Tectonophysics 402 (2005) 37 – 54 www.elsevier.com/locate/tecto A multi-kilometer pseudotachylyte system as an exhumed record of earthquake rupture geometry at hypocentral depths (Colorado, USA) Joseph L. AllenT Department of Geology and Physical Sciences, Concord University Athens, WV 24712-1000, USA Received 10 April 2004; received in revised form 24 September 2004; accepted 25 February 2005 Available online 10 May 2005 Abstract A system of pseudotachylyte-bearing fault zones preserved along the Proterozoic Homestake shear zone in the southern Rocky Mountains provides an avenue for investigating earthquake processes at the hypocenter. The results of detailed field mapping suggest that pseudotachylyte may serve as a dynamic indicator of rupture directivity and yield general estimates of some earthquake source parameters when examined at the multi-kilometer, fault-system scale. Pseudotachylyte fault veins are primarily exposed within eight NE-striking, sub-vertical fault zones that have a cumulative length of more than 21 km. The fault zones are mapped for 7.3 km along strike and fan to the northeast from a 170-m-wide outcrop belt to a maximum cross-strike width of 2.3 km. Pre-existing structural control on rupture geometry is indicated by concordance between foliation and fault veins, as well as spatial coincidence between the limbs of map-scale, rootless isoclinal folds and the location of most fault zones. The central portion of the longest fault zone exhibits evidence for dextral oblique slip that involved more than 2.1 m of strike-slip offset between four parallel fault veins that are interpreted to have formed in response to a single rupture event. In addition, an along-strike continuity and systematic distribution of fault zones, a progressive northeastward decrease in pseudotachylyte volume and maximum vein thickness, and a relative scarcity of cross-cutting relationships further suggests that the majority of the frictional melt in the system may have developed in response to one (or several) multi-kilometer ruptures, as opposed to hundreds of shorter ruptures. The similarity of kilometer-scale relationships observed along the Homestake pseudotachylyte system with the subsurface slip distribution and surface geometry of present-day, strike-slip earthquakes is interpreted to indicate that frictional melting occurred within a concentrated zone of moment release or an earthquake hypocenter during one or more M w z 6.3 earthquakes (M 0 z 6.9 1025 dyn cm) that involved northeastward rupture propagation. D 2005 Elsevier B.V. All rights reserved. Keywords: Pseudotachylite; Frictional melting; Homestake shear zone; Paleoseismology; Fault reactivation; Coseismic rupture T Fax: +1 304 384 6225. E-mail address: [email protected]. 0040-1951/$ - see front matter D 2005 Elsevier B.V. All rights reserved. doi:10.1016/j.tecto.2004.10.017 38 J.L. Allen / Tectonophysics 402 (2005) 37–54 1. Introduction A persistent question in structural geology is whether faults may preserve a record of incremental coseismic displacement distinguishable from aseismic creep (Sibson, 1989; Cowan, 1999). The generation of pseudotachylyte in response to frictional fusion on a time scale of seconds suggests that this fault rock may be a reliable indicator of specific episodes of seismic faulting at depth. The geometry of pseudotachylytebearing zones therefore provides a direct record of the result of earthquake rupture at hypocentral depths, since most fault-generated pseudotachylytes appear to have formed in the seismogenic zone where shallow earthquakes nucleate in continental crust (Sibson, 1975, 1977, 1989; Scholz, 1990). So far, the kilometer-scale geometry of specific earthquake ruptures is known only from the surface traces of active faults and from indirect seismic records (e.g., Pavlides et al., 1999; Lin et al., 2002); however, these data are unable to resolve fine geometric details of lithologic or structural heterogeneity at depth. Pseudotachylyte is commonly reported in the literature as isolated outcrops of thin veins (millimeter- to centimeter-scale thicknesses) in and near fault zones; in many studies, the length or lateral connectivity of veins is either not reported or not able to be determined due to limited exposure (e.g., Park, 1961; Wallace, 1976; O’Hara, 1992; Sherlock and Hetzel, 2001). Other studies report pseudotachylyte fault veins to be continuous for meters to tens of meters, and some have provided photographs or maps of varying detail of the centimeter- to meter-scale distribution of veins (e.g., Sibson, 1975; Magloughlin, 1989; Techmer et al., 1992; Lin, 1994; McNulty, 1995; Curewitz and Karson, 1999; Fabbri et al., 2000; Lin et al., 2003; Lund and Austrheim, 2003; Di Toro et al., 2005). On a broader scale, Wenk et al. (2000) report that a pseudotachylyte system in California might be continuous across a 20- to 200-m-wide by 15-km-long zone, and suggest that fault veins may potentially be mappable. However, only a few studies have actually attempted to record the distribution and connectivity of fault veins for more than ten meters along strike. These include the work of Grocott (1981), who provided maps of paired pseudotachylyte generation zones as long as 67 m that were part of an unmapped 1-km-long system, and Swanson (1988, 1989), who provided detailed maps of a 60-m-wide by 220-m-long vein system. Few studies have documented details of 1- to 10km-long fault zones in crystalline rocks (Pachell and Evans, 2002), and no studies have previously documented the structure of a pseudotachylyte-bearing fault system at this scale. This study describes a 7.3km-long system of pseudotachylyte-bearing fault zones that cover an area nearly three orders of magnitude larger than the system described by Swanson (1988). Field mapping defines a series of eight broadly en echelon fault zones that are laterally continuous along strike within gneisses of the Homestake shear zone in the southern Rocky Mountains. The system is comparable to some recent earthquake ruptures in scale, geometry, and displacement. The results suggest that pseudotachylyte may serve as a unique paleoseismic tool for investigation of earthquake processes at hypocentral depths. 