Bulletin of the Seismological Society of America, Vol. 78, No. 2, pp. 956-978, April 1988 FREQUENCY AND SIZE OF QUATERNARY SURFACE RUPTURES OF THE PITAYCACHI FAULT, NORTHEASTERN SONORA, MEXICO BY WILLIAM B. BULL AND PHILIP A. PEARTHREE ABSTRACT Movements along the Pitaycachi fault since the Miocene juxtaposed different alluvial units and created 2- to 45-m-high fault scarps downslope from a pedimented mountain front prior to 1887. In 1887, a major earthquake formed a 75km-long, ~- to 4-m-high scarp along the trace of prehistoric surface ruptures. Diverse evidence from many study sites indicates that about 200,000 yr elapsed between the prior (youngest Pleistocene) event and the 1887 surface rupture. Cumulative disPlacements of Pliocene(?) to mid-Pleistocene alluvial fans and stream terraces decrease with decreasing age. The trace of the prior rupture was largely buried by sheets of late Pleistocene and Holocene piedmont alluvium. Late Pleistocene soils are offset about the same amount as the height of the 1887 scarp. Valleys that are as much as 40 m deep and 0.5 to 0.9 km wide have been eroded since the prior event; they contain multiple late Pleistocene and Holocene stream terraces that were not faulted until 1887. Pre-1887 alluvial fault scarps were degraded to 2 ° to 9 ° slopes before the 1887 event, even in resistant materials such as clay-rich soil horizons with unweathered rhyolite cobbles and calcrete. Scarp height-maximum slope regressions and diffusion-equation analyses for reconstructed pre-1887 scarp profiles indicate that the prior event occurred more than 100,000 yr ago. Acceleration of scarp degradation rates during the Holocene, and/or relatively resistant materials exposed in the scarps, would increase the age estimates to 200,000 yr or more. Very long recurrence intervals are the characteristic style of movement on the Pitaycachi fault. At one site, six ages of diverse valley fills were inset into pedimented granodiorite upslope from the fault between the prior and 1887 events. Only 3 m of relief remained before the 1887 rupture increased the scarp height from 3 to 6 m. Some hillslopes have triangular talus facets of carbonatecemented colluvium that resulted from infrequent fault movements and intervening periods of erosion. Smooth hillsides of resistant volcanic rocks between the facets show that virtually all of the prior surface-rupture event scarps had been removed by prolonged slope degradation. INTRODUCTION The unusual Pitaycachi fault is interesting to earth scientists and planners. It is unusual because the great Sonoran earthquake of 1887 occurred in a region otherwise devoid of historical surface-rupturing earthquakes, and interesting because the 75 km rupture may be the maximum length known for historic normal faulting events. This major seismic event demonstrates the potential for large earthquakes on similar Basin and Range faults in adjacent areas of Sonora, Chihuahua, New Mexico, and Arizona. Unlike many historical ruptures in the Western United States, there is no evidence along the Pitaycachi fault for either Holocene or late Pleistocene surface ruptures and, thus, large magnitude earthquakes. How does one assess the potential for future seismic hazards in a region with such faults? One approach is to determine the frequency and sizes of prehistoric surface ruptures. We used standard techniques such as age estimates based on: (1) soil-chronosequences developed on flights of piedmont alluvial fans and terraces and (2) analyses of systematic degradation of fault scarps in alluvium since their time of formation. 956 QUATERNARY SURFACE RUPTURES OF THE PITAYCACHI FAULT 957 We also described qualitative characteristics of landscapes along the Pitaycachi fault that indicate a great antiquity for the surface rupture that preceded the historic earthquake and very slow, long-term uplift rates. Our studies document the stratigraphic displacements and scarp heights associated with the 1887 and prehistorical surface-ruptures, and indicate that the 1887 rupture trace has been the site of multiple--but very infrequent--large fault movements during the Quaternary. We use the following temporal terms: 1 ky = 1,000 yr; 1 ka = 1 ky before present; 1 my = 1,000,00 yr; 1 Ma = 1 my before present (North American Commission on Stratigraphic Nomenclature, 1983, Article 13; Colman et al., 1987). Subdivisions of the Quaternary are assigned the following ages in ka: Holocene, 10 to 0; late Pleistocene, 125 to 10; middle Pleistocene, 790 (Johnson, 1982) to 125; and early Pleistocene, 1800 to 790. GEOGRAPHIC, GEOLOGIC, AND SEISMIC SETTINGS The 1887 surface rupture occurred in the San Bernardino Valley of northeasternmost Sonora, Mexico, which lies on the western fringe of the Chihuahuan Desert. The southern 25 km of the 1887 scarp is within the Sierra Pilares de Teras (Goodfellow, 1888); the northern 15 km cuts across piedmont alluvial surfaces (Figures 1 and 8) to within 12 km of the Arizona border, and the central 35 km is at the western base of the Sierra de San Luis. Thick sequences of rhyolitic and other volcanic rocks are common in the mountains, and granitic rocks and limestone occur in the Javelina and Capadero areas, respectively. The Mw 7.2 to 7.4 earthquake of 1887 (DuBois and Sbar, 1981; Herd and McMasters, 1982; Natali and Sbar, 1982) occurred along a Basin and Range fault in a region of historically low seismicity. DuBois and Smith (1980) analyzed the intensity patterns and summarized the historical accounts of the 1887 earthquake. Data collected in the San Bernardino Valley in 1978 to 1979 show continuing microseismic activity in the vicinity of the 1887 event (Natali and Sbar, 1982). Quaternary fault scarps occur in adjacent portions of Arizona (Pearthree and Calvo, 1987) and New Mexico (Machette and McGimsey, 1982; Machette, 1986; Machette et al., 1986). Soil-profile characteristics were used to estimate ages of alluvial geomorphic surfaces. The Las Cruces, New Mexico, soils study of the U.S. Soil Conservation Service and soils studies of similar regions (Bachman and Machette, 1977; Gile and Grossman, 1979; Gile et al., 1981) are relevant to this study because the climate, parent materials, topography, and biota are similar to those of the Pitaycachi fault area. Las