 of the Bethlehem Mine Corp., a second method for controlling cutter roof failure was tested. 25 which consisted of drilling a series of holes adjacent to the entry to form a vertical slot in the roof rock above the pillar (fig. 33). Entries treated by slotting prior to development showed a marked improvement in roof conditions over adjacent entries, and instrumentation revealed that the slots did provide for relief of horizontal stress. Unfortunately, because of the inability to use this method efficiently during production, it is not very practical. But the initial indications of success suggest that future efforts aimed at developing a means for using the method during production would be worthwhile. Entry Reorientation The practice of reorienting entries, in an attempt to eliminate roof falls that occur in entries of a particular orientation, has been a successful control method when applied to problem ground conditions caused by a biaxial horizontal stress field. The theoretical premise for the success of this method lies in the relation of horizontal to vertical stress, discussed under the heading of "Stress Environment." If the horizontal stress is strongly biaxial, the entries oriented perpendicular to the maximum principal horizontal stress are under the greatest in- fluence of the stress. By reorienting mine headings so that both entries are perpendicular to the same least stress value {fig. 34), the influence of the biaxial stress field can be offset. However, in many cases, reorientation to obtain least stress values is not an adequate solution. For these cases, a solution can be found by orienting the main headings parallel with the maximum principal horizontal in situ stress and staggering pillars, thus isolating the occurrence of roof failure to crosscuts. In addition, Aggson (3) suggests a reduction in the width of crosscut entries to further reduce the probability of failure. In the Kitt Mine, only a 22-pct difference in magnitude was found between the minor and major principal horizontal stresses. In this case, reorienting entry headings to an optimum angle from the principal horizontal stresses would not decrease stress perpendicu- lar to the entries enough to create entry stability. In fact, the greatest reduction that could be realized by reorienta- tion of the entries would be only an 11-pct reduction of the major principal horizontal stress. Entry reorientation has been used to control cutter roof failure (and other types of failure) caused by a highly biaxial, horizontal stress field in cases where the stress field was of local occurrence and in other cases where it was of regional occurrence. Local cases have usually been associated with sedimentary or compactional features, such as sandstone channels or rolls. Connelly ilO) refers to the use of entry reorientation in Australia as a successful method for offsetting the influence of "stone rolls." In the case he cites, headings were reoriented to intersect the rolls at an oblique angle, resulting in an immediate improvement in roof conditions. In the United States, similar conditions have been found, as in the West Virginia mine shown in figure 21. Reorientation was also used at this mine in an attempt to offset the influence of the structure, and no further failure ensued. However, in cases such as this, in-mine verification of a local biaxial stress field has not been established and reorientation has not been verified, through instrumentation, as the cause of improvement. The Pennsylvania mine shown in figure 11 displays similar characteristics; in the section oriented 45 from the headings of the rest of the mine there is no A / / / / / / / ^ // / /A / / / / / 650 psi A, ORIENTED PERPENDICULAR TO MAJOR PRINCIPAL STRESS 650 psi 1,300 psi 975 psi as calculated from av stress B, ORIENTED 45* FROM MAJOR PRINCIPAL STRESS Figure 34. — Apparent values of horizontal in situ stress for the two extremes of entry orientation versus orientation of actual principal in situ stress. roof failure. While these two cases are apparently successful, in many other cases no deterrence of failure was realized. Some operators have reported on the implementation and success of entry reorientation and its use in controlling cutter roof failure associated with a regionally high biaxial stress field. In some cases (7-8) in situ stress measurements were not taken to quantify the stress field but rather the decision to implement changes was made based on in-mine observations of roof failure. In another 26 case (29), attempts were made to quantify the stress field before implementing successful reorientation changes, although the results were inconclusive based on the fact that the deepest overcoring measurement was taken only 6 ft from the mine opening. Although defining the stress environment and other factors of roof failure propagation is important, reasonable engineering decisions can be made based on keen observations, as was done in the cases cited above. The value of having as much information as possible is obvious, however, in light of the magnitude of the changes made. INDIRECT CONTROL MEASURES Other ideas about controlling cutter roof failure include the same kind of reasoning that suggests planing around stream valley areas that may be susceptible to failure. This type of reasoning