Abstract
Bimodal volcanism in the Cuddapah basin is associated with a cratonic rift setting. The Cuddapah basin consists of five sub-basins (viz., Papaghni, Nallamalai, Srisailam, Kurnool and Palnad) and a total thickness of ~12 km sediments and associated bimodal volcanics. The oval-shaped gravity high observed over the Papaghni sub-basin is due to lopolithic intrusions along listric faults. A basin evolution model is prepared in this context with signatures of active rifting. Mapping and geochemical sampling along the Tadpatri–Tonduru tract along with petrographic observations additionally supports the proposed model. The model presents the mechanism of bimodal volcanism during rifting and sedimentation. Basin evolution with tectonic modifications revealed a link with global tectonic events (e.g., ~1.8 Ga Hudsonian orogeny, ~1.3 Ga Grenville orogeny, ~0.9 Ga Enderbia docking). The stratigraphic disposition of the surge, flow, fall and volcaniclastic deposits in this old Proterozoic terrane indicate the magma history and eruption conditions. The felsic volcanic rocks are classified as rhyolite and rhyodacite. The mafic volcanics are mainly basaltic. Primordial mantle normalized trace element plots indicate enrichment of large ion lithophile elements (Rb, Th and K) along with negative Sr, P and Ti anomalies. The chondrite normalized REE patterns are characterized by LREE enrichment, negative Eu anomaly and flat HREE pattern. These features indicate origin of felsic volcanics through shallow crustal melting with plagioclase either as a residual or a fractionating phase. The mafic rocks of the area are product of shallow mantle melting related to asthenospheric upwelling followed by decompression melting and generation of basaltic magma. This was also associated with lithosphereic stretching, rifting and initiation of sedimentation. The less viscous mafic magma was probably channelized along the rift-related faults. The underplating and intraplating of hot mantle-derived magma supplied heat into the crust. The attendant partial melting of continental crust produced the felsic magma. Different sub-basins within the Cuddapah basin indicates a combined mechanism of rifting and orogenic events.
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1 Introduction
Volcanic eruptions within sedimentary basins are often controlled by deep basinal architecture, basement faults and associated tectonics. Investigations on bimodal volcanic association have significant implications for understanding formation and evolution of cratonic rift basins (Manatschal 2004; Koptev et al. 2016; Goswami et al. 2018; Goswami and Dey 2018). The role of rifting is significant in the formation of accommodation space and channelization of magma and heat flow within the continental crust (McKenzie 1978; Manatschal 2004; Koptev et al. 2016). During the Proterozoic Eon voluminous clastic and chemical sedimentation took place in several cratonic basins in India over the Archaean basement. These Proterozoic basins are important archives of surface processes, volcanism and biological and atmospheric evolution that occurred over a prolonged period. The Archaean rocks of the Dharwar craton in south India form the basement of three such basins, i.e., Cuddapah, Bhima and Kaladgi (figure 1). The Cuddapah basin is located in the eastern part of the Dharwar Craton and hosts ~12 km thick succession of platform sediments exposed over 44,500 km2 (Nagaraja Rao et al. 1987; Chatterjee and Bhattacharji 2001; Ramakrishnan and Vaidyanadhan 2008; Patranabis-Deb et al. 2012; Collins et al. 2015).
The crescent-shaped Cuddapah basin with less deformed western margin and intensively folded and thrusted eastern margin deserves attention. The five sub-basins (viz., Papaghni, Nallamalai, Srisailam, Kurnool and Palnad) within the basin are genetically linked. The earliest formed Papaghni sub-basin comprises of a swarm of dominantly mafic intrusions in the SW (figure 2a, b). The sub-elliptical Papaghni sub-basin outline is noteworthy and it is observed that infilling sediments have also been adjusted with gradual rotation of strike to follow the sub-elliptical outline of the basin margin (Goswami et al. 2016a). Interestingly, the trends of mafic bodies are parallel to the strike of bedding planes. Papaghni sub-basin periphery from north to south shows systematic changes in bedding strike which is NE–SW in the northern part followed by NW–SE in the middle and ENE–WSW to E–W in the southern extreme. The mafic igneous emplacements of the Tadpatri Formation are studied by several workers. However, the associated felsic volcanic rocks have received little attention. The geochemical and geochronological data of the mafic igneous emplacements are more numerous than the felsic volcanic rocks (GSI 1981; Murty et al. 1987; Bhaskar Rao et al. 1995; Anand et al. 2003; French et al. 2008; Chakraborty et al. 2016). According to Dasgupta et al. (2013), rifting within the Dharwar Craton is possibly related to these emplacements at around 1.90 Ga during opening of the Cuddapah basin. A detailed account of structural aspects especially about rift related paleostress conditions in Papaghni sub-basin may be found in Tripathy and Saha (2013), Saha and Tripathy (2015) and Mukherjee et al. (2019).
Broadly E–W profile of about 100 km long Deep Seismic Sounding (DSS) across the basin was studied by Kaila et al. (1979, 1987) and presence of lopolithic structure in the basement up to about 5 km depth (figure 3a, b) was established in the Papaghni sub-basin (GSI 1981; Nagaraja Rao et al. 1987). Despite several remarkable literature availability (Chatterjee and Bhattacharji 2001; Anand et al. 2003; Halls et al. 2007; French et al. 2008; Ravikant 2010), the link between rifting and intrusion of such lopolith remained indeterminate. The mafic igneous rocks are studied with different objectives in some literatures (e.g., Chatterjee and Bhattacharji 2001; French and Heaman 2010; Sesha Sai 2011; Belica et al. 2014; Chakraborty et al. 2016).
This work deals with the tectonic setting of the mafic igneous emplacements encircled inside the Papaghni sub-basin along with a thorough detailed analysis of felsic volcanics and tuffaceous volcaniclastics in Tadpatri Formation. We have selected the best preserved outcrops and mapped (1:50,000 scale) the lava flows and tuffs (figure 4) over ~500 km2 area. The spatial relationship between different volcaniclastic facies is recently recorded where several felsic volcanic textures are identified and discussed hitherto (Goswami et al. 2018; Goswami and Dey 2018). Several felsic volcanic textures are identified and discussed for the first time with a systematic thin section studies under microscope and geochemical analysis of selected samples. The chemical composition of mafic and felsic volcanic and volcaniclastic rocks are used to interpret different aspects of magma history, viz., source of magma, evolution of magma and tectonic environment of magma eruption. The present work focuses mainly on the ~1.86 Ga felsic volcanic rocks of Tadpatri Formation. Mafic igneous rocks of Tadpatri Formation are studied by different workers (Chatterjee and Bhattacharji 2001; Anand et al. 2003; Chakraborty et al. 2016; Sesha Sai et al. 2016).