2. Geologic setting The Homestake shear zone is a N 10-km-wide belt of shear zones that are exposed within the northern Sawatch Range of central Colorado, USA (Fig. 1). The shear zone is rooted within the Proterozoic continental lithosphere of southwestern North America, which assembled at ~ 1.7 Ga and was widely reactivated at ~ 1.4 Ga during intracontinental transpression and syntectonic magmatism (Nyman et al., 1994; Karlstrom et al., 2002; Shaw et al., 2002). Early geologic mapping defined the Homestake shear zone as an anastomosing series of northeast-striking, subvertical, shear zones hosted within Lower Proterozoic gneisses and Lower to Middle Proterozoic plutonic rocks of granitic to intermediate composition (Tweto and Sims, 1963; Tweto, 1974; Tweto and Lovering, 1977). The individual shear zones are commonly meters to tens of meters wide, and contain a wide variety of fault rocks, including mylonite, ultramylonite, pseudotachylyte, and subordinate cataclasite and breccia. All of these fault rocks are not necessarily found in association with one another in all of the individual shear zones originally mapped by Tweto (1974), although the diversity of the fault-rock suite clearly indicates shear-zone development across a range of crustal levels through time. J.L. Allen / Tectonophysics 402 (2005) 37–54 COLORADO Glenwood Springs N Denver 105˚50' 107˚ 39˚45' Gore Range Eagle Vail Study Area (Fig. 3) Z 39˚10' Leadville M o Ra squ ng ito e Aspen Sawat ch Ran ge HS EXPLANATION Phanerozoic Rocks Middle Proterozoic granitic rocks of ~1400 Ma age group Lower Proterozoic granitic rocks of ~1700 Ma age group Lower Proterozoic metasedimentary gneiss and migmatite Proterozoic crystalline basement rocks, undifferentiated 10 km Fig. 1. Location of study area and geologic sketch map of the northern Sawatch Range; a Laramide, basement-cored, anticlinal uplift in the Rocky Mountain foreland (modified from Tweto et al., 1978). The northeastern flank of the range dips gently (108) to the northeast. HSZ=Homestake shear zone. The oldest basement-rock unit in the northern Sawatch Range is a quartz-rich, semi-pelitic gneiss that hosts most of the shear zone (Fig. 1). The rock is 39 locally coarse grained and schistose where the biotite content is high, and to the north, near the ~ 1700 Ma Cross Creek batholith, the gneiss is variably migmatitic. Recent mapping, microstructural analysis, and monazite dating by Shaw et al. (2001, 2002) document four contrasting ductile deformation events during the Proterozoic development of the Homestake shear zone. Deformation initiated during an extended episode (~ 1710–1630 Ma) of high-temperature metamorphism, partial melting, and intrusion of the Cross Creek batholith (Shaw et al., 2001). This early deformation isoclinally folded the primary gneissic foliation (defined by migmatitic leucosomes and biotite) and generated centimeter- to meter-scale granitic dikes parallel to overprinting asymmetric fold axes (D1 event of Shaw et al., 2001). As hightemperature deformation progressed, crustal shortening transposed the early foliation into the present sub-vertical orientation along northeast-striking, highstrain zones (D2 of Shaw et al., 2001). These early fabrics are overprinted by northeast-striking, northwest-side up, dextral mylonite zones (~ 1372 Ma), and slightly younger, northwest-side down, dextral ultramylonite zones that are locally associated with both cross-cutting and ductily sheared pseudotachylyte (D3 and D4 events of Shaw et al., 2001). This pseudotachylyte crops out more than 6 km N–NE of the system described in this paper and the specific temporal and spatial relationships between pseudotachylyte in the two locations are unknown. Following a long history of Proterozoic deformation and exhumation, isolated components of the shear zone were reactivated and cut by brittle faults during the Late Cambrian, Early Ordovician, and Late Cretaceous (Allen, 2004). 3. General characteristics of host rocks and pseudotachylyte in the Homestake shear zone 3.1. Host rocks The primary host rock is a sub-vertically foliated, biotite- and quartz-rich, fine- to medium-grained, semi-pelitic gneiss that is commonly migmatitic and locally mylonitic. The gneiss includes meter-scale bands of coarse-grained, biotite-rich, pelitic schist that contains garnet and abundant 1- to 5-cm-wide 40 J.L. Allen / Tectonophysics 402 (2005) 37–54 ribbons of alkali feldspar and quartz (Fig. 2A). The stable assemblage for the gneiss is typical of low pressure, high-temperature upper amphibolite facies, and includes quartz + microcline + plagioclase + bio- tite + magnetite, with variable amounts of sillimanite F muscovite F cordierite (Allen et al., 2002; Moecher and Sharp, 2004). A steeply plunging mineral stretching lineation defined by quartz and J.L. Allen / Tectonophysics 402 (2005) 37–54 prisms or elongate clots of sillimanite is locally visible on the sub-vertical gneissic foliation. Subordinate host rocks include biotite-rich, sub-vertically foliated granitic dikes, and hornblende-rich, calcsilicate gneiss. These latter rocks host less than 2.2% of mapped pseudotachylyte-bearing fault zones reported in this study. 