leads to the conclusion that specific mining methods may actually reduce the threat of encountering severe cutter roof failure. Many mines currently experiencing cutter roof failure are employing the room-and-pillar mining method, which exposes a tremendous amount of roof area that must be supported over long periods of time. In regions where the threat of cutter failure is such that control may be impractical or impossible, the possibility of using the longwall mining method should be assessed. For a given mined area, this method exposes less roof to long-term support needs; therefore, there is less potential for having to deal with the problem. Additionally, gateroad systems lend them- selves to short-term innovative kinds of control measures, such as the sacrifice entry concept previously explained. CONCLUSIONS AND RECOMMENDATIONS This report outlines the most commonly cited theories on the formation of cutter roof failure and the most commonly suggested methods for controlling its occur- rence. No unique solution exists for controlling or avoiding cutter roof failure. Some operators have had limited success in controlling failure propagation by systematical- ly analyzing the patterns of failure in their mines and then, through a process of elimination, selecting a control method. The limitations on their success may stem from the fact that although theories on cutter failure exist, few have been verified through in-mine experimentation. Likewise, when control measures have been implemented, inadequate monitoring has resulted in an inability to determine the overall effect of the measure on roof stability. Continued research is needed by mine operators, the Bureau, and other research organizations, so that appropriate modifications can be made to existing theories and control methods to increase their rate of success. In addition to using the decision process diagram illustrated in figure 24 (for the basic determination of probable causes of failure and subsequently for the selection of a control measure), mine operators are encouraged to consider mining methods that reduce the amount of exposed roof that must be supported for long periods of time. Longwall mining meets this criterion in a manner that provides fiexibility for the employment of innovative control methods such as yield pillars, re- orientation of entries, and sacrifice entries. In localized areas of a relatively high probability of cutter roof failure, the basic premining plan may be altered to take into account these areas and either use them for barrier pillar areas or only mine them upon retreat. Until future advances are made in understanding the cutter failure phenomenon, the present state of the art does provide options for mining in areas where this type of failure occurs frequently. However, it remains the responsibility of individual mine operators to weigh the cost of resupporting failed areas and the threat of injury to miners against the investment made to select and implement control methods. REFERENCES 1. Agapito, J. F. T., J. R. Aggson, S. J. Mitchell, M. P. Hardy, and W. N. Hoskins. Study of Ground Control Problems in Coal Mines With High Horizontal Stresses. Paper in Proceedings of Twenty First Symposium on Rock Mechanics: A State of The Art. Univ. MO, Rolla, MO, 1980, pp. 820-828. 2. Aggson, J. R. Coal Mine Floor Heave in the Beckley Coalbed, An Analysis. BuMines RI 8274, 1978, 32 pp. 3. How To Plan Ground Control. Coal Min. & Process., v. 16, No. 12, 1979, pp. 70-73. 4. Stress-Induced Failures in Mine Roof. BuMines RI 8338, 1979, 16 pp. 5. Barish, K. 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Colliery Guardian, v. 170, No. 4404, 1945, pp. 663-668. 43. Roley, R. W. "Pressure-Cutting": A Phenomenon of Coal-Mine Roof Failures. Mechanization, v. 12, No. 12, 1948, pp. 69-74. 44. Su, W. H., and S. S. Peng. Cutter Roof and Its Causes. Soc. Min. Eng. AIME preprint 85-131, 1985, 5 pp. 45. Thomas, E. Conventional Timbering Versus Suspension Supports. BuMines B, 489, 1950, pp, 175-181, 46. Thomas, E., A. J. Barry, and A. Metcalf Suspension Support Progress Report. BuMines IC 7533, 1949, 13 pp. 47. Wang, F, D., D. M, Ropchan, and M, C, Sun. Proposed Technique for Improving Coal-Mine Roof Stability by Pillar Softening. Trans. Soc. Min. Eng, AIME, v, 255, 1974, pp, 59-63. 48. Structural Analysis of a Coal Mine Opening in Elastic Multilayered Material. BuMines RI 7845, 1974, 36 pp, 49, Wilson, A, H. The Effect of Yield Zones on the Control of Ground. Paper in Sixth International Strata Control Conference. Natl. Coal Board, Burton-on-Trent, Staffordshire, England, Sept. 1977, pp. 52-93. 50. Worotnicki, G, Effect of Topography on Ground Stresses. Presented at Rock Mechanics Symp., Univ. Sydney, Sydney, N.S.W., Australia, Feb. 19-20, 1969, 12 pp.; available from J. L. Hill III, BuMines, Pittsburgh, PA. U.S. GOVERNMENT PRINTING OFFICE: 1986—605-017/40,051 IImT.-BU.OF MINtS,P6H.,PA. 28352 U.S. Department of the Interior Bureau of Mines— Prod, and Distr. Cochrans Mill Road P.O. Box 18070 Pittsburgh. Pa. 15236 AN EQUAL OPPORTUNITY EMPLOYER OFFICIALSUSINESS PENALTY FOn PRIVATE USE, 1300 I I Do not wish to receive this material, please remove from your mailing list. I I Address change. Please correct as indicated. 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