Abstract
The Northern Anqiu–Juxian Fault (NAJF) is one of the most active faults in the Tan-Lu Fault Zone (TLFZ), which produced the Anqiu M 7 earthquake in 70 BC. However, there is no clear understanding of the surface rupture caused by this historical earthquake. In this study, we determined the earthquake rupture characteristics of the NAJF based on high-precision surveying, geophysical exploration and drilling profiles. Based on an analysis of 87 horizontal offsets of gullies, we estimated a characteristic offset of ∼ 5 m along the NAJF for a rupture length about 130 km. Geophysical exploration results revealed a shallow geometric distribution of stepovers in the NAJF. We concluded that the ∼ 5 m offset and the rupture length of about 130 km are both in agreement with an empirical relationship among the magnitude, offset, and rupture length and imply that the ∼ 1 km wide stepover could not have terminated ruptures in the Anqiu M 7 earthquake. The relationship among the coseismic offset, magnitude, and surface rupture length of a strike-slip fault show that the 70 BC Anqiu earthquake was more likely to have had a magnitude of M ∼ 7.5.
Introduction
The Tan-Lu Fault Zone (TLFZ) is about 2,400 km long and the largest active strike-slip fault zone cutting through the lithosphere in Eastern China (; ) (Figure 1A) The Anqiu–Juxian Fault (AJF) is a significant branch of the TLFZ from Anqiu to Tancheng in Shandong Province (Figure 1B). The AJF is part of the TLFZ but is ∼ 340 km long and divided into two segments by the Juxian Basin: the Northern Anqiu–Juxian Fault (NAJF) from Anqiu to Juxian and the Southern Anqiu–Juxian fault (SAJF) from Juxian to Tancheng (). The 1668 AD Tancheng M 8.5 earthquake occurred on the SAJF and was one of the largest paleoearthquakes in China (). The surface rupture length, coseismic offset, and recurrence interval of the SAJF have been analyzed in previous studies. analyzed the horizontal offsets of gullies and inferred that the surface rupture of the Tancheng M 8.5 earthquake was more than 200 km long and the maximum coseismic dextral slip displacement was ∼ 9 m. Paleoseismic results have suggested that earthquakes occurred in the SAJF at 3,000- to 3500-years intervals with similar magnitudes (; ; ; ). In comparison with the SAJF, two historical earthquakes of the NAJF (the 70 BC and 1668 AD Anqiu earthquakes) were recorded in ancient texts, and a magnitude of M ∼7 has been estimated for these earthquakes (). The latest seismic () and global positioning system (GPS) () data have both indicated that the NAJF has been at a late stage of fault locking and at a considerably higher risk of large earthquakes than the SAJF. However, considerable controversy surrounds earthquake recurrence in the NAJF (; ; ). The characteristic displacement of the paleoearthquake was determined in a previous study, but only a few dislocations were surveyed because of total station technology limitations (). An additional challenge to the low dislocation record is that several rivers flow across the NAJF and bury the trace of the fault. Consequently, there are many short fault segments (with lengths of only ∼ 20 km), such that only the exposure regions of the fault have been mapped and are not matched the magnitude of two historical events. Thus, the geometry and coseismic displacement of the NAJF needs to be determined to establish the earthquake recurrence law of the NAJF.
FIGURE 1
The geometry and earthquake characteristics of a fault are important for assessing the seismic hazard involved (Zielke et al., 2015) and predicting future earthquakes (; ; ). A survey of the offset of geomorphic markers, e.g., mountain ridges, terrace risers, and stream channels, can be used to determine the fault kinematics (; ; ; ) and thereby analyze the coseismic displacement and rupture history along the fault (; ; ). Geophysical exploration and drilling can reveal the geometry of faults in depth. In particular, stepover positions of faults on the surface, e.g., pull-apart basins, pressure ridges and fault bending zones, can help elucidate the propagation process or rupture termination of faults (; ; ). The latest high-resolution surveying technology, e.g., light detection and ranging (LiDAR) (Zielke and Arrowsmith, 2012), structure from motion (SfM) (; ), and ground penetrating radar (GPR) (; ; ), can be employed to accurately identify the NAJF dislocation that could not be determined in the previous study and provide a new perspective on the data. Consequently, we focused on the kinematics of NAJF and used high-resolution surveying and geophysical exploration to determine the earthquake characteristics of the NAJF. The characteristic displacement was estimated from the statistics of the horizontal offsets of gullies using SfM with unmanned aerial vehicles (UAVs). The NAJF geometry was determined by shallow seismic exploration and GPR and verified using a drilling profile for buried areas.