3.2. Pseudotachylyte Pseudotachylyte is found in linear to broadly sinuous veins that are most commonly exposed on horizontal outcrops. In outcrop, it appears as a concoidally fractured and jointed, dark-gray to black or dark brown, aphanitic rock that contains visible lithic clasts. In many places, the rock is streaked or zoned and locally includes internal isoclinal folds with vein-parallel axial surfaces, suggesting Newtonian flow. Veins crop out in a wide variety of forms along the shear zone (Fig. 2B–D), and can be generalized as either: (1) fault veins, defined as tabular bodies of pseudotachylyte of variable thickness (b1 mm to 39 cm) that fill faults with shear displacement parallel to vein walls; or (2) injection veins that branch off fault veins at moderate to high angles and exhibit displacement consistent with dilatation perpendicular to vein walls. In most places, several fault veins are parallel and separated from one another by 1 to 3 m; local splay fractures diverge at acute angles and connect with an adjacent fault vein in a manner that is very similar to an interlinked system of paired dextral boundary shears and minor bsecondaryQ fractures described by Grocott (1981) from exposures in Greenland. Fault veins are most commonly solitary and frame local centimeter- to meter-scale isolated lenses (terminology of 41 Kim et al., 2004) along strike. In some areas, however, fault veins are found in association with a complex network of interconnected fractures that form pseudotachylyte zones with decimeter-scale widths, similar to bType CQ veins described by Lund and Austrheim (2003). Both fault and injection veins locally swell to form elongate or bulbous reservoirs that represent b 1- to 12-cm-wide (or more) pockets of melt. Veins are abruptly bounded by wall rocks, and are locally lined by a dense concentration of lithic clasts (Fig. 2E–F). In all outcrops, pseudotachylyte appears to have been formed due to rupture of intact rock, as veins are not parallel to a fracture or joint set, and do not overprint cataclasite or gouge zones. This observation is supported by oxygen and hydrogen isotope data, which suggest that the Homestake pseudotachylytes formed in a closed system devoid of meteoric water (Moecher and Sharp, 2004). In thin section, pseudotachylyte matrix appears opaque, isotropic, cryptocrystalline, and black to dark brown. Lithic clasts are matrix bound and include fragments of quartz and plagioclase. Lithic clasts are mostly monomineralic and are dominated by quartz, although some larger gneissic host-rock fragments were observed in outcrop and some thin sections. Clasts commonly range in size from b 10 Am to 3 cm, are rounded, and commonly display corroded and embayed margins and optical halos. Iron oxides (magnetite) are also present and appear in three distinct forms. The most common form is typified by 1 to 5 Am octahedral grains densely dispersed throughout the matrix. A less common form is amorphous, rounded in shape, and much larger (N 10 to 100 Am) in size, and the third form is present as dendritic microlites that are nucleated Fig. 2. Representative photographs of pseudotachylyte and host rock; locations indicated on Fig. 3. (A) Sub-horizontal exposure of a SWvergent, rootless isoclinal fold outlined by leucosomes in biotite gneiss, the primary host rock. (B) Solitary fault vein. Arrow shows location of a fault-wall damage zone forming an isolated lens that resembles the geometry of a dextral sidewall ripout as described by Swanson (1989). Horizontal exposure of vertical vein. (C) Paired, sub-millimeter-thick fault veins highlighted in white (pen points 0608; horizontal exposure of vertical veins). Deflection of foliation and leucosome mismatches consistent with dextral oblique slip. Exact magnitude of displacement unknown, although field relationships suggest a maximum of ~ 10 cm strike-slip offset across the upper vein. (D) Injection veins branching off of a very thin (sub-millimeter), foliation-parallel fault vein along the right side of the photo. Injections are swollen to form bulbous, off-fault reservoir. Pen points 0558; horizontal exposure of vertical vein. (E) Polished slab showing ~ 14-cm-thick fault vein; wall rock is along far right of photo. In three dimensions, all pseudotachylyte in this hand sample is seen to be a continuous and interconnected, single-generation melt as evidenced by swirled flow lines. Note large rounded clasts of host gneiss. (F) Polished slab showing thick fault vein that exhibits a concentration of granitic, vein-margin lithic clasts; wall rock at bottom of photo. Slab cut perpendicular to sub-vertical dip. (G) Photomicrograph of dendritic microlites of magnetite nucleated on larger magnetite grains. Note rounded and embayed quartz clasts and opaque matrix. Field of view = 70 Am wide. 42 J.L. Allen / Tectonophysics 402 (2005) 37–54 along the margins of larger, amorphous magnetite grains (Fig. 2G). Small octahedral magnetite crystals are not present in the host rock and, therefore, are interpreted as a crystallization product of frictional melt. These octahedral magnetite crystals, dendritic microlites, and embayed quartz grains strongly suggest a melt origin for pseudotachylyte, and the presence of acicular crystals of mullite reported by Moecher and Brearley (2004) suggest that the melt temperature in one thick vein (10 cm) may have exceeded 1150 8C. Some studies have suggested that the presence of vesicular textures in pseudotachylyte is indicative of frictional melting at very shallow (b 1.6 km) depths, and the presence of amygdules may be associated with depths less than approximately 7 km (Masch et al., 1985; Maddock et al., 1987; Swanson, 1992). Homestake pseudotachylytes lack either of these features, suggesting an origin below 7 km. This is consistent with observations indicating that pseudotachylyte near this system is locally cut by ductile microshears (Shaw et al., 2001), and the absence of meteoric fluids during faulting (Moecher and Sharp, 2004). On the basis of circumstantial evidence for an origin at depths N 7 km and field relationships in faulted cover strata, Allen et al. (2002) inferred that the pseudotachylyte must be of Proterozoic rather than Phanerozoic origin. 