Cruces is about 250 km northeast of the Pitaycachi area. The altitudes and climate for these two areas and Douglas, Arizona (located 50 km to the northwest of the fault), are compared in Table 1. Two-thirds of the precipitation occurs as summer rains in both the Pitaycachi and Las Cruces areas. Rates of input of atmospheric dust are important in the genesis of argillic and calcic soil horizons (Machette, 1985); Quaternary rates appear to be temporally variable, but large, for both study areas. At higher altitudes in both areas, conditions were marginal for net accumulation of soil carbonate during some Pleistocene wet intervals. The similarities in factors that affect rates of soil formation between the two study areas allow tentative correlation of soils of the Las Cruces and Pitaycachi areas. THE PITAYCACHI FAULT The potential for large earthquakes in the southern Basin and Range Province indicated by the 1887 earthquake stimulated studies of historical and Quaternary 958 WILLIAM B. BULL AND PHILIP A. PEARTHREE N 31 ° KiLometers o~=-=- =--=~,o ~Laa i EXPLANATIOI Quaternary and Tertiary Sedi Undifferentiated 1887 Surface RL 109 ° FIG. 1. Map showing place names and 1887 surface ruptures. Base map showing the main 1887 surface ruptures was providedcourtesyof D. G. Herd, U.S. GeologicalSurvey. surface ruptures along the Pitaycachi lhult. T he fault was named after a prominent local peak at the suggestion of Douglas Shakel (Pima Community College, Tucson, Arizona, oral communication, 1977). Studies of the 1887 rupture were made by Aguilera (1888, 1920), Gianella (1960), and Sumner (1977). Detailed maps that show the distribution of fault scarps in the San Bernardino Valley have been made by D. G. Herd (U.S. Geolological Survey, written communication, 1981). QUATERNARY SURFACE RUPTURES OF THE PITAYCACHI FAULT 959 The central two-thirds of the 1887 scarp is 2~ to 4 m high, but south of Rio de Bavispe and north of Arroyo de los Embudos the scarp typically is only ½to 1½ m high. The trace of the 1887 faulting is especially prominent where graben formation or subsidence due to fissuring of the downthrown block has concentrated local runoff, which has promoted dense vegetation. Fault displacements can be determined at many localities by measuring the vertical offset of soil-horizon boundaries or bedded alluvium across the fault. In addition, scarp heights approximate maximum displacements on steep slopes. Representative scarp heights are noted in Figure 2, but net tectonic displacements may be less than scarp heights because of local subsidence or warping of the downdropped block materials. The morphologies of the 1887 scarps are highly dependent on the materials that have been ruptured as well as on height. The scarp shown in Figure 3 consists primarily of a free face in carbonate-cemented gravel, but has a well-defined debris TABLE 1 COMPARISONS OF ALTITUDE AND PRESENT CLIMATE AT DOUGLAS, ARIZONA, LAS CRUCES, NEW MEXICO, AND ALONG THE PITAYCACHI FAULT Mean Annual Altitude Douglas Las Cruces Pitaycachi (estimated) ." (m) Temperature (°C) Precipitation (ram) 1200 1100-1500 1100-1300 17.3 15.6-14 18-16 300 200-350 250-300 (4A . . . . " J .... i I / . I(12A).------. . . . _.' ~.~',"(9) - /" ~" . . . . " | o k,,,~ , ~ - " ~ "~'-, Escarpa Vleja ~?~ \ : Escarpa "I (5~ Antigua / Javelina .... L - ,.f. ....... 12% ~/......~.~/\_ E 1)Focet(40) f I ~"' / ~''''0-'''~'''''''-'--,.''~~ heightinmeters i/ ' 4J (4B)Figurelocatiors FIG. 2. Map showing informally named study sites (bold lettering) and heights of 1887 scarps in meters; locations of illustrations are shown by figure number in parentheses. 960 WILLIAM B. BULL AND PHILIP A. PEARTHREE : 4m FIG. 3. The 4-m-high scarp in massive carbonate-cemented gravel south of Arroyo Capadero is dominated by a large free-facetopographic element. Blocks of cemented gravel lie on the debris-slope topographic element. slope. Debris slopes are better developed On scarps of unconsolidated gravel or sandy gravel. Three representative profiles of scarps formed by the 1887 event are shown in Figure 4. Subsidence immediately downslope from the scarp (Figures 4b and 5) may be the result of graben formation, fissuring, or both. In Figure 4b, the prefaulting slope is 2 ° downslope from the fault zone, but is 9 ° upslope from the zone. This convex 9 ° slope is the remnant of a 2-m-high, gentle hillslope--a much degraded scarp resulting from a prior and much older surface rupture than the 1887 rupture. EVIDENCE FOR RECURRENT FAULT RUPTURES Fault-zone characteristics Observations of fault-zone characteristics demonstrate the occurrence of multiple ruptures, give clues regarding frequency of rupture and cumulative displacement, and provide important information about tectonic deformation of materials as they influence fault-scarp morphology. The 60 ° to 70 ° west-dipping fault zone is exposed in a 6-m-high bank of Arroyo Hondo; a cross-section of the stratigraphy and structure is shown in Figure 6. Two markedly different alluvial sequences with different deformational styles have been juxtaposed by faulting and are capped by a.) Bolsa site / ~ - 15 ~0~o b.) Javelina site 10 E 4 2 ° 0.2 m 1887 ~ p t u r e ~ 2 . 4 o 1.4° 2° 2 3.6° . 0 0 12: 40 . 110 . 80 F6~9(I3.7 5° . . . . . 120 2j ITI I 0 I 30 40 50 . 160 Distance, 240 200 rn Distance, m c.) Facet site 20E 15- &5o / ~ . ~ ' ~ " 26° 10- / ,1- 5 0 0 20 4.5o ~o /o i i i i 40 60 80 100 Distance, i 120 i 140 160 m FIG. 4. Topographic profiles of the 1887 fault scarp at sites with multiple ruptures. (a) 0.2 m scarp in 3.2-m-high scarp superposed on clayey gravels at the Bolsa site. (b) 3.9 m scarp in carbonate-cemente? gravels at the Javelina site. (c) 3.5 m scarp in clayey gravels at the Facet site. FIG. 5. Aerial view southeast of the 1887 scarp north of Arroyo Capadero. Concentration of local runoff has promoted a dense growth of vegetation in trough of local subsidence immediately downslope from the scarp. Such subsidence may be associated with fissuring such as illustrated in Figure 6 or may reflect the presence of antithetic faults and local graben formation. 961 962 WILLIAM B. BULL AND PHILIP A. PEARTHREE Coarse gravel ~ Mediumgrainedwater laid gravel Pleistocene Medium gravel ~ Debris-flowdeposit [ 1 2 ~'~,, ~ Fault Fracture,open or partly filled with organic matter ~ Boulder ! Fine gravel Pebbly sand / ~ FI~. 