For the global readers, this paper is relevant as a new insight into lopolith emplacement and rifting. The works after Walker (1966), Saemundsson (1979), Burchardt and Gudmundsson (2009) in the Iceland suggest similar approach where such a work can be undertaken. The objective of the present work is set to address the following scientific issues:
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How is the bimodal volcanism related with contemporary basin evolution?
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What was the possible geodynamic process involved in volcanic eruption?
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What was the possible mechanism of basin evolution?
2 Geological set-up
The Cuddapah basin in southern India extends for a length of about 445 km along the arcuate eastern margin with a mean width of ~100 km. The basin is characterized by quartzite-shale-carbonate cycles and the early sediments of the basin are interspersed with volcanic flows and sills. The arcuate eastern margin is deformed by a prominent thrust system (Nallamalai fold and thrust belt) which is parallel to the Eastern Ghats mobile belt and the East Coast of India (figure 1). The basin is nonconformably lying above the Archaean granitoids and greenstone belts of the East Dharwar Craton (EDC) in the north, south and west (Nagaraja Rao et al. 1987; Saha and Tripathy 2012; Patranabis-deb et al. 2012; Goswami et al. 2016a, b, 2017c; Mukherjee et al. 2019). The eastern margin of the basin is a tectonic margin along which metamorphosed Nellore schist belt rocks have been thrust up on the rocks of the Cuddapah basin. The rocks of Cuddapah basin are divided into the Cuddapah Supergroup and the Kurnool Group. Stratigraphically, the Cuddapah Supergroup is divided into three groups, i.e., Papaghni, Chitravati and Nallamalai Groups (Nagaraja Rao et al. 1987; Lakshminarayana et al. 2001; Chaudhuri et al. 2002; Dasgupta and Biswas 2006; Chakrabarti et al. 2009; Saha and Tripathy 2012; Goswami et al. 2015, 2016c, 2017a, b, 2018; Goswami and Dey 2018). Table 1 shows the summary on stratigraphy, igneous episodes, available age data and mineral wealth of the Cuddapah basin. Cuddapah Supergroup of rocks occur in Papaghni, Nallamalai and Srisailam sub-basin. Kurnool Group occurs in Kurnool and Palnad sub-basins. The western part of the basin is relatively less affected by tectonic activity and sedimentary rocks dip gently (10°–15°). The rocks of Nallamalai Group in the east are intensely folded, with intensity and complexity of folding increasing from west to east. The Srisailam Formation in the Srisailam sub-basin occur unconformably on the Chitravati Group (Patranabis-Deb et al. 2012; Collins et al. 2015). The Neoproterozoic Kurnool Group unconformably overlies the Cuddapah Supergroup and represents two cycles of sedimentation depositing arenaceous-carbonate-shale sequence (Sharma 2011; Collins et al. 2015).
The bimodal volcanic emplacements and intrusive sills are most commonly observed in the Chitravati Group and also in the topmost portion of the Papaghni Group in the Papaghni sub-basin. Major igneous suites associated with the Vempalle and Tadpatri Formations of Papaghni sub-basin are dolerite, picrite and gabbro sills, basaltic flows, felsic volcanic rocks, ignimbrites and ash fall tuffs. The Nagari/Bairenkonda Quartzite and Pullumpet/Curnbum Formations of the Nallamalai Fold Belt are traversed by dolerite sills (Karunakaran 1973, 1976; Dutt 1975; Nagaraja Rao and Mahapatra 1977; Deb and Bheemalingeswara 2008; Sesha Sai et al. 2017). Kimberlite dykes and syenite stocks are reported from the Cumbum Formation (Leelanandam 1980; Das and Chakraborty 2017). Exposures of granite/gneissic rocks with domal structures within the Cumbum Formation are variously interpreted as either intrusives into the sedimentary pile or reactivated portions of the basement gneisses.
Several workers have attempted to date the rocks of the Cuddapah basin (table 1). Table 2 represents a summary of age data within the Papaghni sub-basin. The youngest dated dykes in the basement showed Pb–Pb baddeleyite ages of 2081.8 ± 1.1 Ma (Anil Kumar et al. 2015). The rocks of Cuddapah basin rest unconformably above such dykes. Therefore, the maximum age of Cuddapah basin is <2081.8 Ma. The minimum age of Papaghni Group is calculated by the age of the mafic igneous rocks in Tadpatri Formation as 1.89–1.88 Ga (e.g., Rb–Sr Whole-rock by Bhaskar Rao et al. 1995; 40Ar–39Ar Phlogopite age by Anand et al. 2003; U–Pb IDTIMS Baddeleyite age by French et al. (2008). Sheppard et al. (2017) dated the Tadpatri felsic tuffs at 1862 ± 9 Ma by the zircon U–Pb analysis using the sensitive high-resolution ion microprobe (SHRIMP). Therefore, the age of Tadpatri Formation (excluding the Gandikota Quartzite) can be considered as about 1.86 Ga. The 1207 ± 22 Ma age (U–Pb detrital zircon) of the Gandikota Formation is correlatable with Kurnool Group, which is about 700 Ma younger than the Tadpatri Formation (Collins et al. 2015). In this Palaeoproterozoic volcaniclastics of the Tadpatri Formation, there is a significant event of carbonatization, which has been discussed in earlier (Goswami et al. 2018; Goswami and Dey 2018). Field evidences suggest younger age of such carbonates as compared to the metastable glassy felsic volcanic rocks. However, in this study the actual time of this carbonatization is calculated as ~1.2 Ga by radiometric dating of carbonatized portion (whole rock Pb–Pb).
3 Tectonic set-up
The tectonics of this polyhistory basin, which comprises sub-basins, is a matter of considerable debate (Goswami and Upadhyay 2019; Mukherjee et al. 2019). A plausible explanation on the basis of paleostress reconstruction and multiphase weak deformation (Tripathy and Saha 2013; Saha and Tripathy 2015) revealed punctuated evolution of the Cuddapah basin. According to Dasgupta et al. (2013) rifting within the Dharwar Craton is possibly related to the igneous emplacement ~1.9 Ga during opening of the Cuddapah basin. This age of igneous emplacement is well established by several workers (Chatterjee and Bhattacharji 2001; Anand et al. 2003; Halls et al. 2007; French et al. 2008; Ravikant 2010). This magmatism is described as a part of an 1891–1883 Ma Large Igneous Province (LIP) by French et al. (2008) spanning the Dharwar and Bastar cratons.