4. Kilometer-scale distribution of pseudotachylyte 4.1. Introduction The results presented in this study are based upon field mapping of the distribution of pseudotachylyte at various scales. The kilometer-scale distribution was mapped on air photos at scales of 1:4930 and 1:2470. The meter-scale vein geometry was characterized locally from large-scale mapping completed on surveyed outcrop grids and from photo mosaics taken 1.5 m above outcrops and subsequently mapped in the field. At the kilometer scale, individual pseudotachylyte fault veins are exposed within eight NE-striking fault zones that are mapped for 7.3 km along strike (Fig. 3). Each fault zone is typically less than 5 to 20 m wide and consists of two or more parallel to sub-parallel, through-going fault veins and associated splays and injections. Mapped fault zones locally consist of only a single fault vein along the northeastern-most segments of most zones. Cross-cutting relationships between individual veins are uncommon, and could only be observed between thin veins (b 0.6 cm) in several areas along the southwestern and central parts of fault zone IV, where dense linear networks of pseudotachylyte are common. At least two older, overprinted generations of pseudotachylyte are locally present within this fault zone, including some that has been subjected to crystal-plastic deformation. However, the volume and abundance of older veins appears to be subordinate. As a system, the fault zones diverge to the northeast from a narrow 170-m-wide outcrop belt to a maximum known cross-strike width of 2.3 km. The cumulative mapped length of the fault zones is more than 21 km, and 5 km of this length represents very well to partly exposed fault veins. In some areas, linear to sinuous veins within fault zones can be traced along continuous exposures as much as 130 m long. Most outcrops are shorter and are separated by a few meters to a few hundred meters of cover that locally includes pseudotachylyte-bearing float. 4.2. Structural framework of host rock The attitude of foliation and lineation within the host rock defines three structural domains herein referred to as the northern, central, and southern domains (Fig. 4; Table 1). The central domain contains the majority of the pseudotachylyte-bearing fault zones. The northern domain does not contain any pseudotachylyte, and the southern domain is host only to fault zone I, and the northeastern-most segments of some other fault zones. In all domains, foliation mostly strikes northeast, except where it defines the hinges of SW-vergent, map-scale isoclinal folds (e.g., Fig. 3, regions 1, 2, 4, and 5). The domains are primarily differentiated on the basis of foliation dip. Approximately one quarter of the foliation in the central and southern domains dips V 758 but in opposite directions, whereas the southern domain has more vertical foliation (Table 1). Both kilometer- and meter-scale relationships show that the orientation of fault zones is parallel to preexisting, NE-striking, sub-vertical foliation in the J.L. Allen / Tectonophysics 402 (2005) 37–54 43 B. GEOLOGIC MAP VIII VII region 5 VI IV A. INDEX MAP Area of Fig.5 Country rock lozenge along fault zone IV Fig.2b region 4 V Fig.2c, 2f, 2g Fig.2d III II Fig.2e region 2 region 3 I region 1 NW strand SE strand = fold trace N EXPLANATION - Map B 39˚ 24’ 30” ’ 106˚ 26 Quaternary cover Pseudotachylyte (one or more fault veins, dashed where inferred) Gneiss showing foliation traces Unimproved road 1 km Fig. 3. (A) Index map and (B) geologic map showing distribution of pseudotachylyte-bearing fault zones (labeled with Roman numerals) within sub-vertically foliated gneiss. Index map highlights locations referenced in text and shows generalized envelope surface of map-scale, SWvergent isoclinal folds. Region 4 includes elongate bodies of calc-silicate gneiss. 44 J.L. Allen / Tectonophysics 402 (2005) 37–54 Northern Domain Central Domain Southern Domain Fig. 4. Map showing distribution of structural domains in the same area as Fig. 3. Equal-area stereonets show 1% area contours of poles to foliation in each domain; lineation plotted as points. Structural data are further summarized in Table 1. In the southern domain, foliation is mostly subvertical and distinctly steeper than the central and northern domains, which both have a higher proportion of foliation dipping V 758. The northern domain does not contain pseudotachylyte-bearing fault zones and is characterized by north-dipping, rather than south-dipping foliation. Homestake shear zone. The northeast-fanning geometry of the system as a whole reflects both the wedgeshaped geometry of the central domain and the distribution of SW-vergent folds developed within the host rock prior to pseudotachylyte generation. An outcrop-scale analog of the host-rock structure is provided by Fig. 2A, which shows a meter-scale fold. From the hinge area above the hammer, the fold limb includes parasitic minor folds and broadly fans out to the left of the photograph. The limbs of parasitic folds generally mimic the distribution of the pseudotachylyte-bearing fault zones mapped in Fig. 3. 4.3. Fault zones I–III Fault zone I (Fig. 3A) represents the southeasternmost boundary of the pseudotachylyte system and is mapped for 3.6 km along strike. The zone is interpreted as a series of four right-stepping fault segments and is lost beneath cover along strike at the southwestern and northeastern ends. Region 1 is an example of a rightstep, and the fault zone consists of at least three concordant fault veins (b 0.8 to 1.5 cm thick) separated by a distance of 1.5 to 3.5 m. The veins are anomalously hosted by sub-vertically foliated granitic J.L. Allen / Tectonophysics 402 (2005) 37–54 45 Table 1 Structural domains Foliation Northern domain Central domain Southern domain Lineation n General dip direction Vector mean (strike and dip) % with dip V 708 % with dip V 758 n General trend Vector mean (trend and plunge) 85 331 512 N S S 0608, 708N 0678, 808S 0738, 818S 17.6% 15.4% 4.7% 25.9% 23.6% 7.6% 4 66 75 N S–SE SW 3498, 688 1748, 748 2478, 708 rock for 360 m. South of the main mapped strand of fault zone I (regions 1 and 2, Fig. 3) are three short exposures of fault veins that are solitary or paired and commonly b 0.5 cm thick. The southeastern-most of these exposures includes several 3- to 6-m splays that follow an abrupt foliation change from 0698 (main vein trend) to 0928 and resemble a horsetail splay at the end of a dextral fault (e.g., Kim et al., 2004). Fault zones II and III are mapped for 1.5 km and 1.2 km along strike (Fig. 3A). Both zones diverge from a 17-m-wide zone on the southwest and follow foliation northeastward. Individual veins are poorly exposed in the region of divergence and the fault zones are primarily mapped on the basis of extensive float within a platy orange-brown zone of weathered gneiss and pseudotachylyte that is intensely fractured. Both zones are lost in cover to the southeast and are not found in outcrops farther along strike, suggesting the maximum length of these fault zones is less than 1.6 km. Northeastward from the region of divergence, fault zone II is locally exposed as a parallel pair of 1 to 2 mm veins separated by 0.2 to 1.5 m. In contrast, fault zone III locally swells to a 20-m-wide zone consisting of at least six individual, foliation-parallel fault veins that are as much as 2 cm thick. 