6. Cross-sectionof Pitaycachifault and alluvialdepositsexposedin southbank of ArroyoHondo. The 1887 rupture was along the left fault. The other two faults and greatlydifferingalluvialsequences on opposite sides of the fault zone are evidence for multiple fault ruptures and large cumulative displacement. Stream erosion has removedmuch of 1887 scarp alongline of section. bouldery Holocene gravel. Gray-brown (7.5YR 7/2) indurated water-laid alluvium of Pleistocene age comprises the upthrown block. Drag-folding has not occurred, and closed fractures parallel the 1887 rupture plane. Red-brown (5YR 5/6) alluvium of Pleistocene age exposed in the downthrown block consists of water-laid gravels and debris-flow deposits. A sample of the debris-flow matrix, which is plastic when wet, contained 20 per cent silt and 22 per cent clay. Two pre-1887 rupture planes do not penetrate the capping Holocene alluvium, and drag-folded beds abut the faults. The downthrown block also has numerous vertical fissures, largely filled with loose sand and fresh-appearing organic debris, that do not extend from the cohesive reddish clayey Pleistocene alluvium into the overlying noncohesive, sandy Holocene gravel. The structures associated with the faulting shown in Figure 6 represent three different styles of deformation near a major fault. Minor fractures in the upthrown block that parallel the main 1887 rupture plane were probably generated by tensional stresses during the 1887 event, as the basinward block moved away and down from the relatively stable "upthrown block." The drag-folding associated with the prehis- QUATERNARY SURFACE RUPTURES OF THE PITAYCACHI FAULT 963 toric faults in the downthrown block may represent soft-sediment deformation of saturated deposits during Pleistocene fault movement(s). The open fissures (shown in black in Figure 6) on the downthrown block represent a more brittle style of deformation during the 1887 event that affected cohesive dry deposits well above the water table. The orientations of these fissures are appropriate for extensional fractures (Davis, 1984, p. 272) if the dip of the fault becomes slightly less at depth. Pervasive fissuring during the 1887 event, and soft sediment deformation during the prior event, reflect maximal extension of materials close to the fault zone on the downthrown side; they may be major causes of surface subsidence (commonly referred to as backtilting) near normal faults which generally are not exposed as well as at the Arroyo Hondo site. At the Arroyo Hondo site, the two different styles of deformation of the downthrown block, faults of different ages, and different juxtaposed stratigraphies all indicate multiple prehistoric ruptures and substantial cumulative displacement by the Pitaycachi fault. Pre-1887 fault scarps Our studies of the pre-1887 fault scarps demonstrate a long history of infrequent prehistorical movements of the Pitaycachi fault, The time that has elapsed since the surface rupture that preceded the 1887 event (hereafter referred to as the prior surface-rupture event) is evaluated in three ways: (1) estimated ages and fault displacements of soils formed on alluvial geomorphic surfaces; (2) analyses of topographic profiles of pre-1887 fault scarps; and (3) genera! appraisals of the time needed to form erosional and depositional elements of faulted landscapes. Fault scarp height-surface age relationships. Single-rupture-event scarps are simple compared to multiple-rupture event scarps, which are a composite of two or more times of surface rupture; both are common along the trace of the Pitaycachi fault. Single-rupture-event scarps are characterized by extensive preserved original surfaces adjacent to the fault zone, with tectonically induced erosion or deposition restricted to the immediate vicnity of the 1887 rupture trace. Displaced remnants of original piedmont surfaces commonly have the same slope. Multiple-rupture-event scarps typically have steeper slopes on the upthrown than on the downthrown sides of the 1887 trace (Figure 4a), which generally occurs near the bases of preexisting subdued scarps (Figure 4, a and b). Previous surface ruptures induced erosional retreat of the scarp crests into the original surfaces upslope from the fault, resulting in convex scarp slopes that are steeper than the original surfaces. This erosion was accompanied by depositional steepening downslope from the fault as scarp-derived colluvium adjacent to the fault and a wash slope of alluvium that accumulated as a new alluvial surface on the downslope original surface. Thus, remnants of preserved original surfaces that are unaffected by erosion or deposition, if still present, are relatively distant from the fault zone (scarp-crest widths are 60 to 200 m) compared with distances to original surfaces associated with singlerupture-event scarps (scarp-crest widths are 2 to 5 m). When viewed normal to the fault trace, multiple-rupture-event scarps appear as gentle slopes, with abrupt basal steepening caused by the 1887 displacements. The historical surface rupture caused a segmented scarp profile. Repeated episodes of tectonically induced scarp erosion tend to result in multiple segments of topographic profiles of scarp crests, new alluvial slopes on the downthrown side of the fault, and renewed aggradation on alluvial fans deposited by small streams that breach the scarp. Soil-profile characteristics can be used to estimate ages of alluvial surfaces faulted by single or multiple events and provide a way of bracketing the general times of 964 WILLIAM B. BULL AND PHILIP A. PEARTHREE the prior rupture event. Calcium carbonate, iron oxides, and clay accumulation within soil profiles of semi-arid regions (Figure 7) are particularly useful indicators of soil age. The extensively studied and relatively well-dated soils near Las Cruces, New Mexico, have parent materials and profile characteristics similar to those of the Pitaycachi area. Holocene alluvium in both study areas tends to be less gravelly than the Pleistocene alluvium. Brownish gray B horizons characterize the Holocene soils in contrast to the bright reddish-brown of the Pleistocene B horizons which FIO. 7. Late Pleistocene