Saha and Tripathy (2012) opined that the Cuddapah basin is one of the finest examples of intracratonic Proterozoic basins. However, they considered the Nallamalai Fold Belt as a thrust transported unit. According to them the Nallamalai Group is possibly allochthonous and its formation was independent of the Papaghni sub-basin development. Although the transverse faults in the west (viz., Gani-Kalva and Kona faults; see figure 2b) were related to initiation of Papaghni sub-basin, the reactivation of these faults during late contractional deformation is evident from fault-slip analyses (Tripathy 2011; Tripathy and Saha 2013; Saha and Tripathy 2015). This deformation possibly originated from the tectonic juxtaposition of the NFB against the western part of Cuddapah basin during the Late Neoproterozic (Saha et al. 2006).
According to Matin (2015), the Cuddapah basin formed as the frontal part of a larger fold-thrust belt, named the Cuddapah fold-thrust belt. This belt was possibly formed by amalgamation of Antarctica with the Krishna province of India during the formation of the Rodinia Supercontinent (Matin 2015).
Patranabis-Deb et al. (2012) have suggested that the sediments of the Papaghni Group are the product of sea-level rise prior to Columbia assembly (Santosh 2010). Breaking of Columbia and separation of the south Indian craton from the North China craton (cf. Ravikant 2010) is used as an explanation of extension. Breaking up of Rodinia is explained as a possible cause of the formation of Kurnool and Palnad basins.
Based on a comprehensive study on the age distribution of detrital zircons from the different stratigraphic levels, Collins et al. (2015) proposed an early phase of marine passive margin basin development by rifting. Mafic magmatism in the Tadpatri Formation is interpreted as plume-related magmatism (Mall et al. 2008; Chandrakala et al. 2010, 2013). The ~1.68–1.6 Ga Krishna orogeny (Henderson et al. 2014) plausibly interrupted this plume-modified passive margin environment with westerly supply of sediment from an uplifted eastern block. The Krishna orogeny is related to India–Antarctica collision event during which time the Nallamalai and the Srisailam Group of sediments were deposited (Collins et al. 2015). In this way, the earlier passive margin was converted into a foreland basin. After the cessation of sedimentation, a long period of erosion lead to denudation of the highlands. Finally, the Gandikota Formation and Kurnool Group were deposited in a fluvial to epicontinental sea environment. However, Gandikota Formation conformably overlies the Tadpatri Formation with gradational contact as can be seen in the cuttings of the Gandikota Gorge nearby the gandikota fort. Thus, field evidence contradicts the finding of Collins et al. (2015).
According to Mukherjee et al. (2019), the crescent shape of the Cuddapah basin is mainly due to the thrusting related to the Eastern Ghats Orogeny. This view is mostly corroborated with the explanation on arcuate orogeny/orocline (Tripathy et al. 2013). Deformation structures in basement complexes as well as Cuddapah basinal sedimentary rocks indicate at least three tectonic events (Mukherjee et al. 2019). These deformation events are responsible for the present basin configuration. The crescent-shape of the Nallamalai fold belt in the east is due to a E–W compression related to thrusting followed by a NNE–SSW compression (Mukherjee et al. 2019). The most common E–W and N–S extension joints in the southern part of the Papaghni sub-basin indicate that the older E–W joints developed by maximum compression (σ1) along E–W and minimum compression (σ3) along N–S direction (Goswami et al. 2012, 2016a). Later N–S joints are related to some modification in the stress field. The conjugate joint sets with NE–SW and N15°W–S15°E trends indicate ~N15°E–S15°W acute bisector (σ1) direction. Therefore, the maximum compression (σ1) direction switched from E–W to NNE–SSW with time and the later stress is mostly responsible for shear fracture and N–S extension fracture development depending upon rheology and orientation of litho-unit (Goswami et al. 2012, 2016a).
The Bouguer Gravity anomaly and the DSS profiles were interpreted to describe the Moho boundary at ~38–40 km depth below the basin with crustal thinning towards east (Balakrishna 1979; Kaila and Tewari 1985; Reddy et al. 2000, 2004; Sarkar et al. 2001; Singh et al. 2004). DSS studies have also indicated variation in basement depth with different deep-seated faults extending to the mantle and a sediment thickness of ~8.0 to 8.5 km in the central axial region of the basin (Kaila et al. 1979; Kaila and Tewari 1985; Mahadevan 1994). Based on the DSS studies, Tewari and Rao (1987) inferred a high velocity layer at 1.5–6 km depth. This high velocity (6.9 km/sec) layer has also been delineated by Geological Survey of India (GSI) (1981) and in the cross section it corresponds to the base of the Cuddapah sediments (figure 3a, b). The shape of the anomaly connotes a blind lopolith (Chandrakala et al. 2010).
4 Geophysical set-up
The structure of the Cuddapah basin and its basement has been interpreted from basic gravity data (Qureshy et al. 1968; Kailasam 1976; Venkatakrishnan and Dotiwala 1987; Krishna Brahmam 1989; Verma and Satyanarayana 1990; Ramakrishnan 1991; Ram Babu 1993; Subba Rao 2002), aeromagnetic data (Babu Rao et al. 1987; Mishra et al. 1987; Babu Rao 1991; Ramakrishnan 1991; Anand and Rajaram 2002; Kishore and Rama Rao 2004) and deep seismic sounding (DSS) profiles (Kaila et al. 1979, 1987; Kaila and Tewari 1985; Singh and Mishra 2002; Reddy et al. 2004; Chandrakala et al. 2013).
The gravity survey data suggested elliptical positive gravity anomaly high with NW–SE elongation below the of Papaghni sub-basin (Balakrishna and Paul 1970; Balakrishna 1979; Mishra et al. 1987; Verma and Satyanarayana 1990; Ram Babu 1993). Such positive gravity anomaly has been interpreted in terms of a lower-crustal lensoid mafic body (Grant 1983; Bhattacharji and Singh 1984; Krishna Brahmam 1989). Krishna Brahmam (1989) proposed that a meteorite impact developed the Papaghni sub-basin. On the other hand, Bhattacharji (1987) suggested that the gravity high closures in the Papaghni sub-basin is a manifestation of voluminous mafic intrusion in the upper crust. Grant (1983) invoked presence of a mafic oval-shaped shallow crustal lopoliths in the SW part of the Cuddapah basin.