4.4. Fault zone IV (central fault zone) Fault zone IV is mapped for 5.8 km along strike, and is the longest and best exposed of the eight fault zones (Fig. 3). Veins are lost along strike at both ends of the fault zone within regions of modest exposure, suggesting that this may closely approximate the interconnected, along-strike end of the system. The thickness and density of pseudotachylyte veins within the fault zone decreases from southwest to northeast in a manner that is systematic rather than random, and is the subject of further analysis in a subsequent section. Region 3 illustrates two fault strands; a 440-m-long northwestern strand, and an en echelon southeastern strand. The northwestern strand consists of a cluster of 4 to 6 very thick (typically 2–21 cm) fault veins that strike 0608 and are hosted by a band of concordant foliation. The concordant fault veins are bounded on both ends by foliation that strikes ~ E–W (oblique to fault veins), suggesting that discordant foliation may have served as a local structural barrier to rupture propagation. The southeastern strand in region 3 is a series of poorly exposed and discontinuous outcrops of pseudotachylyte that appear to have a rightstepping, en echelon distribution. Small exposures indicate that this segment of the fault zone consists of at least four concordant 1- to 6-cm-thick fault veins across a 10-m-wide zone. The middle segment of fault zone IV (region 4) is highlighted by a well-exposed country-rock lozenge framed by fault veins that define a structural horse (Fig. 3). Fault veins along the northwestern margin of the lozenge cross cut foliation at high angles (locally perpendicular) for 250 m (illustrated by Fig. 2C). Along the southeastern margin of the lozenge, 4 to 6 fault veins follow the southern limb of a SW-vergent isoclinal fold, which locally defines the boundary between the southern and central structural domains (Fig. 4). In most areas, the magnitude of displacement and sense of shear along fault veins is difficult to establish, mainly because of a scarcity of mutual cross-cutting relationships. However, a consistent sense of shear is documented in several locations along fault zone IV. One example is presented in Fig. 5, which is an outcrop-scale map showing four of six parallel fault veins that comprise the width of fault zone IV at this location. One fault vein dextrally offsets a sub-vertical felsic dike by 1.7 m, and another dextrally offsets a vertical quartz vein by 0.4 m (fault veins b and d; Fig. 5A). Two fault veins are 46 J.L. Allen / Tectonophysics 402 (2005) 37–54 A 0.4 m d 1.8 cm Location of C Location of B 1c m c 2.7 0.7 cm 2.2 cm 1 cm 0.8 cm 1.2 cm cm 2.2 cm 0.8 cm 1.5 1.5 cm 1.7 m b cm 1 cm 0.6 m N 0.11 m 0.35 m 0.3 cm 1m a SE NW Up C covered NW 1 cm B SE Up Explanation Pseudotachylyte Fault (no pst) Foliation trajectories (subvertical) Subvertical marker (quartz and feldspar) covered 5 cm A T 15 cm A T Fig. 5. (A) Outcrop map of four foliation-parallel, principle-displacement fault veins that encompass most (75%) of the width of the central fault zone (fault zone IV) NE of the country rock lozenge. Note dextral offsets (recorded in meters within boxes) and splay faults. Fault veins are vertical and typically b 1–4 mm thick; local thick lenses of melt are shown with maximum thickness recorded in centimeters. Two partially exposed veins are located 5.7 and 7 m to the northwest (b 0.7 cm thick; not illustrated) and comprise the remainder of this segment of fault zone IV. Map A was completed in the field from photo mosaics on a gridded horizontal exposure. Map location indicated on Fig. 3. (B and C) Vertical cuts illustrating up-to-NW component of displacement, suggesting an overall dextral oblique slip. Circled letters bAQ and bTQ indicate strike-slip component of displacement away and toward the reader, respectively. Maps B and C were drawn in the field on photo mosaics taken on a southwest-facing vertical cut. exposed in rare vertical cuts (Fig. 5B–C), and they show deflection of foliation consistent with an upward displacement of the northwestern side relative to the southeastern side. These observations indicate a dextral oblique slip at the mid-point of fault zone IV. Total dextral strike-slip offset must be N 2.1 m, and the magnitude of up-to-northwest vertical offset is unknown. Similar observations on horizontal exposures elsewhere along fault zone IV demonstrate dextral displacement. These include: (1) a pair of thin fault veins (Fig. 2C) that show deflection of foliation J.L. Allen / Tectonophysics 402 (2005) 37–54 <1 <1 <1 <1 consistent with dextral shear; and (2) a band of subvertical quartz-feldspar ribbons that are dextrally offset by 0.4 m along the northeastern-most segment of fault zone IV. Prominent millimeter- to centimeter-scale leucosomes are obliquely cut in many places by fault veins, although offsets are difficult to determine, even where other relationships suggest only small (centimeter-scale) displacement. This suggests that a component of dip-slip displacement may be responsible for mismatches, and is consistent with observations illustrated in Fig. 5. 4.5. Fault zones V–VIII <1 <1 1. 8 <1 <1 1. 4 <1 47 5. 5 Maximum fault vein thickness >6 cm 1 1. 3 Maximum fault vein thickness 3-6 cm <1 1. 