typic haplargid paleosol capped by Holocene deposits in the north bank of the Huella de los Caballos. The upper part of the calcic horizon (IIBkm) has a stage III carbonate morphology. The overlying truncated argillic horizon (IIBt) has a strong angular blocky structure and thick peal argillans; it is about 30 cm thick. A layer of lag gravel is present at the base of the Holocenc sands (ICk). Survey rod is numbered in decimeters (10 cm). QUATERNARY SURFACE RUPTURES OF THE PITAYCACHI FAULT 965 are rich in iron oxides. We assume that the minimum time needed to attain a given stage of carbonate morphology is about the same in the two soil study areas. Stages of carbonate morphology are summarized in Table 1. In noncalcareous gravels at Las Cruces, about 2 to 4 ky are needed to accrete stage I coatings on pebbles and cobbles, 10 to 40 ky for stage II, 120 to 200 ky for stage III, and roughly 500 ky for stage IV (Gile and Grossman, 1979; Gile et al., 1981; Machette, 1985). The times needed to develop these stages may be less for gravel with limestone clasts. Comparison of carbonate accumulation between the two areas is complicated by the fact that late Pleistocene climates in the Pitaycachi area favored leaching of carbonate from soil profiles, except where calcareous lithologies are present. Early Pleistocene soils have stage V to stage VI petrocalcic horizons where carbonate is present in the parent material, whereas soils in similar topographic positions in the landscape that lack carbonate parent materials typically have minimal carbonate accumulation, but have thick and strongly developed argillic horizons. Approximate ages were assigned to the single- and multiple-rupture-event alluvial geomorphic surfaces by evaluating the degrees of development of both argillic and calcic horizons (Table 2). Holocene and late Pleistocene surfaces have been ruptured only by the 1887 event. Surfaces of early(?) and mid-Pleistocene age also were ruptured by the prior event at the Bolsa, Arroyo de los Embudos, Capadero, and Javelina localities; scarp heights ranging from 2 to 8 m are sums of the 1887 and prior rupture events. Thus, the prior surface-rupture event occured after deposition of early and mid-Pleistocene alluvium and before deposition of late Pleistocene alluvium. Comparison of the soils in the Pitaycachi area with the semi-arid upper piedmont soils of the Las Cruces area indicates that the late Pleistocene surfaces are 100 to 200 ka and that the mid-Pleistocene surfaces are about 200 to 500+ ka. TABLE 2 STAGES IN THE MORPItOGENETIC SEQUENCE OF SOIL CARBONATE ACCUMULATION IN GRAVELLY ALLUVIUM (AFTER MACHETTE, 1985, e. 5) Stage Diagnostic Morphology Distributionof CaC03 Calcic Soils I Thin, discontinuous coatings on pebbles, usually on undersides. Coatings sparse to common. II Continuous, thin to thick coatings on tops and bottoms of pebbles. Coatings common, some carbonate in matrix, but matrix still loose. III Massive accumulations between clasts; becomes cemented in advanced form. Essentially continuous dispersion in matrix. Pedogenic Calcretes IV Thin (<0.2 cm) to moderately thick (1 cm) laminae in upper part of horizon. Thin laminae may drape over fractured surfaces. Cemented platy to weak tabular structure and indurated laminae. Horizon is 0.51 m thick. V Thick laminae {>1 cm) and small to large pisolites. Vertical faces and fractures are coated with laminated carbonate (case-hardened surface). Indurated dense, strong platy to tabular structure. Horizon is 1-2 m thick. VI Multiple generations of laminae, breccia, and pisolites; recemented. Many casehardened surfaces. Indurated and dense, thick strong tabular structure. Horizon is commonly >2 m thick. 966 WILLIAM B. BULL AND PHILIP A. PEARTHREE The estimated minimum age of the prior event is 100 ka, based on soil information and may be as old as 500 ka. Thick, very red, Bt horizons, with >40 per cent clay and stage IV carbonate (Table 3) are pedogenic features that develop over 200 to 500 ky time spans from sandy gravel parent materials. The mid-Pleistocene surfaces record only one pre-1887 surface-rupture event, and displacements calculated from ~reconstructed pre-1887 scarps (1.0 to 3.6 m) indicate that the prior event had surface offsets similar to those of the 1887 event. If late Cenozoic displacements along the central part of the Pitaycachi fault characteristically were 2 to 3 m, the early Pleistocene Escarpa Vieja surface, which is offset roughly 15 m, records as many as five surface-rupture events. The even older 43-m-high Escarpa Antigua may have required 5 my to form if major surfacerupture events have occurred at average return periods of 300 to 500 ky 300 ky return period x 43 m total displacement = 4.9 Ma). 2.5 m characteristic displacement The cumulatively greater displacement of alluvial geomorphic surfaces with increasing age demonstrated by Table 2 shows that episodic faulting has occurred during much of the late Cenozoic, even though evidence has been preserved only at a few localities. Surface ruptures have repeatedly terminated at the Bolsa site, the northern end of the 1887 scarp. An aerial view of vegetation and soil patterns associated with a 3- to 6-m-high scarp (Figure 4a) on an early(?) Pleistocene surface are shown in Figure 8. The scarp dies out 1 km to the north. The toe of the scarp separates areas of markedly different soil types and plant density on the downthrown and upthrown sides. The 1887 displacement was only 0.1 to 0.3 m. Repeated infrequent displacements during the Pleistocene induced accumulations of pebbly clayey sand downslope from the fault, and the formation of a surficial lag gravel that protects clayey gravels on the 1° to 3 ° slopes of the scarp crest. Morphologic analysis of the pre-1887 fault scarps. Fault-scarp morphologies provide clues about the length of time that elapsed between the prior and 1887 surface ruptures. The most commonly used methods to estimate scarp age from scarp morphology are the relations between scarp height and maximum slope angle (Bucknam and Anderson, 1979) and variations on diffusion models of scarp degradation (Colman and Watson, 1983; Mayer, 1984; Nash, 1984; Hanks et al., 1984). Reasonable application of these methods to pre-1887 Pitaycachi fault scarps depends