Background
The TLFZ strikes NNE from South China to Northeast China, with a total length of over 2,400 km (Figure 1A). The TLFZ is generally believed to have originated from the collision of the North and South China blocks (; ) and undergone two stages of sinistral strike-slip ductile shear motion in the Mesozoic and dextral strike-slip motion in the Cenozoic (Zhu et al., 2010). Multiphase activities caused the TLFZ to form five parallel faults, which trended NNE in the Shandong and Jiangsu provinces in East China in the Early Cretaceous () (Figure 1B) and controlled geomorphologic development (; Zhu et al., 2011) (Figure 1B).
The trace of the AJF is composed of a series of discontinuously exposed faults, which developed at the boundary of the Late Quaternary basins. Fault contact with a high dip angle between the Late Cretaceous strata and Late Pleistocene–Holocene sediments is evident (). The AJF is divided into two segments by the Juxian Basin: the NAJF from Anqiu to Juxian and the SAJF from Juxian to Tancheng (Figure 1B). ().
The M 8.5 Tancheng earthquake in the SAJF ruptured with a maximum offset of ∼ 9 m in 1668 AD (). Subsequently, three more paleoearthquakes recurred with similar magnitudes at a recurrence interval of 3,000–3,500 years (; ; ; ). The interval and offset are consistent with an approximately 2.2–2.3 mm/a slip rate in the SAJF determined by geological and GPS methods (; ; ). The NAJF trends NNE with a total length of approximately 135 km, and some parts of the NAJF are buried in two river deposit plains (Figure 1B) (). Trenching did not reveal surface rupture of the M 7 Anqiu earthquake but did provide evidence of two paleoearthquakes that occurred at 2–10 ka BP (; ).
Methods
Offset Surveying
Linear geomorphic markers (e.g., rivers, mountain ridges, and terrace risers) crossing a fault are effective records of the cumulative offset of a fault, from which the offset history can be reasonably inferred (; ; ; ; ). We analyzed Google Earth images to determine the surficial fault traces in the study area and used a DJI Phantom 4 RTK UAV to map areas with offset gullies in the field. The UAV is connected to a continuous operational reference system (CORS) station by a 4G communication system. The UAV is equipped with a 20-million-pixel camera with a complementary metal oxide semiconductor (CMOS) sensor and a GPS that captures photographs with a 3-cm/pixel accuracy at 120 m above the ground. Each photograph provides a high-precision geographic position (vertical 1.5 cm + 1 ppm and horizontal 1 cm + 1 ppm, where 1 ppm indicates an error of 1 mm over 1 km of movement) via real-time kinematic (RTK) technology. Orthoimages and a digital elevation model (DEM) of these areas were derived using Pix4Dmapper photogrammetry software based on SfM survey photographs with a vertical and horizontal accuracy of ∼ 6 cm. Subsequently, gully offsets were measured using LaDiCao_v2, a professional analysis software program developed by Zielke (Zielke et al., 2010; Zielke and Arrowsmith, 2012; Zielke et al., 2015) on the MATLAB platform. Considering the offset measured in the field, the measurement error range of LaDiCao_v2 was within the 95% confidence interval.
Geophysical Exploration
Seismic waves can be produced by an artificial seismic source and propagated in media, such as strata and rocks. Differences in the elasticity of media cause changes in the characteristics (e.g., the speed, path, frequency, and strength) of the seismic waves as they propagate. An analysis of these differences can be used to estimate the parameters (e.g., properties, structure, and geometric locations) of the subsurface strata or rocks. The seismic reflection method was adopted in this study to ascertain traces of buried faults. The main equipment used consisted of an Aries 2.66 digital seismograph and a 20-ton controllable vehicle-mounted vibrator. The observation system used 66 times coverage and was equipped with 400 receiver channels, with a 2-m channel spacing and a 6-m shot spacing. The seismic source was triggered in the middle of the study area.
Ground penetrating radar imagery (GPR) was also a kind of high-resolution geophysical method () and mainly used to investigate the locations and activities of the buried fault in recently studies (; ; ). Electromagnetic waves were transmitted by GPR to penetrate subsurface media. They will penetrate to different depths in different media because of variations in the dielectric constants and electrical conductivities of media. Therefore, the characteristics of the subsurface rock-soil masses can be indirectly inferred from the reflection times of electromagnetic waves recorded by a receiver (). A third-generation MALA Professional Exploration digital radar system with MALA RTA25 antennas (25 MHz) was used in this study. This system can image a subsurface area within 50 m of the surface in detail. The point measurement method was adopted with a 50-m spacing between survey points.