Aeromagnetic study in the area revealed oval shaped magnetic anomalies with short wavelength (Babu Rao 1991; Kishore and Rama Rao 2004). This indicate that the mafic sills and flows are related to the configuration of the Papaghni sub-basin. Thus, igneous emplacements possibly occur along with the sedimentation at shallow level.
Kaila et al. (1979) carried out a detailed deep seismic sounding (DSS) study. The data of Kaila et al. (1979) got processed subsequently (Reddy et al. 2000, 2004; Chandrakala 2007; Mall et al. 2008; Chandrakala et al. 2010). Kaila et al. (1987) proposed that step faults exist in the basement below the sedimentary rocks of Cuddapah basin. The initial seismic studies reported ~10 km thick sediment cover in the Cuddapah basin (Kaila et al. 1979; Kaila and Tewari 1985). Later re-examination of data by Chandrakala et al. (2013) proposed a sediment thickness of 4 km in the Cuddapah basin. The 12 km thick sediment in the Nallamalai sub-basin is due to tectonic thickening and apparent repetition of beds due to folding and thrusting (Saha 2002; Saha and Chakraborti 2007; Saha et al. 2010).
According to Kaila and Tewari (1985), the Cuddapah basin was first created in its western part by down faulting of the crustal block to form the Papaghni sub-basin. Subsequently, the eastern part was down-faulted to form the Nallamalai sub-basin. Further down, faulting towards north created the Srisailam sub-basin. At a later stage, similar faulting gave rise to the Kurnool and the Palnad sub-basins. After the closure of Kurnool sedimentation, the Nallamalai block was uplifted. The low-angle thrust fault on the eastern margin of the Cuddapah basin is suggested to be a post-Cuddapah phenomenon. Geological sections prepared by the GSI (1981) using the DSS profile data of Kaila et al. (1979) also demonstrated mafic lopolith within the Papaghni sub-basin (figure 3a, b) in the SW of the Cuddapah basin. This high-density mafic intrusion in the SW part of the basin is explained as a product of asthenospheric upwelling, which probably developed funnel-shaped bodies in the upper crust (Chatterjee and Bhattacharji 2001). Positive gravity anomaly and DSS profile together showed the Moho at a depth of 38–40 km below the basin with crustal thinning towards east (Balakrishna 1979; Kaila and Tewari 1985; Reddy et al. 2000, 2004; Sarkar et al. 2001; Singh et al. 2004).
5 Igneous rock characteristics of the selected study area
A rectangular block of ~500 km2 area is chosen for mapping and detailed outcrop studies of bimodal volcanism, especially felsic volcanic rocks and associated volcaniclastics (figure 4). Petro-mineralogy and geochemical aspects of the mafic volcanics are extensively studied by Chakraborty et al. (2016). Five different types of mafic emplacements (viz., (1) differentiated mafic sill, (2) long slender clino-pyroxene bearing doleritic sills, (3) gabbro sills with trachytoid, (4) dolerite sills and (5) fine grained basaltic sills) with different petrographic and geochemical characteristics are identified within the Tadpatri Formation (Chakraborty et al. 2016).
In this context, we study the felsic rocks in detail. Occurrences of spherulites, lithophysae and thundereggs are reported from the area and these features are not found in silica-poor rocks. Felsic volcanics are the only host for such features formed by devitrification of metastable glass. Spherulites are identified from typical rounded or spherical aggregates in outcrop and under microscope they show acicular crystals radiating from single point. Lithophysae are also noted as radial or concentric cavities that is hollow, or partly to completely filled with later minerals. According to Winter (2001), the interstitial glass between expanded vesicles become three pointed shards (figure 5a–d) and ductile deformation of highly heated glass leads to bending. We propose this mechanism to form lithophysae. Thundereggs are solid lithophysae lacking radial structure and filled with secondary silica and carbonates (figure 6a, b). Spherulites show diameters of 0.1–2.0 cm formed during devitrification and are associated with lithophysae. Isolated spherulites are generally spherical, but adjacent spherulites often impinge upon one another to produce long chains aligned with flow foliation (figure 7a, b).
Bimodal volcanic association is most remarkable feature in the field (figure 8). In almost all the studied sections, basic volcanics are associated with acid volcanics with concordent relationships. Strike of both the acid and basic flow beds are parallel and no cross-cut relationships exist. Such a bimodal occurrence is typical of a rift basin (Goswami et al. 2018; Goswami and Dey 2018).
Under the microscope, radiating arrays of fibrous crystals are identified as spherulites with characteristic dark extinction cross in cross nicol. Some of the incomplete spherulitic growth with radiating crystal fibers results in fan, bow-tie like shapes (figure 9a, b). This is due to parallel arrangements of many radiating fibres to the vibration directions of the polarizer and analyser for any orientation of spherulites. At places well developed flow lines (mostly of 5 mm to 1 cm length) are seen (figure 10). Spherulitic texture indicates cooling and nucleation of material in felsic magma which has achieved supersaturation in the crystal component and spherulitic growth along fractures in volcanic glass form axiolites formed due to water penetrating along a crack (figure 11). This can promote crystallization of the adjacent glass or viscous melt. Generally, the spherulites are composed of K-feldspar fibres with interstitial quartz. However, spherulitic quartz along with lithic quartz (figure 12a, b) in this Proterozoic terrain is probably due to recrystallization of the original high-temperature SiO2 polymorphs, which are less stable than quartz at lower temperatures. Flow banding in several tuffaceous units is defined by aligned, coalesced spherulites forming ‘necklace-like’ domains with bulbous margins (figure 12c). The spherulites in tuffaceous rocks consist of fine grained gray to brown clay and quartz. Such spherulites in tuffaceous rocks are highly sericitized formed due to alteration of feldspar (figure 12d, e).
6 Sampling and analytical techniques used
Presently the prime focus is given on felsic igneous rocks and only few samples of mafic rocks are studied. For simplicity of understanding, the felsic volcanic and volcaniclastic rocks are discussed separately from the mafic volcanic rocks. Fresh, unaltered samples are difficult to find in this old Proterozoic terrane. However, an effort was made to collect most fresh samples with less alteration. The geochemical study is used as a supportive tool and interpreted along with field observations and petro-mineralogy. Rock samples were dried after initial cleaning through double distilled water. Then the samples were crushed in jaw crusher to small pieces. The crushed materials were carefully mixed followed by coning and quartering. About 150 g samples were pulverized further in a pulverizer to powder of −200 mesh size.