on: (1) being able to remove the 1887 component of total surface rupture and (2) evaluation of rates of scarp degradation in the San Bernardino Valley, compared to those in regions where fault scarps of known age have been studied. We graphically removed the 1887 scarp from 17 topographic profiles of multiple-rupture-event scarps and used two quantitative methods and One qualitative method to estimate the age of the prior surface rupture. The relative youthfulness of the 1887 fault scarps combined with gentle slopes of prior scarps makes removal of the 1887 segments from scarp profiles fairly straightforward. Pre-1887 fault scarps were reconstructed by projecting scarp segments immediately above and below the 1887 scarp into the middle of the scarp and moving the segments vertically until they were contiguous (Figure 9). Scarp heights and vertical surface-displacement data were then obtained from the reconstructed QUATERNARY o SURFACE RUPTURES OF THE PITAYCACHI 967 FAULT ° I I I ~ I o o z ~ = z o ¢q z 8 o z c~ o~ ¢q to 5"q ~ ceJ ¢~ Le5 "~ cD ¢.~ o0 o0 ¢D o9 oo Z ~ oo ~D l> o c~ o ;g ag C¢ a~ ~ o ;g z + c~ ~° + 0~ o ¢# ~9 ~9 ~9 0J -5 -a ~'5 ~ ~ oo ~ o 968 WILLIAM B. BULL AND PHILIP A. PEARTHREE profiles. The validity of the prior scarp reconstructions depends on: (1) accurate delineation and removal of the 1887 scarp from the profile and (2) preservation of the steepest pre-1887 scarp-slope segment above or below the 1887 scarp. Post-1887 rounding of scarp crests and toes by erosion and deposition creates a small uncertainty in defining the 1887 component of multiple-rupture-event scarps, but pre1887 topographic elements were identified by segments above and below the scarp with similar or identical slopes. If the steepest pre-1887 scarp slopes were obliterated by the 1887 surface rupture or subsequent erosion, the maximum pre-1887 slope is underestimated and scarp-age estimates are too young. Assigning age estimates to fault scarps through morphologic analysis, whatever the specific method, requires evaluation of climatic and lithologic variations between the San Bernardino Valley and areas where dated scarps have been studied. The most widely used dated scarps in the Western U. S. are those of the highest Lake Bonneville shoreline of central Utah (Bucknam and Anderson, 1979). Studies o f other dated scarps in Idaho (Nash, 1984; Pierce and Colman, 1986) and New Mexico (Machette, 1986; also cited in Hanks et al., 1984) provide further information on rates of scarp degradation. Although the climates of these areas are not identical, all are semi-arid. Sonora and New Mexico receive greater amounts of intense summer rainfall, and central Utah and Idaho winters have many more diurnal freeze-thaw cycles. Most scarp materials in the San Bernardino Valley probably are at least as resistant to erosion as the scarp materials in the other study areas, and the scarps typically are underlain by cobbly and houldery gravels of unweathered welded tuff embedded in pedogenic clay. Vegetation on the fault scarps typically consists of low desert bushes of moderate density; grass cover is very sparse. We tentatively conclude that rates of scarp erosion under the present climate in Sonora are similar to, but possibly lower than, rates in Utah, Idaho, and New Mexico. Past regional climatic changes also affected rates of scarp degradation. More effective soil moisture during times of full-glacial climates probably sustained more vegetation in the presently semi-arid parts of Arizona, New Mexico, and Sonora. The Holocene has been a time of accelerated hillslope erosion in the southwest deserts (Bull, 1979) because of less plant cover and monsoon thunderstorms (Spaulding and Graumlich, 1986). Machette (1986) shows that the rate of scarp degradation averaged over the past 30 to 40 ky is ~ to ¼ of the average Holocene rate of degradation. Using the relatively fast Holocene scarp-degradation rates for older scarps will tend to underestimate true scarp age. Three different methods were employed to estimate the age of pre-1887 scarps along the Pitaycachi fault from their morphologies. The first is a plot of maximum slope angle against log of scarp height (Figure 10A). Data points from individual Pitaycachi scarp profiles are plotted, as are regression lines from Holocene or latest Pleistocene scarps in Utah (Bucknam and Anderson, 1979) and New Mexico (Machette and McGimsey, 1982); a regression line from about 100 ka fault scarps along the Santa Rita fault zone of southeastern Arizona (Pearthree and Calvo, 1987) is included for comparative purposes. No significant regression line can be obtained from the Pitaycachi data, but all but one data point near the Santa Rita regression line, suggesting the pre-1887 Pitaycachi scarps, formed about 100 ka. Two somewhat different dating methods based on the diffusion equation were also used to estimate the age of pre-1887 scarps. Hillslope processes on transportlimited slopes (slopes at the angle of repose or less) change the altitude of any point on the slope with time (~y/~t) as a product of a constant of diffusivity (c) and slope QUATERNARY SURFACE RUPTURES OF THE PITAYCACHI FAULT 969 FIG. 8. Trace of the Pitaycachi fault across early(?) Pleistocene piedmont surface north of Arroyo Cajon Bonito; view to south. The fault scarp appears as a dark band, and the contrast in texture and tone is the result of differing soil types and plant densities. Gravelly soils are in the foreground and more clay-rich soils in the middleground. Total scarp height is 3 to 6 m and appears to be the result of small repeated fault displacements. curvature (62y]Sx 2) (Nash, 1980) @/~t=c Uy/~x 2. (1) H a n k s et al. (1984) propose using a solution to this diffusion equation in order to model scarp degradation after the imposition of a vertical step in t o p o g r a p h y (size = 2a) on a pre-existing slope (b) y(x, t) = a e r f ( x / 2 ~ f ~ ) + bx. (2) In equation (2), y is the altitude of a p o i n t relative to the scarp mid-point, x is the horizontal distance f r o m the mid-point, t is the scarp age, and e r f ( x / 2 , f ~ ) is the error function of the a r g u m e n t x/2,f~ct. T h e model scarp profile t h a t m o s t closely resembles the actual scarp profile defines the best value for ct. 970 WILLIAM B. BULL AND PHILIP A. PEARTHREE 7 A.I 6 1981 Fault Scarp Profile 5 E 4 ¢,. .