Borehole Drilling
The dip slip between two walls of a fault could result in the vertical offset of existing stratums along the fault and then an unequal thickness layer on each side of the fault due to the rapid deposit in the negative terrain (; McCalpin, 1996). Thus, seven boreholes were dug across the S3 fault to obtain the joint-drilling geologic section and analyse the vertical displacement of the fault from the difference in the depths of layers. The uppermost point was determined based on the age of the latest strata, which is dislocated. An organic carbon sample was extracted from borehole D2 and was dated using 14C at the Beta Analytic test laboratory (USA). The radiocarbon age was calibrated using BetaCal 3.21 with the IntCal 13 atmospheric model.
Results
Dislocation of the Exposed Fault
Fault scarps and offset gullies along the fault are visible in Google Earth (Figures 2A,B). Field geological survey results show that the NAJF trends 20–30° N and begins at Juxian in the south, extending approximately 135 km to Anqiu in the north. There are several distinct outcrops along the fault (e.g., Figure 2C). Our survey showed that the NAJF consists of three discontinuously exposed fault segments that form right-stepping faults (Figure 1B). Between the exposed fault segments, the NAJF is buried in river deposit plains with relatively thick sediments.
FIGURE 2
High-resolution images of the offset streams in representative areas of the NAJF were captured by the UAV. Then high-accuracy orthoimages and DEM (Figure 3) data were obtained from these images. All the gully offsets were interpreted in a high-resolution DEM (Figure 3), verified through orthoimages, and measured by LaDiCao_v2 software. Along the fault traces, almost every offset gully was identified on both sides of the fault scarps with dextral strike-slip. Finally, 87 dextral strike-slip offsets of gullies were collected, including five data points from a previous study () (see Appendix Supplementary Table SA), ranging from 4.0 (−0.9/+0.1) to 50 (+2/−0.5) m (Figure 4).
FIGURE 3
FIGURE 4
Geometrical Exploration of the Buried Fault
The southern stepover is located between S2 and S3 and north of Juxian (Figure 1B). Few paleoearthquake relics have been preserved in this area because of human activities. Thus, two seismic sections, I-I’ (1700-m long) and II-II’ (3326-m long), were placed in the survey area to locate the buried fault (Figure 5A).
FIGURE 5

(A): The locations of the shallow seismic exploration and drilling sites. I-I′ and II-II′ indicate shallow seismic test lines. The black circles in section II-II’ represent boreholes D1-7 (the borehole locations are shown in Figure 6E). (B): A fault outcrop next to the shallow seismic survey lines. (C): Locations of GPR survey lines. (D): A fault outcrop next to the GPR survey lines. The locations of S1, S2 and S3 are shown in Figure 4.
These two seismic sections reveal unequivocal signs of the fault (Figures 6A,B): in both sections, there is a high-energy reflection layer at depths of 20–150 m (T1), which is vertically offset at a site at approximately 800 m in section I-I′ and at sites at 425 and 2,325 m in section II-II’. These phenomena were inferred to result from fault activities. The fault in section I-I′ and the left-branch fault in section II-II′ are S3, dipping to the west at ∼ 65°; the right-branch fault in section II-II’ was inferred to be S2 and dips to the east at approximately 70°. Previous geological data (
FIGURE 6

The results from shallow seismic exploration and drilling in northern Juxian. (A,B): section I-I’ of shallow seismic exploration; (C,D): Section II-II’ of shallow seismic exploration The yellow circles in Figure 6D indicate the locations of boreholes D1–7 (the detailed distribution of the boreholes is shown in Figure 6E). (E): Composite drilling section to the north of Juxian; (F): The fault plane in the broken rock obtained by drilling.
Seven boreholes were drilled to reveal the uppermost point of S3 (Figure 4E). Based on the deposit thicknesses above the bed rock, the borehole drilling depths varied from 20 to 39 m. First, the fault plane was found in the core of borehole D5 at a depth of ∼ 32 m (Figure 6F). The joint-drilling geologic section showed that all strata at the borehole D3 site are higher than those at the borehole D5 site by 1–7.8 m and that the offset of the strata increases gradually from top to bottom, suggesting that the main fault is located between boreholes D3 and D5 and that older strata may have recorded more paleoearthquake events. The light-black clay stratum U2 is the latest offset stratum at the borehole sites and is a Holocene stratum formed at approximately 9,740 ± 30 cal BP according to 14C dating (see Appendix Supplementary Figure SA). Combined with the previous paleoearthquake research (
Five GPR survey lines (L1-L5) were placed along the Qu River plain (Figure 5C). Survey lines L3 and L5 were placed along the line extending from the northern end of S2, and survey lines L1, L2 and L4 were placed along the line extending from the southern end of S1 (Figure 5C).