Twenty eight (n = 28) samples including felsic, mafic volcanics and tuffs were collected for detailed geochemical analysis (table 3). The sample locations are shown in the study area map (figure 4). The whole rock chemical analyses of 28 samples were carried out at the Chemistry Laboratories of Atomic Minerals Directorate for Exploration and Research (AMD), Southern Region, Bangalore. The powdered samples were dissolved by acid digestion. In this process 0.5 g of each sample is treated with 5 ml of nitric acid (HNO3) and 10 ml of hydrofluoric acid (HF) followed by drying. 10 ml of HNO3 was further added to the residue. This same procedure was repeated three times for complete removal of HF. Finally, the dried samples were taken up in 100 ml of HNO3 (~3%) solution which was used for analysis.
UV-visible spectroscopy (spectrophotometer model no. Analytik Jena Specord 210) was used for determination of SiO2 (wt%). Flame photometer (Systronics) was used for analysis of Na2O and K2O (Wt%). Inductively Coupled Plasma Optical Emission Spectroscopy (ICPOES) was used for the estimation of TiO2, Al2O3, MgO, MnO, CaO, P2O5 (wt%) and Th, Sr, Ba, Nb, Zr, Cr and V (ppm). ICPOES model M/S JobinYvon, France make JY 2000 (2) was used for this study. Atomic Absorption Spectrophotometry (AAS) was used for determination of Fe2O3(total) (wt%) and Rb, Cu, Ni and Co (ppm). AAS model GBC-make Savantaa spectrometer was used in this study. Titration was used to determine FeO. Rare Earth Elements (REE) with Y and Sc were also analyzed by ICP-OES after matrix separation. Loss on ignition (LOI) was determined by heating the samples at 950°C for about 2 hrs. Geochemical data (tables 4–6) plots suggest wide-ranging composition.
Analytical errors were not same for all the major elements. For SiO2 analysis error is restricted (±1%). Error for determination of Al2O3, Fe2O3, CaO and MgO was also ±1%. However, TiO2, FeO, MnO, K2O and P2O5 data showed errors ranging from ±2 to 3%. All other elements showed determination error ranging from ±5 to 10%.
The lead isotope systematics of carbonatized portion of felsic volcanics of the study area is undertaken in order to determine the timing as well as extent and nature of carbonatization. The sample (S1) was chosen for step leaching of Pb followed by Pb isotopic study. In fact, five leach fractions were obtained by leaching each sample sequentially with (A) Millipore water, (B) 1M HCl, (C) 2.5M HCl, (D) 4M HCl and, (E) 8M HNO3. The residue was separately treated with HF+HNO3 mixture for its complete digestion. These six fractions were separated for lead (Pb) by AG1X8 ion exchange chromatography. The separated fractions were analyzed on TIMS-Isotopx for the Pb isotopic data at AMD, Hyderabad. Based on the analyses of SRM981 Pb standard, the obtained mass fractionation factor of 0.15% per AMU was applied to correct Pb isotopic ratios. On the basis of the number of duplicate analyses, the 2σ analytical error is noted as 0.5% for 206Pb/204Pb, 207Pb/204Pb and 208Pb/204Pb ratios (table 7). Results of the isotopic standard (SRM983) that was run along with sample, suggest 206Pb/204Pb ratio of 2697.5 ± 7, 207Pb/204Pb ratio of 191.97 ± 0.5 and 208Pb/204Pb ratio of 36.770 ± 0.09 (n = 10) with total analytical Pb blank of 2 ng. The ratios of 207Pb/204Pb and 206Pb/204Pb were regressed after the ISOPLOT program of Ludwig (1993), to get isochron age. The Pb–Pb plot of S1 defines an age of 1264 ± 110 Ma which can be considered as an approximate age of carbonatization.
7 Results and interpretation
In the Harker variation diagrams TiO2, Al2O3, MgO and FeOt show decreasing trends with increasing SiO2 (figure 13). Na2O and K2O show crude increasing trends with increasing SiO2. According to Wilson (1993, 2007), the widespread compositional variation occur due to combined effects of polybaric fractional crystallization, source heterogeneity, crustal contamination and different degrees of partial melting. Despite apparent coherence in trends of multiple plots, conclusion cannot be drawn if there is any genetic line of descent from parent magma by differentiation or fractionation. The total alkali vs. silica (TAS) diagram (Le Bas et al. 1986) and the R1–R2 plot (De la Roche et al. 1980) indicate that the felsic volcanic rocks and tuffs fall dominantly within the rhyolite and dacite fields (figure 14a, b). The rocks are mostly subalkaline in character. The scatter in TAS diagrams is possibly due to the alteration as well as clastic admixing during lava transport. The mafic volcanic rocks plot in the basalt field. In the AFM diagram (Irvine and Baragar 1971), the felsic volcanic rocks and tuffs plot mostly in the calc-alkaline field (figure 15). The mafic volcanic rocks straddle both the tholeiite and clac-alkaline fields. The rocks display peraluminous to metaluminous nature as seen in molar Na2O–Al2O3–K2O plot and A/CNK vs. A/NK plot (figure 16a, b) after Shand (1943). The rocks of the study area have undergone different types of post-magmatic alteration (carbonatization, sericitization, chloritization, etc.) and weathering. This limits the usages of major element oxides in characterizing the magma history. Therefore, relatively immobile elements like Ti, Ni, Cr, V, Zr and Nb are taken into consideration of petrogenetic study. Primordial mantle normalized trace element plots indicate enrichment of Large Ion Lithophile Elements (LILE) (Rb, Th and K) and LREE with negative Sr, P and Ti anomalies (figure 17). Chondrite normalized Rare Earth Elements (REE) patterns are characterized by LREE enrichment, negative Eu anomaly and flat HREE pattern (figure 18). These features, in combination with enrichment of LILE and LREE indicate origin through shallow crustal melting with plagioclase either as a residual or fractionating phase hosting the Eu. This is also supported by the low Sr/Y ratios (ranging from 1 to 10), Sr being hosted by plagioclase in the residue. The mafic volcanic rocks also display LREE enrichment suggesting crustal contamination which can shift the composition of a mantle-derived mafic magma from tholeiitic to calc-alkaline.