$ -r 3 2 p profile j 1 0 ---c- Projectionof pre-1887sudace i 0 i 20 40 60 Distance, rn "~ B. I ReconstructedP r e ~ 4 E3 e- 2 / l ~ Reconstructedprior _fansudace _ 0 • ~ • 20 i 40 • 60 Length, m FIG. 9. Graphical reconstruction of pre-1887 Pitaycachi fault scarp south of Escarpa Vieja. (A) 1981 fault scarp profile. Lines with open circles show projection of pre-1887 fault scarp surface. Vertical displacement represented by 1887 event is about 1.3 m. (B) Topographic profile of 1981 scarp with the estimated 1.3 m of 1887 displacement removed. Lines with open circles illustrate about 1.4 m of vertical surface displacement of original fan surface in the prior event. Nash (1984) proposed another method for estimating scarp ages based on the diffusion equation, which assumes a finite initial slope equal to the angle of repose of the scarp-forming materials. He develops a relationship between (tc/H2)tan2~ and tan s / t a n ~, where H is the initial fault offset, ~ is the angle of repose minus the slope of the surface prior to faulting (0), and/~ is the steepest present scarp slope less 0. This relationship defines a value for tc for each scarp profile. These two methods deliver unique products of scarp age and the diffusivity constant for each scarp profile, but estimates of scarp age depend on calibrating the diffusivity constant. Spatial variations in scarp materials (and perhaps temporal variations in climate) cause uncertainty in determining appropriate values of c for the San Bernardino Valley. We have acknowledged this uncertainty by using maximum and minimum values of c determined from studies of the Bonneville shoreline scarps and late Pleistocene fault scarps in New Mexico (1.0 to 0.3 × 10 -3 mZ/yr; Hanks et al., 1984; Machette, 1986), thereby obtaining minimum and maximum age estimates for each scarp profile. These age-range estimates were then compiled in histograms to obtain modal estimates for the age of the prior event and to give a sense of the variability in the age estimates (Figure 10, B and C). 30 o I n d i v i d u a l s c a r p profiles, Pitaycachi fault O} IA' I 25 '10 20 ....... New Mexico ......... Bonneville ..................... S o u t h e a s t e r n & O 15 o 10 E E 5 Arizona / o o o -~'"" o 8 °o o ....... o o 0 10 Scarp height, m 12- B.I rdF/~l 10. "~ = 101 n=17 c~ = 1.0 m2/ky c2= 0.3 rn2/ky ~2=335 E 8'~ 6- J~ E 4 z 0-49 50 - 99 100 - 149 Age, 150 - 199 200 - 250 >250 ka c.I ~/,~ c1= 1.0 m2/ky I ~:~ ::::f c 2 = 0 . 3 n12/ky iii!i!i!iiiii!!il iii!ii!i 6 = 94 ~ = n=17 245 ~:ii:ii~:~iiili!:::iiii:: E l~:ili!i:i~i:!i:i:-! !,:'i::~i~:ii~::i!!i ;!i ILl 4 ~:~i:ii!i!i!!:i!:::i!:i i~i:::i!iiii~/ .,Q i:ii~ii~i,i'~:i!i:i!i!i ' !i!:iiii~ii:i:i~i~i:~ l E 2:2 • 0-49 50 - 9 9 100- 149 150-199 ii~::i¸i~ :i:::~: 200-250 >250 Age, ka FIG. 10. Age estimates of the time of prior surface rupture along Pitaycachi fault based on scarp morphology. (A) Maximum scarp-slope angle versus scarp height using regression lines from 5 ka fault scarps in New Mexico (Machette, 1986), 15 ka Bonneville shoreline scarps from Utah (Bucknam and Anderson, 1979), and about 100 ka fault scarps from southeastern Arizona (Pearthree and Calvo, 1987). (B). Estimates of time of the prior surface-rupture event using a finite initial scarp slope equal to the angle of repose 33 ° (Nash, 1984). Using a value of cl = 1.0 m2/ky (from Hanks et al., 1984), the mean age estimate (~) is 101 ka; using a value of c2 = 0.3 m~/ky (based on Machette, 1986), the mean estimate is 335 ka. (C) Estimates of time of the prior surface-rupture event using an initial vertical step in topography and modeling of the whole scarp profile (Hanks et al., 1984). Maximum and minimum values for c are the same as in (]3). 972 WILLIAM B. BULL AND PHILIP A. PEARTHREE A pre-Holocene age for pre-1887 scarps is clearly indicated by both methods. Using a finite initial scarp slope, a scarp age of 20 to 60 ka is suggested if the maximum of c is correct, while if the minimum value of c is a better approximation of the diffusivity, the scarp age is apparently 100+ ka. Profile modeling (Hanks et al., 1984) suggests an age of between 20 and 80 ka for the prior event using the higher value for c, while the lower c value indicates an age of 100 to 200 ka (Figure 10C). If late Pleistocene rates of scarp degradation were lower than Holocene rates, and/or are lower in the San Bernardino Valley than in other parts of the Western United States because of more resistant scarp materials, then applying the lower value for the average diffusivity is more likely to be correct, and an age of 100 to 200 ka is indicated for the prior surface-rupture event. Faulted landform assemblages A third way of estimating the return period since the prior surface-rupture event involves qualitative evaluations of the time needed to degrade hillslopes and erode valleys. Hillslopes. Some hillslope morphologies reflect the interactions between continuous degradation and very infrequent episodes of uplift. The Pitaycachi fault separates basaltic bedrock hillslopes from basin alluvium about 6 to 10 km eastnortheast of Colonia Morelos. Repeated uplifts have steepened the footslope and thereby have created conditions favorable for continued erosion of colluvium and bedrock upslope from the fault. Rates of hillslope denudation vary along the fault. Triangular facets that are remnants of former higher levels of footslopes are preserved locally (Figure 11), where denudation rates are relatively low. The substantial scarp heights at the downslope margins of the triangular facets suggest they are the product of many surface-rupture events. Stage V and locally stage VI pedogenic carbonate in the surficial materials of erosional remnants suggest that they are early Pleistocene or older. Such hillslope remnants have resisted erosion in part because cementation by carbonate has strengthened the volcanic rock and colluvium. Rillwash and sheetflow have been diverted to the flanks of the triangular outcrops where denudation is relatively rapid. The intervening lower footslopes have been inset since the prior surface-rupture event and provide a clue as to the time that has elapsed since the prior event. Erosion has obliterated