5 Maximum fault vein thickness 1-3 cm <1 <1 <1 39 11 21 1 N <11 14 <1 3. 2 2. 3 <1 2. 1 <1 3. 4.9 1 2. 3. 4 1 <1 2 1. 9 7 6 7 4 .6 4 3 6 2 .3 8 .2 <1 <1 Country rock lozenge along fault zone IV <1 <1 1. 1 Maximum fault vein thickness <1 cm Fault zone V is mapped for 3.3 km along strike and bounds the northwestern limb of a southwest-vergent isoclinal fold along most of its length. The southeastern limb is bounded by fault zone IV (region 4, Fig. 3). The fault zone consists of two to nine fault veins that are sub-parallel, linear to sinuous, and locally bifurcate along strike to form elongate lenses that have centimeter- to meter-scale widths and apparent lengths of several meters to inferred lengths of as much as 110 m. At least two sub-millimeter veins near the southwestern-most exposure of the fault are hosted by a tabular, foliation-parallel band of mylonite. Some veins are dextrally offset by steeply dipping, northwest-side-up, microshears that are parallel or oblique to the foliation. Fault zones VI, VII, and VIII are mapped for 2.3, 1.5, and 1.8 km along strike, respectively. All three zones are characterized by a predominance of only a few very thin (b 0.1–0.5 cm), sub-parallel fault veins distributed across narrow fault zones (commonly 1–5 m wide). Fault zone VI is a left-stepping, en echelon fault zone that exhibits thicker fault veins on the southwest (as much as 1.3 cm), and thinner veins (0.05–0.4 cm) northeastward. Fault zones VII and VIII are locally separated by a SW-vergent fold (region 5) and are parallel to the limbs, similar to relationships observed between fault zones IV and V. 6 1 km 6 8 3 5. Thickness trends Fig. 6. Map showing spatial distribution of maximum observed thickness of pseudotachylyte. Numbers indicate thickness in centimeters. Mapped area is the same as that mapped in Fig. 3. The maximum observed thickness of individual pseudotachylyte fault veins systematically decreases from southwest to northeast. The thickest veins (3–21 48 J.L. Allen / Tectonophysics 402 (2005) 37–54 log vein thickness (cm) 1. 1.6 11 INDEX MAP 1 10 >1 cm 0 9 N VIII VII <1 cm -1 10 0 20 m 1 km position within fault zone (m) 2. 1.6 VI Pseudotachylyte 1 1.6 0 3 2 -1 3. IV V 10 20 30 40 m 1 45 6 7 III II 0 8 I 1.6 1 0 -1 0 10 20 40 m 8. 1 1 0 0 -1 -1 0 0 10 m 9. 1.6 5. 1.6 1 1 0 0 -1 6. 1.6 30 1.6 4. 1.6 0 -1 10 m 0 10.1.6 1 1 0 0 -1 0 10 m -1 7. 1.6 0 11.1.6 1 1 0 0 -1 0 10 20 m -1 0 Fig. 7. Cross-strike transects showing distribution and thickness of pseudotachylyte. Cross sections plot log of vein thickness (cm) vs. position within fault zone (m); gray horizontal bar shows 1 cm thickness for reference. Position axis (x-axis) on all transects shows distance from the SE margin of the fault zone on the left (0 m), to the NW margin on the right. All are drawn with the same horizontal and vertical scales. Index map shows transect locations. J.L. Allen / Tectonophysics 402 (2005) 37–54 cm) are common at the southwestern-most end of fault zone IV (Fig. 6), where one 39-cm-thick pseudotachylyte breccia is also present. Maximum vein thickness along fault zone IV decreases towards the northeast, and thicknesses of 2–6 cm are common along the middle part of the fault zone. Northeast of the pseudotachylyte-bounded, country-rock lozenge, maximum observed thicknesses abruptly decrease. Other fault zones typically exhibit pseudotachylyte fault veins that are less than 1 cm in thickness (b 1 to 3 mm veins are common). In order to characterize the cross-strike distribution of fault and injection veins within individual fault zones, eleven cross sections were measured in wellexposed sites where fault-zone boundaries could be identified. The cross sections are plotted as histograms showing the log of measured vein thicknesses versus the position of veins within individual fault zones along a taped, cross-strike transect (Fig. 7). The thickness of all veins encountered on transects was plotted, and a distinction between fault and injection veins is not made. The cross sections show a southwest to northeast decrease in fault-zone width, maximum vein thickness, and cumulative vein thickness for individual fault zones (Fig. 8). Cross sections 1 through 7 were measured along fault zone IV and clearly illustrate a northeastward, systematic decrease in maximum vein thickness from 39 to 1.4 cm, and a corresponding decrease in fault-zone width from a mean of 37 m in sections 1 through 3, to a mean of width 16 m in sections 4 through 7. The cumulative 70 Fault zone width (m) Thickness (m or cm) 60 Maximum vein thickness (cm) Cumulative thk (cm) 50 40 thickness of pseudotachylyte also decreases northeastward along fault zone IV, except at Section 5 southwest of the pseudotachylyte-bounded country-rock lozenge, which includes 14 veins thicker than 1 cm. 6. Discussion A crucial question is whether the systematic distribution of pseudotachylyte-bearing fault zones in the Homestake shear zone represents the kilometerscale fossil record of one (or several) earthquake ruptures, or whether it represents dozens (or hundreds) of ruptures that formed meter- to decameter-scale fault veins that coalesced along strike to form a multikilometer system. The goal of this discussion is to address this question and compare the system with some well-known earthquakes. Kanamori and Heaton (2000) postulated that large magnitude earthquakes (M w N 5–6) normally should be influenced by thermal processes such as frictional melting, and other studies have interpreted frictional melting to have occurred during recent earthquakes based upon seismic data and energy-budget estimates (e.g., Kanamori et al., 1998; Nadeau and Johnson, 1998). Theoretical analyses of the generation of frictional melt on a planar fault (McKenzie and Brune, 1972; Cardwell et al., 1978) and laboratory experiments (Spray, 1995) indicate that the rise in temperature (DT) on a fault plane is directly proportional to displacement (d), frictional shear stress (r f), and slip velocity. Similarly, Kanamori and Heaton (2000) considered the gross thermal budget for a zone of faulting and suggested that DT is proportional to d 1/2. The seismic moment (M 0) is a scalar that describes the size of an earthquake as: M0 ¼ DlA 30 20 10 0 0 2 4 6 8 10 12 Location: SW (left) to NE (right) Fig. 8. Plot of thickness versus location along strike for fault zone width, maximum vein thickness, and cumulative vein thickness for data and locations presented in Fig. 7. Position axis (x-axis) shows location of transects 1–11. 