The Pb–Pb plot of S1 defines a carbonatization age of 1264 ± 110 Ma (figure 19). This time range represents a significant orogenic event called the Grenville orogeny. According to Chatterjee and Bhattacharji (2001), lineament reactivation in the NW–SE and NE–SW directions was intensified between 1400 and 1200 Ma, leading to the emplacement of several cross cutting dikes in the basin.
8 Discussions
Volcanoes generally consist of volcanic edifice, plumbing system and deeper magma reservoir. The present study attempts to understand the surface and, to some extent, the subsurface processes associated with the Tadpatri volcanism. The deeper system can be accessible in the eroded portions of active volcanoes or, in extinct eroded volcanoes like the present case of the Proterozoic Tadpatri Formation. The aim is to interpret the shallower and deeper phenomenon of past volcanoes so that the relationships between the magma generation and the nature of country rock can be understood.
The oval-shaped gravity high over the Papaghni sub-basin has been commonly interpreted in terms of lopolithic intrusions (Grant 1983; Bhattacharji and Singh 1984; Chatterjee and Bhattacharji 2001). These igneous intrusions were possibly related to rifting within the Dharwar craton at around 1.9 Ga and formation of the Cuddapah basin (Chatterjee and Bhattacharji 2001; Anand et al. 2003; Halls et al. 2007; French et al. 2008; Ravikant 2010). The coeval felsic volcanic rocks of the Tadpatri Formation were probably linked with the spatially associated mafic volcanic and intrusive rocks. These mafic and felsic volcanic rocks show concordant relationship, which also suggest a possible link between them.
8.1 Tectonics
The felsic volcanic and volcaniclastic rocks of the Tadpatri Formation display enrichment in LREEs and LILE such as Rb, Ba and K (figures 17 and 18). The fractionated LREE, negative Eu anomaly and flat HREE patterns (figure 18) as well as low Sr/Y ratios indicate shallow melting of a crustal source (Goswami 2019). In the normal condition, the geothermal gradient is not high enough to melt rocks within the continental crust (Alfe et al. 2003). Therefore, an external heat source is required to generate magma through melting of the continental crust. Th/Yb ratio compared to primitive mantle or mantle array is higher and thus the geochemical signatures suggest a rift set-up for the Papaghni sub-basin. The reactivation of pre-existing faults is indicated from paleomagnetic studies (Balakrishna et al. 1972; Kumar and Bhalla 1983; Hargraves and Bhalla 1983).
The mafic sills within the Tadpatri Formation yielded a U–Pb IDTIMS baddeyleite age of 1885 ± 3.1 Ma (French et al. 2008) and an Ar–Ar phlogopite age of 1899 ± 20 (Anand et al. 2003). Recently, Sheppard et al. (2017) reported a U–Pb (SHRIMP) zircon age of 1862 ± 9 Ma from a felsic volcanic rock of the Tadpatri Formation. These ages suggest contemporaneity between the mafic and felsic intrusive and volcanic rocks of the Tadpatri Formation.
Regional geological set-up, rock association, intrabasinal igneous activity, geochronology, deep basinal architecture and geophysical studies suggested a rift-related origin for the Cuddapah basin (Nagaraja Rao et al. 1987; Anand et al. 2003; Manikyamba et al. 2008; Patranabis-Deb et al. 2012; Chandrakala et al. 2013; Chakraborty et al. 2016; Sheppard et al. 2017). Nagaraja Rao et al. (1987) proposed existence of lopolith within the southwestern part of the Cuddapah basin based on harmonic inversion of the gravity and magnetic data of Mishra et al. (1985). Gravity high in the Papaghni sub-basin is situated almost concentrically with circular central gravity low (Balakrishna 1979; Grant 1983; Bhattacharji 1987; Ram Babu 1993; Singh and Mishra 2002). The broadly oval-shaped, the gravity high was ascribed to shallow crustal lopolithic intrusion by Grant (1983) as well.
Mall et al. (2008) prepared a 2-D geophysical model for the crustal structures below the Cuddapah basin. They have noted deep-seated thermal anomaly attributed to a mantle plume. Based on seismic data interpretation, Chandrakala et al. (2010) have also proposed a mantle plume in the same area. Deep seismic studies (Kaila et al. 1979, 1987; Reddy et al. 2000, 2004; Sarkar et al. 2001; Chandrakala et al. 2013) revealed presence of N–S and NW–SE faults within the Papaghni sub-basin, which extend up to the Moho. Moreover, mantle plume is considered as a triggering cause the formation of the Cuddapah basin development by some authors (Mall et al. 2008; Chandrakala et al. 2010).
Anand et al. (2003) described the Proterozoic melt generation processes beneath the south-western part of the Cuddapah basin on the basis of petrography, whole-rock and mineral geochemistry of mafic igneous rocks. They have concluded that lithospheric stretching and mantle melting was associated with intra-cratonic passive rifting. However, there are distinct signatures of active rifting in the Papaghni sub-basin which has been substantiated in this study.
Barberi et al. (1982) classified rifts into low and high volcanicity rifts on the basis of relative volume of volcanic eruption materials. Low volcanicity rifts (LVR) show low volume of volcanic products, low crustal extension rates, discontinuous volcanism and a variety of basaltic magma composition with smaller quantity of felsic eruption. The lesser volume of volcanic products compared to sediments in the Papaghni sub-basin is possibly due to lower rate of crustal extension. There were discontinuous volcanism throughout the basin. The variation in basaltic magma composition (Chakraborty et al. 2016) and relatively small volumes of felsic volcanic rocks within the Tadpatri Formation are significant. These facts indicate that the magmatism in the study area can be related to LVR (Barberi et al. 1982).
Chakraborty et al. (2016) recognized five varieties of mafic intrusives in the Papaghni sub-basin on the basis of petrographic and geochemical characteristics. The mafic rocks were interpreted as the product of partial melting of a metasomatized subcrustal lithospheric mantle in varying degrees. Chakraborty et al. (2016) also interpreted the mineral chemistry and rock chemistry of mafic sills and lava to have alkaline affinity and suggested a riftogenic set-up for the mafic volcanic rocks. It is notable that alkaline volcanism is a characteristic feature of continental rift setting (Fitton and Upton 1987; Winter 2001; Ranjith et al. 2016) which also support our view.