the prior event fault scarp in basalt between the facets. Such virtually complete scarp degradation is suggestive of several hundred ky between surface-rupture events. Hillslope elements that were ruptured by pre-1887 events are even more difficult to discern where less resistant materials are present. Bouldery Tertiary alluvium underlies ridge-and-ravine topography about 1 to 2 km southeast of the Facet study locality (Figure 2). Erosional remnants that record former hillslope topographies are not present. Instead, subtle slope steepening and subdued triangular facets are present upslope from the 1887 scarp, as is the case for the Facet locality (Figure 4c). Such virtual obliteration of topographic effects of the prior displacement probably requires at least 100 ky. Valleys. Regional downcutting along the Rio San Bernardino has caused extensive piedmont dissection of basin fill along the east side of the San Bernardino Valley. Erosion has created 40- to 50-m-deep valleys since the prior surface-rupture event along Arroyo de los Embudos and Arroyo Hondo. Arroyo de los Embudos is a 1-km-wide valley cut into the "Stock Tank" alluvial geomorphic surface of midPleistocene age; this surface has been ruptured by multiple events. Valley downcutting began after deposition of extensive mid-Pleistocene piedmont alluvium. The QUATERNARY SURFACE RUPTURES OF THE PITAYCACHI FAULT 973 FIG. 11. Aerial view along the northwest side of faulted bedrock hills 7 km east-northeast of Colonia Morelos. Erosional wedges of lava flows (10 to 35 m high) and carbonate-cemented colluvium immediately upslope from the 2 m high 1887 scarp are indicative of large amounts of cumulative late Cenozoic uplift caused by displacements along the same fault. The lack of pre-1887 fault scarps between these isolated remnants of former hillslopes is indicative of the long time span and extensive erosion that occurred between the prior and 1887 surface-rupture events. valley contains three mid(?) to late Pleistocene cut terraces with well-developed argillic soil horizons and a late Holocene fill terrace; none of these terraces were ruptured prior to 1887. The topographic cross-valley profile of Figure 12 depicts Pleistocene terraces as high as 30 m above the channel of Arroyo de los Embudos that were not ruptured by the prior event. Aggradation of valleys cut into a dissected pediment has occurred repeatedly at the Javelina site (Figure 13 and Table 4). Correlation of the Pleistocene-Holocene stratigraphic contact exposed in the scarp face with that exposed in the fanhead trench downslope from the fault indicates an 1887 displacement of 3.1 m. Before 1887, the fault scarp was only 2½ to 3½ m high. About 2 to 4 m of downcutting and subsequent backfilling is represented by five valley fills exposed in the scarp face. The fills have a great variety of lithologies, colors, and sedimentary structures, which reflect different combinations of climatecontrolled changes in weathering and erosion of sediments from the hillslopes, and in discharges of water and sediment. The older fills have redder hues, whereas the younger ones have gray hues. Not all of the six valley fills are associated with the stream system of the modern channel in Figure 13. By viewing the planimetric trends from the top of the scarp, it is readily apparent that the valley fills were derived from three different stream 974 WILLIAM B. BULL AND PHILIP A. PEARTHREE ' a.) Arroyo de los Embudos 50 1' /Mu/tlpIs-rupture SfocMa•k surface 40 ~ / e - r l 0 5o 4o G/ngle-ruptur5 Plei~tocene terraces [00 ~00 300 400 500 600 700 3O 2O I0 0 9OO Boo meters / b,) Arroyo Hondo 50 m - /oo / 30 site 3,O '01 O i ~ v a l i n a 50 __Singleruptur~Pleistocene terrace ~ 0 ",,.______V" ' ~r~ , -- 1 O0 20b meters t 'o , ' 300 ' ' 0 o r o l i fo i i 20 il / i iI , i 30 4o 8 6~ 4 2 I, O 50 meters FIG. 12. Profiles across valleys that have been eroded since the prior surface-rupture event (a) Arroyo de los Embudos. (b) Arroyo Hondo. (c) Small wash at the Javelina site. systems, This accounts, in part, for the diversity of alluviums. Fill units 2, 5, and 6 were derived from the fluvial system north of the cross~section channel, and fill 1 at the right side of the section was derived from the stream system to the south. Fill units 3 and 4 were derived from the stream system of the present valley. Such shifting of streams from different source areas indicates that a lack of faulting resulted in relief that was sufficiently low over long periods of time to preclude permanent stream-channel entrenchment. Fill unit 1 may have been a sheet of piedmont alluvium deposited on pedimented bedrock. The time span required for the numerous climatic changes associated with the six periods of valley degradation and aggradation, and the subsequent diagenetic reddening and cobble weathering, is estimated to exceed 0.5 my, and includes the 1887 and only one prior surfacerupture event. Pediments. The erosional backwearing of mountain fronts to form the gently sloping bedrock plains--pediments--requires the passage of long time spans, during which there has been relative tectonic stability. Pediments are formed through processes of hillslope retreat; therefore, rates of pedimentation are comparable to rates of hillslope denudation. Even in rocks that are moderately susceptible to weathering and erosion, such as granitic rocks, the rates of denudation within the semi-arid study area may be less than 200 m/my, based on regional studies of denudation made by Schumm (1963), Judson and Ritter (1964), and Mayer (1982). The pediment immediately upslope from the Pitaycachi fault at the Javelina site is ½to 1 km wide, and the pediment embayment formed on carbonate rocks farther north (Figure 5) is several kilometers wide. Such extensive pediments, locally common upslope from the Pitaycachi fault, have been deeply incised by valleys. Thus, it appears that several million years of tectonic stability occurred in the late(?) Tertiary, during which pediments were formed. Renewal of displacement along the Pitaycachi fault and regional valley downcutting occurred in the latest Cenozoic. The pediments appear to have been formed during the Tertiary when denudation rates greatly exceeded low rates of uplift and before the reestablishment