The two GPR sections in S2 both yielded relatively good stratification information (Figure 7), including two clear stratigraphic boundaries (T0 and T1). Based on a previous study (
FIGURE 7

GPR sections on the line extending from the northern end of S2. (A,B): Section L3 of GPR; (C,D): Section L5 of GPR; T0: The bottom of the Holocene deposits; T1: The bottom of the Quaternary sedimentary deposits. The locations of the two test lines are shown in Figure 5C.
The GPR sections in S1 (Figure 8) show two similar reflection layers, T0 and T1, representing the bottom of the Holocene sediment and the bottom of the Quaternary deposits above the bedrock, respectively. The fault is also located where there are clear changes in the layer depth (the 240–260-m site on L1, 290–360-m site on L2 and 200–250-m site on L4 in horizon). In addition, the burial depths of the Quaternary sediment on both sides of the fault of 17 and 21 m, respectively, the height of 4 m is significantly larger than that of the Holocene sediment, indicating that the fault has been continuously active since the Quaternary. These results were corroborated by the discovery of a fault outcrop (the fault plane dips to 292° at ∼ 62°) in S1 within the basin (Figure 5D).
FIGURE 8

GPR sections on the line extending from the southern end of S1. (A,B): Section L1 of GPR; (C,D): Section L2 of GPR; (E,F): Section L4 of GPR; T0: The bottom of the Holocene deposits; T1: The bottom of the Quaternary sedimentary deposits. The locations of the three test lines are shown in Figure 5C.
Discussion
Characteristic Displacement of the NAJF
Characteristic earthquakes refer to multiple earthquakes that are similar in rupture length, offset distribution and magnitude and occur periodically on a fault during its long-term active period (
In this study, we obtained 87 offset values, all of which were projected onto the NAJF based on distance and statistically analyzed to determine the cumulative offset probability distribution (COPD) (Figure 4). Large offsets tend to correspond to a long activity history, and offsets >25 m do not have statistical significance because of the large time error involved. The coseismic displacement of the NAJF has similar features to that of the SAJF. The horizontal offsets are mostly concentrated in four intervals, for which the COPD peaks are 5.1, 10.3, 15.8, and 20.3 m along the NAJF (Figure 4), i.e., multiples of ∼ 5 m. Despite the relatively few data points, the COPD in S3 exhibits two similar offset peaks at ∼ 5 and ∼ 10 m. These data are consistent with previous research showing that the gully offsets on the AJF are concentrated at 4–9, 14–20, and 28–34 m (
Rupture Length of the NAJF
The rupture segmentation of a fault can be used to evaluate its future seismic risk to serve as an important reference (
The following empirical equations for the magnitude, coseismic displacement (Dco), and surface rupture length (SRL) have been established from the previous study (
The possible SRLs calculated using a Dco of 5 m for a single seismic event (Table 1) range from 93.5 to 115 km, averaging 103.3 km. The data in Figure 4 show that the SRLs in S1, S2, and S3 are 45, 73, and 42 km, respectively, which are all far shorter than 103.3 km. However, the combined length of these three segments of 130 km is relatively consistent with the calculated value. Thus, we infer that the earthquake that led to a Dco of 5 m was caused by a cascade rupture of the three faults. The rupture segmentation method (
TABLE 1
| Empirical equation | a | b | Surface rupture length (km) | Data source |
|---|---|---|---|---|
| logSRL = a+blogDco | 1 | 1.3889 | 93.5 | |
| 0.86 | 1.46 | 115 | ||
| 0.5911 | 2.0243 | 101.4 | ||
| Empirical equation | a | b | Magnitude | Data source |
| M = a+blogDco | 7.00 | 0.782 | 7.54 | |
| 7.0358 | 0.9593 | 7.70 | ||
| 7.43 | 0.52 | 7.79 | ||
| 6.81 | 0.78 | 7.36 | ||
| 7.45 | 0.91 | 8.08 | ||
| 7.0928 | 0.7103 | 7.59 | ||
| 6.996 | 0.854 | 7.54 |
Estimates of the earthquake magnitude and surface rupture length.