The geodynamic reason of Cuddapah rifting is controversial (Anand et al. 2003; French et al. 2008; Mall et al. 2008; Chandrakala et al. 2010; Ravikant 2010; Saha and Tripathy 2012; Patranabis-Deb et al. 2012; Collins et al. 2015; Chakraborty et al. 2016; Sheppard et al. 2017; Mukherjee et al. 2019). A popular model for the ~1.9 Ga rifting, formation of the Cuddapah basin and associated mafic intrusive and volcanic activity envisages mantle upwelling below the eastern part of the Dharwar craton (Chatterjee and Bhattacharji 2001; Mall et al. 2008; Chandrakala et al. 2010; Collins et al. 2015; Chakraborty et al. 2016). This model invokes rise of hot asthenospheric material and attendant stretching and thinning of overlying lithosphere. This resulted in continental rifting and formation of the intracratonic/pericratonic basin.
The mafic magma was possibly generated by decompression melting of the upwelling mantle (White and McKenzie 1989; Keen et al. 1994; Mall et al. 2008; Chandrakala et al. 2010, 2013; Rychert et al. 2012; Wright et al. 2016; Chakraborty et al. 2016). Underplating and intraplating of this mafic magma supplied heat into the continental crust which probably caused increased geothermal gradient and intracrustal melting. In figure 20(a), a scenario of the partial melting of rocks with elevated geothermal gradient is schematically represented. The elevated geothermal gradient can cross the solidus inducing partial melting of the continental crust. This mechanism is being proposed as the origin of felsic volcanism within the Tadpatri Formation (figure 20b).
The origin of rift basin is related to thinning of the lithosphere (e.g., Dasgupta and Mukherjee 2017). The cause of lithospheric extension and thinning is explained differently (Neumann and Ramberg 1978; Illies 1981; Palmason 1982; Morgan and Baker 1983; Neugebauer 1983; Keen 1985; Dewey and Hancock 1987; Khain 1992; Ziegler 1992; Thompson and Gibson 1994; Ruppel 1995; Brun 1999; Corti 2009). Generally, continental rifts are fault-bounded basins produced by extension of continental crust (Dietz 1963; Dewey and Bird 1970; Falvey 1974; Kinsman 1975; Veevers 1981). With increasing amount of stretching, arrays of normal fault may develop. These faults control subsidence and heat flow within rift-related basins formed over thinned continental crust (Withjack et al. 2002).
Broadly, the thinning of lithosphere can be related to two different mechanisms (Sengör and Burke 1978). First, it may result from the ascent of a mantle plume (figure 21a). Second, extensional stress can stretch the crust and the lithospheric mantle (figure 21b). Sengör and Burke (1978) described these two mechanisms as active and passive rifting, respectively. A combination of ‘active’ and ‘passive’ processes may also operate (Marle 2011).
The typical elevated rift flank topography is characteristic feature of mostly active rifts (Bhattacharya and Chakraborty 2000; Allen and Allen 2005; Zhiyuan Ge et al. 2016). This elevated rift flank topography bordering the basin may also be regarded as ‘Rift shoulder’ (Bhattacharya and Chakraborty 2000; Goswami et al. 2016a; Bhattacharjee et al. 2018; Mukherjee et al. 2019) (figure 21c). Withjack et al. (2002) explained the developments of rift shoulders in terms of footwall upliftment of the basin margin fault. According to Chaudhuri et al. (2002), the basin-margin faults in Cuddapah basin controlled the broad geometry and evolution of the basins. Based on the fault controlled differential subsidence and uplifts and syn-sedimentary events with limited volcanism the Cuddapah basin was interpreted as fossil rift (Chaudhuri et al. 2002).
In case of passive rifting sedimentation occurs in depressed graben without igneous activity (figure 21d) (Marle 2011). However, this is not the case in Cuddapah basin. Geological as well as geophysical observations in active rift areas have suggested presence of active volcanoes and elevated heat flows, high seismicity, thinner crust with elevated Moho beneath the rift zones (Morgan and Baker 1983; Lysak 1987; Wheildon et al. 1994; Hochstein 2005; Kandie 2015). Previous discussions suggest that bimodal magmatism in the Tadpatri Formation is contemporaneous with sedimentation as revealed by field, structural, geophysical and geochronological data (see sections 2–5, 7). Such coeval sedimentation and magmatism is common in active rifting. Therefore, active rifting for the development of the Cuddapah basin can be inferred from the present state of knowledge. This study envisages that active rifting and associated lopolithic emplacement is related to basin development. Rift basins usually show normal dip slip faults and variable number of strike slip faults (Withjack et al. 2002; Pluijm and Marshak 2004). Depending on the rift axis orientation in relation to the extension direction, normal fault arrays with synthetic and antithetic fashion develop. We suggest that the Papaghni sub-basin development was associated with shallow crustal lopolithic intrusion with a system of thin feeder channels. The area (figure 22a) was possibly affected by asthenospheric upwelling and lithospheric stretching (figure 22b) during Late Palaeoproterozoic. The stretching presumably developed listric normal faults commonly associated with rift basins (Bally et al. 1981; Shelton 1984; Allen and Allen 2005). These listric faults are concave upward, i.e., flatten with depth (figure 22c). It is envisioned that the subsidiary normal faults may be dipping either in the same direction (synthetic faults) or in the opposite direction (antithetic faults) (Withjack et al. 2002; Pluijm and Marshak 2004). Therefore, the initially developed basin was bounded by normal faults dipping towards each other (figure 22d). These faults might have been merged at depth with possible flat decollement or truncated by detachment fault that develops during extension (Pluijm and Marshak 2004). The curved, downward flattening listric faults are possibly associated with rotation of hanging-wall blocks (Davis and Reynolds 1996) (figure 22d). Downward movement on concave up listric normal faults rotate the hanging-wall blocks, so that the blocks progressively tilt during regional extension (Davis and Reynolds 1996; Davis et al. 2012). The amount of tilting is proportional to the amount of displacement on the fault. Because of the curvature of listric faults, movement of the hanging-wall block along a subhorizontal detachment may create a gap (Wernicke and Burchfiel 1982; Gibbs 1983) (figure 22e). The tilting of hangwall driven by gravity to adjust the gap may lead to the development of roll-over antiform (Wernicke and Burchfiel 1982; Gibbs 1983, 1984; Krezsek et al. 2007). The weak fault planes possibly provided the pathways for emplacement and eruption of mantle-derived mafic magma. These are fissure-type eruptions bounded by listric faults which produced the probable lopolithic geometry (figure 22f). The emplacement of mafic magma possibly supplied heat within the crust. It is contemplated that the attendant crustal melting generated the felsic volcanic and the associated volcaniclastic rocks of the Tadpatri Formation (figure 22f).