or strengthening of the extensional stresses responsible for the Plio-Pleistocene 975 QUATERNARY SURFACE RUPTURES OF THE PITAYCACHI FAULT 8 NW Mid-Pleistocene 6 ~.,~, bedrock Holocene ~ H01ocene ~ I SE - - ~ a) 2 0 t t 2 J 6 i i 10 i i t 14 J t 18 J 22 t i 26 i J , 30 Meters FIG. 13. Section of valley fill units exposed in the fault scarp at the Javelina site. See Table 4 for descriptions of Holocene, late Pleistocene, and mid-Pleistocene deposits. Comparison of the maximum hues of soils and fill units listed in Tables 1 and 3 suggests that fill 6 is of Holocene age, fill 5 was deposited during the late Pleistocene, and fills 1 to 4 are early to mid-Pleistocene in age. TABLE 4 STRATIGRAPHY OF VALLEY FILLS AT THE JAVELINA SITE* Numbered Aggradation Event of Figure 13 Lithology Dry Color of Weathered Alluvium Weathering of Granodiorite Cobbles 6 Sand, silty Brown (7.5YR 4/3) Unweathered cobbles to iron oxide stains along fractures in solid cobbles 5 Gravel, clayey Bright reddish-brown (5YR 5/8) to bright brown (2.5YR 5/8) Iron oxide stains along fractures in solid to punky cobbles 4 Sand, clayey, cross-bedded Reddish-brown (2.5YR 4/8) No cobbles present 3 Gravel, clayey Reddish-brown (5YR 4/8) to bright brown (2.SYR 4/8) Punky to grussy cobbles 2 Gravel, sandy Dull orange (7.5YR 7/4) Punky to grussy cobbles 1 Gravel, clayey Bright reddish-brown (5YR 5/6) to reddish-brown (2.5YR 4/6) Grussy remnants of cobbles * For interrelations between these valley fills and estimated ages, see Figure 13. normal faulting. Similar histories of landforms and geomorphic processes have been noted in Arizona (Pearthree and Calvo, 1987) and New Mexico (Machette, 1986). CONCLUSIONS The Pitaycachi fault of northeastern Sonora, Mexico, has been the site of infrequent but large surface ruptures. The 75-km-long, ½- to 4-m-high 1887 scarp may be the longest known historical surface rupture of a normal fault in western North America. Evidence from segmented topographic profiles of multiple-ruptureevent fault scarps along the trace of the 1887 rupture indicates that surface displacement of the prior event also was about 2 to 3 m and probably occurred in the late mid-Pleistocene. Estimates of the time span between the prior surface-rupture event and the 1887 event involve morphologic analyses of scarp profiles, characteristics of soil profiles on alluvial geomorphic surfaces that were unfaulted until 1887, extent of hillslope topographic changes caused by erosion since the prior event, and histories of valley 976 WILLIAM B. BULL AND PHILIP A. PEARTHREE erosion and alluviation between the prior and 1887 events. The following conclusions are the basis for estimates of the time elapsed between the prior and 1887 events. 1. Late Pleistocene alluvial geomorphic surfaces were not ruptured until 1887, but late mid-Pleistocene surfaces were ruptured by both the prior and 1887 events. 2. The upper half of multiple-rupture-event scarps on mid-Pleistocene surfaces are 2 to 4 m higher than the 1887 increment of scarp height, by typical pre1887 scarp segments slope only 3½° to 9°. A plot of maximum scarp slope angle against log of scarp height for 17 pre-1887 scarp profiles was compared with regressions for 5 to 100 ka scarps in New Mexico, Utah, and southeastern Arizona. The position of the Pitaycachi data points indicates that the prior rupture occurred at least 100 ka. 3. Two types of diffusion-equation analyses indicate a substantial age for the prior event. An age of 100 to 200 ka is probable if late Pleistocene rates of scarp degradation were lower than Holocene rates, and/or a lower value for the diffusivity constant is used because scarp materials along the Pitaycachi fault are more resistant to erosion than materials in the New Mexico and Utah scarps. 4. Hillslope fault Scarps in volcanic rocks that were formed as a result of the prior surface rupture have been obliterated by erosion. 5. Valleys that are 30 to 45 m deep and as much as 1 km wide, with flights of late Pleistocene terraces, have been formed entirely since the prior event. 6. Deposition of six climate-controlled Quaternary valley fills has occurred immediately upslope from the Pitaycachi fault. Streams were able to repeatedly shift laterally across low drainage divides because of the lack of uplift and relief provided by recurrent movement along the fault. All of the aforementioned lines of evidence support our contention that about 100 to 200 ky elapsed between the prior and 1887 events. Early Pleistocene surfaces have been offset a total of 9 to 13 m, which suggests that the average return period between major surface ruptures (of 2 to 3 m) during the Quaternary may have been about 0.3 to 0.5 my. Scarps that are as high as 43 m are indicative of recurrent late Cenozoic displacements along the Pitaycachi fault. However, the total amount of late Quaternary uplift appears to be at least an order of magnitude less than that for normal faults in the more tectonically active parts of the Basin and Range province in Utah, Nevada, and California. Approximate vertical-slip rates during the Pleistocene are only 0.1 m/ky for the Pitaycachi fault, whereas slip rates in the more active parts of the province are approximately 0.1 to 0.5 m/ky. ACKNOWLEDGMENTS This work was supported by the National Science Foundation Grants EAR 78-03648 and EAR 8008212 ("Seismic and Geomorphic Studies of Quaternary Tectonism in the Arizona Seismic Belt"). We greatly appreciate the friendly and whole-hearted cooperation of Ramon Salcedo of Rancho Chirriones, Augustin Trevino of Rancho Javelina, and Manuel Gomez of Rancho Jucural. We are indebted to our many graduate student colleagues at the University of Arizona for manuscript review, assistance in the field, and for sharing many a campfire. Steven Natali was generous and thoughtful in his capacity as a field guide and geophysicist, and we appreciate the continued support and exchange of viewpoints provided by Marc Sbar. Larry Mayer and Robert Bucknam shared their scarp-profile data, and Darrell Herd mapped the 1887 rupture. Michael Machette's many thoughtful review suggestions contributed greatly to the coherence and completeness of the final manuscript. Roger Bull drafted the figures. 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