49 ð1Þ where l is the rigidity (shear modulus) of the host rock, D is the mean displacement, and A is the area of rupture. Following Hanks and Kanamori (1979), the seismic moment is related to moment magnitude (M w) by: Mw ¼ 2=3log M0 10:7 ð2Þ Since higher mean displacement generally correlates with larger seismic moment and corresponding M w, frictional melting might be more common for large 50 J.L. Allen / Tectonophysics 402 (2005) 37–54 M w earthquakes as suggested by Kanamori and Heaton (2000), and importantly to this discussion, more extensive along specific segments of frictionally melted fault zones that underwent greater displacement. Seismic inversion has been used to interpret subsurface slip distribution along several well-known earthquakes. Some ruptures, such as the 1979 Coyote Lake earthquake (M w = 5.9) on the Calaveras fault, California, show maximum slip at the hypocenter and a progressive decrease in slip upwards and laterally (Oppenheimer et al., 1990). In contrast, many other earthquakes exhibit a more variable pattern of slip at depth that is characterized by maximum slip distal to the hypocenter (e.g., Hartzell and Heaton, 1983; Cohee and Berzoa, 1994; Wald and Heaton, 1994). For example, the 1992 Landers, California earthquake (M w = 7.3) was characterized by ~ 2 m of slip at the hypocenter, and by a maximum slip of ~ 6 m at a distance of 30 km from the hypocenter (Wald and Heaton, 1994). The rupture propagated northwestward along three en echelon fault segments that encompassed numerous faults, and each of the three segments shows an elliptical region of maximum slip on the southeast (Fig. 9A). These data suggest that moment release was concentrated in three regions (Cohee and Berzoa, 1994; Wald and Heaton, 1994). A similar pattern was observed for the propagation of the rupture associated with the 1979 Imperial Valley earthquake (Fig. 9B). These examples illustrate the known heterogeneity of slip along earthquake ruptures and provide an analogy for an interpretation of features observed in the Homestake shear zone. Several observations suggest that a record of multikilometer-scale rupture may be preserved along the Homestake shear zone. These include: (1) the alongstrike persistence of fault veins at the outcrop scale, and pseudotachylyte-bearing fault zones at kilometer scale; (2) the systematic northeastward decrease in maximum vein thickness, fault-zone width, and cumulative vein thickness; and (3) the overall geometry of the entire system, which fans northeastward similar to a horsetail fan near the terminus of a dextral fault zone. A similar scale and geometry of rupture has been observed in recent strike-slip earthquakes (e.g., Tchalenko and Ambraseys, 1970; Hartzell and Heaton, 1983; Cohee and Berzoa, 1994; Lin et al., 2002). An additional feature of the Homestake pseudotachylytes is the lack of common and widespread cross-cutting relationships, which is emphasized by the interconnectivity of dextral principal displacement fault veins and associated dextral splays at the mid-point of the central fault zone (IV) in Fig. 5. A remarkably similar geometry was observed by Grocott (1981) in decameter-scale, paired fault-vein systems in Greenland that were interpreted to be the result of a single rupture event, since it is improbable that a linked system may have sequentially formed without offsetting or visibly bounding pseudotachylyte within earlier veins. By analogy, the fault veins in Fig. 5 are also interpreted to have formed during a unique rupture. This implies that the majority (at least four of six) of fault veins across the width of the midpoint of fault zone IV formed during a single rupture, as opposed to an array of coalescing or overlapping smaller ruptures that sequentially generated pseudotachylyte and grew laterally through time. The Homestake and Greenland observations contrast with pseudotachylytes described in many other locations that clearly show widespread cross-cutting relationships indicative of multiple episodes of melt generation (e.g., Sibson, 1980; Hobbs et al., 1986; Swanson, 1988; Magloughlin, 1989; Toyoshima, 1990; Koch and Masch, 1992; Maddock, 1992; Techmer et al., 1992; Camacho et al., 1995; Curewitz and Karson, 1999; Fabbri et al., 2000; Theunissen et al., 2002; Lin et al., 2003; Austrheim and Andersen, 2004). Similarly, seismogenic faults preserved in surficial sediments along active fault zones are typically offset by faults produced by younger earthquakes (Weldon et al., 2004). The observations along the Homestake shear zone suggest that the central fault zone (IV) is largely the result of a single multi-kilometer coseismic rupture. Since the fault zones are mutually separated, it is not possible to determine whether more than one may have been produced in response to the same seismic event, and it is clear that there are at least two subordinate generations of melt along the southwestern half of fault zone IV. However, the along-strike connectivity of fault veins in each fault zone suggests that most of the melt volume along any given zone formed contemporaneously. The systematical decrease of the abundance and thickness of veins towards the northeast may reflect a northeastward decrease in displacement. If so, then the region of thick pseudo- J.L. Allen / Tectonophysics 402 (2005) 37–54 A n erso NW p Cam lts Fau k/Em Homestead Valley Fault Roc 0 51 >5m 3-5 m Joh SE nso n Va lley Fau lt 1-3 m H >5m 1-3 m 1-3 m 15 km 5 km Br B aw ley 10 km Fa ult NW Imperial Fault SE 0 0.2-1.0 m 5 km H >1 m 5 km C eudotachylyte Homestake ps system SW NE 0 6–12 >12 3–6 H? 1–3 <1 1 km Fig. 9. Slip distribution and rupture