8.2 Basin evolution model
The 3 Ga supercontinent termed ‘Ur’ after Rogers (1993) can be regarded as an initial stable crust. By the Late Palaeoproterozoic, the crustal thickness became sufficient to resist direct mantle outpouring to the surface. Hence the mantle underplating lead to stretching and thinning of the crust and thus initiation of rifting. The presence of 2.3–2.1 Ga dyke swarms (French and Heaman 2010; Belica et al. 2014) in the vicinity of the Cuddapah basin indicate mantle plume activity and development of LIP (French et al. 2008). Genetic link among the five sub-basins (viz., Papaghni, Nallamalai, Srisailam, Kurnool and Palnad sub-basins) within the Cuddapah can be established with a complex history. According to Mukherjee et al. (2019) Papaghni Group got deposited in a rift basin associated with normal faults at the initial stage. Later, switchover to a compression regime led to development of back arc basin along earlier traces of rift related faults in the east of the Papaghni sub-basin. Such a prolonged episode of compression is related to the assembly of Columbia supercontinent. This event is related to Krishna orogeny and formation of Srisailam sub-basin as well. Kurnool sub-basin appeared during India–East Antarctica convergence.
We propose that the initially formed Papaghni sub-basin is related to active rifting during ~2 Ga (figure 23a, b). Since, the magnitude of extensional strain may not be uniform across the rift, more than one rift sub-basin can occur. The rift sub-basin is a portion of a rift separated from another adjacent portion by a basement high in which the crust could not be stretched as much. The combination of different rifting mechanisms, viz., stair-step faults, imbricate arrays, duplexes, rollovers, antithetic and synthetic faults may produce complex geometry of rift system (Pluijm and Marshak 2004). The extension along the entire length of a rift system does not begin everywhere coevally (Pluijm and Marshak 2004). There is a sequence of events during which rift segments link up to form a long rift system. At an early stage in rifting, segments are separated from one another along their length by the unfaulted crust. With increasing displacement on the faults in the segments, the length of the segments also increases and the individual segments interact along strike, with one dominating dip direction.
The E–W median of the crescentic Cuddapah basin can be drawn along 15°10′ in the northern part of the Papaghni sub-basin. NE–SW trending fault in north and NW–SE trending fault in south of median line is noteworthy. In the structural map of Cuddapah basin (figure 2b) this two sets of faults (viz., trending NE–SW and NW–SE) meet in the western portion of the imaginary median line. According to Saha and Tripathy (2012), the initial opening of the Cuddapah basin in the west is related to transverse faulting along these faults. The fault slip paleostress analysis suggest that stress regime in and around transverse faults during the ongoing basin opening events must have been caused by igneous activities of 1.8–1.9 Ga (Tripathy and Saha 2013). The transverse faults in the western margin of Cuddapah basin record signatures of extensional/strike-slip regime crustal deformation (Tripathy and Saha 2009; Tripathy 2011) and this may be related to rifting. Considering the explanation of Pluijm and Marshak (2004) the tip of these normal faults must have suffered a change in block movements to adjust the stress (figure 23a, phase 1). Thus the basin tapers towards the ends of the faults as the displacement on the fault changes from dip-slip in the middle to strike or oblique-slip along the terminal parts. Thus, with progressive rifting along parallel lystric normal faulting and associated lopolithic emplacements synsedimentary infilling is noteworthy (figure 23a, phase 1). Relatively later formed sub-parallel rift was the depo-centre for the Nallamalai Group. Eventually, a convergence switchover during ~1.87 till 1.6 Ga due to Krishna orogeny (Henderson et al. 2014; Collins et al. 2015) lead to conversion of back arc basin along the earlier trace of rift related normal faulting. Therefore, such combined effects are possibly linked to Nallamalai and Srisailam sub-basins (figure 23a, phase 2). Subsequently, Kurnool sub-basin started developing with eastern tectonic and western transgressive margin. The Papaghni sub-basin with sub-elliptical lopoliths and sediments deformed later and got partially covered by younger Kurnool sediments in the eastern portion (figure 23a, phase 3). Therefore, the present day map and the section across the Papaghni sub-basin exhibit an angular unconformity between the Papaghni and Kurnool Group of rocks.
Considering the theory of Friedmann and Burbank (1995), the rifting in Cuddapah basin can be classified into a ‘supra detachment’ type in which the basin exhibit wide extended domain with thickened crust and the master faults (i.e., detachments) are gently dipping (10°–30°). Unlike the ‘discrete continental rifts’, which extend slowly over long time with steep (45°–70°) master fault angles, the supra-detachment Cuddapah rift altogether took lesser period of extension time. The relatively longer Nallamalai basin axis could become slightly concave and fold and thrust development leads to formation of several N–S lineaments which must have given additional anisotropy and competence contrast to get curvature during subsequent orogenic events. As far as Srisailam sub-basin is concerned, this basin evolution model is partly supporting the proposal of Nagaraja Rao et al. (1987). Thus, with the uplift of the Nallamalai sub-basin and sinking of the basement parallel to the NE–SW lineaments resulted in the Srisailam sub-basin. Kurnool and Palnad sub-basin started developing at the end as half graben basins by subsequent tectonic reactivation. Finally, the entire system have suffered several phases of deformation during the Pan-African and Eastern Ghat orogeny and also later events of the Indian plate movements.
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We express our sincere gratitude to Shri L K Nanda, Ex-Director, AMD for encouragement and infrastructure support to publish the work. Shri V Natarajan, In-charge, Southern Cuddapah basin Investigation (SCBI), is also thankfully acknowledged. We are also thankful to all the colleagues from laboratories. Special thanks to Shri Atanu Mukherjee and Dr Soumyajit Mukherjee for the constructive comments and suggestions which helped to improve the paper significantly.
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Goswami, S., Dey, S., Zakaulla, S. et al. Active rifting and bimodal volcanism in Proterozoic Papaghni sub-basin, Cuddapah basin (Andhra Pradesh), India. J Earth Syst Sci 129, 21 (2020). https://doi.org/10.1007/s12040-019-1278-3
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DOI: https://doi.org/10.1007/s12040-019-1278-3