Magnitude of the Anqiu Earthquake in 70 BC
Some debate remains regarding the seismogenic fault and magnitude of the Anqiu earthquake in 70 BC (
TABLE 2
| Event | Magnitude | Range | Data source |
|---|---|---|---|
| Tangshan earthquake in 1976 | 7.8 | The epicentral intensity was XI, and the intensity area reaching ≥ V was oval-shaped with a 600-km major axis and a 500-km minor axis. | |
| Xingtai earthquake in 1966 | 7.2 | The epicentral intensity was X, and the earthquake was felt within a radius of approximately 700 km. | |
| Haicheng earthquake in 1975 | 7.3 | The epicentral intensity was ≥ IX, and the earthquake was felt within a radius of approximately 1,000 km. | Zhu and Wu (1982) |
| Heze earthquake in 1937 | 7.5 | The epicentral intensity was IX, and the earthquake was felt within a radius of approximately 360 km. | |
| Anqiu earthquake in 70 BC | ≥7 | The epicentral intensity was ≥ XI, and the earthquake was felt strongly in Xi’an City, located approximately 960 km from the epicenter and where the intensity of the earthquake ranged from IV to V. |
A comparison of historical earthquakes.
Fault Segmentation of the Anqiu–Juxian Fault
Based on previous research (
Conclusion
A microlandform offset analysis was used to statistically analyze the gully offsets on the NAJF. The results show that the minimum dextral horizontal displacements of gullies are mostly 5 m and that large offsets are multiples of 5 m, suggesting that the dextral strike-slip offsets of approximately 5 m correspond to the characteristic displacement of the NAJF and the NAJF has undergone multiple seismic events of comparable scales. The results from a combination of geophysical exploration and borehole drilling show two stepovers with ∼ 1 km widths in the buried parts of the NAJF and probably unlimited rupture propagation in the magnitude >7 earthquake. The relation between the Dco and SRL of the strike-slip faults was used to infer that the entire NAJF was simultaneous ruptured during the latest earthquake. Moreover, according to the intensity distribution patterns of historical earthquakes with magnitudes >7 in North China and the relation between the magnitude and Dco, the magnitude of the 70 BC Anqiu earthquake was probably above 7.5. Therefore, considering that the NAJF and SAJF have different earthquake characteristics, it is reliable to divide the AJF into these two permanent segments for earthquake rupture.
Statements
Data availability statement
The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.
Author contributions
Methodology: HJ, AL, SZ, JZ, and QL; field investigation: HJ, AL, SZ, and QL; analyse: HJ, AL, and SZ; writing—original draft preparation: HJ and AL; funding acquisition: SZ and AL.
Funding
This study was financially supported by the National Key Research and Development Program of China under Grant 2018YFC1504201, the National Institute of Natural Hazards, MEMC (ZDJ2019-16), and the National Natural Science Foundation of China (41402185).
Acknowledgments
We are very grateful to the predecessors for the large body of work on structural characteristics and deformation and the Beta Analytic test laboratory for assistance with 14C data. We also thank our editor, professor Mario Aurelio and two reviewers for their fruitful comments.
Conflict of interest
JZ was employed by the company The Third Railway Survey and Design Institute Group Corporation.
The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Publisher’s note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, orclaim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
Supplementary material
The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/feart.2022.766222/full#supplementary-material
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Summary
Keywords
the tanlu fault zone, the anqiu-juxian fault, the characteristic displacement, geometric distribution, the anqiu M 7 earthquake in 70 BC
Citation
Ji H, Li A, Zhang S, Zhang J and Liu Q (2022) Geometric Distribution and Earthquake Rupture Characteristics of the Northern Anqiu–Juxian Fault in the Tan–Lu Fault Zone, Eastern China. Front. Earth Sci. 10:766222. doi: 10.3389/feart.2022.766222
Received
28 August 2021
Accepted
26 January 2022
Published
17 February 2022
Volume
10 - 2022
Edited by
Mario Aurelio, University of the Philippines Diliman, Philippines
Reviewed by
R. Jayangonda Perumal, Wadia Institute of Himalayan Geology, India
Fabio Luca Bonali, University of Milano-Bicocca, Italy
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© 2022 Ji, Li, Zhang, Zhang and Liu.
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*Correspondence: An Li, lian@ies.ac.cn
This article was submitted to Structural Geology and Tectonics, a section of the journal Frontiers in Earth Science
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