geometry for two California earthquakes (A and B), compared to a hypothetical model of slip in the Homestake pseudotachylyte system (C). (A) The 1992 Landers earthquake and (B) 1979 Imperial Valley earthquake (simplified from Hartzell and Heaton, 1983; Archuleta, 1984; Sibson, 1989; Wald and Heaton, 1994; Yeats et al., 1997). Both events had dextral strike-slip focal mechanisms and exhibit several concentric high-slip zones away from the hypocenter (H). Upper sketch in each image shows rupture pattern along faults in map view; lower sketch in each image shows an interpretation of slip distribution (in meters) through the seismogenic zone. (C) Comparative conceptual model outlining inferred slip distribution through the seismogenic zone for a hypothetical multi-kilometer rupture in the Homestake pseudotachylyte system. Contours show maximum melt thickness in cm rather than slip, since melt thickness is considered as a proxy for displacement (thickness data compiled from Fig. 6). Vertical (depth) scale is not precisely known; however, microtextural features discussed in Section 3.2 suggest an origin in the lower half of the seismogenic zone, and a local overprint of mylonitized pseudotachylyte suggests an origin near the base of the seismogenic zone. tachylyte on the southwestern end of the system (Fig. 6) may have been formed within a zone of concentrated moment release as shown in Fig. 9C, or it may represent an actual hypocenter. In this model, a rupture may have propagated to the northeast, away from a zone of moment release or the hypocenter. 52 J.L. Allen / Tectonophysics 402 (2005) 37–54 A minimum estimate of seismic moment and moment magnitude can be obtained from Eqs. (1) and (2) if it is assumed that the length of a rupture that produced one or more fault zones was at least equal to the trace length of the entire system (7.3 km), and the rupture area, A, is taken as a square. If a typical crustal value of l is used (3 1011 dyn/cm2; Scholz, 1990), and mean displacement is approximated by 2.1 m, which represents the minimum known displacement at the mid-point of fault zone IV, then M 0 = 6.9 1025 dyn cm, and M w = 6.3. It is quite possible that fault zone IV may have been produced in response to a much larger rupture that extended through the entire seismogenic zone (~ 15 km) and/or for a longer extent along strike. The minimum magnitude estimate, however, is within the range (M w = 5 to 7) for which the theoretical analysis of Kanamori and Heaton (2000) predicts temperature rise to be sufficient for frictional melting of non-granulated rock under dry conditions. Their model further predicts contemporaneous development of a zone of melt-filled faults, rather than a single melt layer. This phenomenon appears to be preserved in each of the fault zones of the Homestake shear zone. veins and splay faults at the mid-point of the central fault zone provides local evidence for preservation of a single rupture event that formed at least 75% of the fault veins at one location. A paucity of widespread cross-cutting relationships further suggests that the central fault zone and perhaps others record at least one multi-kilometer rupture of M wz6.3. The systematic distribution and geometry of pseudotachylytebearing fault zones, combined with maximum and cumulative thickness trends suggests a northeastward rupture directivity. Determination of earthquake source parameters from outcrop-scale exposures of pseudotachylytes has proved to be difficult, primarily because of complications associated with measurement of displacement (Di Toro et al., 2005). The Homestake pseudotachylyte system, however, is extensive and is comparable in scale and geometry to surface ruptures. This allows for application of traditional methods of paleoseismology to provide estimates of some basic source parameters. Mapping at the fault-system scale in other pseudotachylyte-bearing fault zones where exposure is sufficient may prove useful as a unique paleoseismic tool for interpreting earthquake rupture at hypocentral depths at a scale that has been overlooked. 7. Conclusion Acknowledgements Detailed field mapping demonstrates that the distribution of pseudotachylyte fault veins in the Homestake shear zone is systematic and defines a series of eight northeast-striking fault zones. The thickness of individual fault veins, the width of fault zones, and the cumulative thickness of pseudotachylyte across strike of individual fault zones decreases along the trace of the fault system from southwest to northeast. The entire system exhibits a northeastfanning geometry that is concordant with foliation and localized along the limbs of map-scale, rootless isoclinal folds and parasitic minor folds. The orientation of preexisting fabric and structures is therefore interpreted to have strongly influenced the rupture geometry that resulted in frictional melting. Frictional melting at the mid-point of the central fault zone (fault zone IV) involved an episode of dextral oblique-slip along sub-vertical faults; a minimum strike-slip offset of 2.1 m is observed. Connectivity of parallel, meter- to decameter-scale fault Research was supported by grants from the Andrew W. Melon Foundation administered by the Appalachian College Association. R.D. Hatcher, Jr. provided valuable advice in the field and research space at the University of Tennessee-Knoxville in the early stages of this project. A.M. Hawthorne Allen, S. Abshire, and undergraduate participants in several iterations of the Concord College geology field camp (’99, ’01, ’03) provided meaningful field assistance. Olivier Fabbri and John Grocott provided constructive reviews that helped to improve the final version of the manuscript. References Allen, J.L., 2004. Timing, style, and significance of Cambrian through Laramide brittle reactivation along the Proterozoic Homestake shear zone, Colorado mineral belt. Rocky Mountain Geology 39, 65 – 84. J.L. Allen / Tectonophysics 402 (2005) 37–54 Allen, J.L., O’Hara, K.D., Moecher, D.P., 2002. 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