Introduction

The geochemical composition of clastic sediments is a complex function of variables such as source material, weathering, physical sorting, and diagenesis (Armstrong-Altrin et al. 2004; Moosavirad et al. 2012; Zaid 2013, 2015). Among the terrigenous sedimentary rocks, shales are considered to represent the average crustal composition much better than any other siliciclastic rocks to infer provenance (Nagarajan et al. 2007; Lee 2009), since they preserve the original signature of the source rocks and diagenetic history (Mondal et al. 2012; Spalletti et al. 2012). However, many studies have utilized the geochemical composition of shales and successfully inferred the regional tectonic setting, provenance, weathering conditions, and sediment recycling (Roser and Korsch 1988; McLennan et al. 1993; Cullers 1995). Major element geochemistry of sedimentary rocks is more useful in discriminating the tectonic setting (Bhatia 1983; Roser and Korsch 1986). Armstrong-Altrin and Verma (2005) have warned the use of discrimination diagrams for provenance studies using major element geochemistry. The trace elements such as Th, Cr, Sc, Zr, Hf, and particularly TiO2 and Al2O3 among other major elements are suitable for provenance and tectonic determination studies, due to their relatively low mobility during sedimentary processes (McLennan et al. 1983; Hayashi et al. 1997). Similarly, they differ in concentration in felsic and basic rocks such as Th enriched in felsic rocks and Sc, Cr, and Co enriched in basic rocks relative to felsic rocks (Armstrong-Altrin et al. 2015b).

Significant contributions have been made by several studies in relation to the regional geology, stratigraphy, paleontology, and sedimentology of the Upper Miocene Samh Formation exposed in southwestern and west central Sinai, as well as in the Gulf of Suez region (Said 1990; Purser and Philobbos 1993). In contrast, little is known about the Upper Miocene rocks along the Egyptian Red Sea coastal plain (e.g., El-Akkad and Dardir 1966; Said 1990; Kora and Abdel-Fattah 2000; Zaid 2002; Issawi et al. 2009), and no detailed studies on geochemistry and tectonic setting have been made. The main purpose of this work is to reconstruct the provenance and tectonic setting of shales of the Upper Miocene Samh Formation, using an integrated approach involving modal analysis and bulk rock geochemistry data from two sections (Wadi Mubarak and Wadi Abu Dabbab; Figs. 1 and 2) in North Marsa Alam, Red Sea, Egypt.

Fig. 1
figure 1

Geologic map of North Marsa Alam, showing the location of the study area (modified after Zaid 2002)

Fig. 2
figure 2

Correlation chart of the two studied sections, along the Red Sea coast

Geological setting

The study area forms a strip extending for about 40 km between Quseir to North Marsa Alam along the Egyptian Red Sea coastal plain between latitudes 25° 12′–25° 32′ N and longitudes 34° 30′–34° 50′ E. This stretch is bordered by the seashore from the east and the high hills of the pre-Cambrian basement rocks from the west (Fig. 1). The plain is covered mainly with Miocene and Pliocene deposits; pre-Miocene rocks are of limited distribution. The strata have a regional eastward dip to the sea with several NW–SE trending faults. Two stratigraphic successions were studied in detail at Wadi Mubarak–Marsa Mubarak and Wadi Abu Dabbab–Marsa Abu Dabbab areas (Fig. 2).

The tertiary sedimentary rocks exposed in the study area are of Middle–Upper Miocene to Pleistocene age. These rocks classified from older to younger into Gebel El Rusas, Abu Dabbab, Samh, Gabir, and Shagra formations. The Upper Miocene Samh Formation was established by El-Akkad and Dardir (1966). It consists mainly of sandstone that underlies by shale and marl intercalations (Fig. 3a). It overlies unconformably Miocene deposits composed of evaporites of the Abu Dabbab Formation and underlies conformably the Gabir Formation (Fig. 3b). In the study area, the Samh Formation is easily recognized by its light gray to light green color. Shale is generally soft, fissile with some anhydrite bands (Fig. 3c).

Fig. 3
figure 3

The lithofacies distribution of Samh Formation showing the following: a It consists mainly of sandstone underlies by shale and marl intercalation. b It underlies conformably the Gabir Formation. c Shale is generally soft, light gray to pale green, fissile with some gypsum bands

The Upper Miocene Samh Formation forms the slopes of the escarpments (Kora and Abdel-Fattah 2000). With the Samh Formation thinning downward, it measures 32 m thick at Wadi Mubarak and 29 m in thick at Wadi Abu Dabbab. In Wadi Abu Dabbab, the Samh shale is thicker and intercalated by thick beds of marls and contains conglomerate bed at the top (Fig. 2).

A salinity crisis had occurred in the Upper Miocene where a great evaporitic sedimentation took place and resulted in the deposition of the prominent and conspicuous Abu Dabbab Formation. This salinity crisis is attributed partly to a structural uplift resulted in isolation of the Red Sea basin from the parental Mediterranean Sea (Purser and Philobbos 1993). Afterward, before the end of the Miocene, relatively deeper conditions prevailed over the active grabenal area of the Red Sea. This new depositional condition produced fine siliciclastic deposits of the Samh Formation. The composition of the Samh Formation indicates a gradual increase in the depth of the sea from agitated shallow water of shale beds to supratidal at the middle part and becomes intertidal at the upper part (Said 1990; Purser and Philobbos 1993; Kora and Abdel-Fattah 2000; Zaid 2002).

Sampling and methods

Two stratigraphic sections were measured and described representing the Upper Miocene Samh Formation. Twenty-six representative shale samples were collected from outcrops in Wadi Mubarak and Wadi Abu Dabbab areas (Fig. 2). The petrographic characteristics of six selected samples were investigated by thin section microscopic observations. The mineralogy of 18 shale samples was determined by X-ray diffraction (XRD) analysis using both smear-on glass slide and powder press techniques (Hardy and Tucker 1988). The analysis was done by a Philips X-ray diffractometer model PW/1710 (CuKα radiation with 40 kV, 35 mA, and 2°–70° 2-theta). Clay minerals were identified by their characteristic reflections (Moore and Reynolds 1997).

The major oxides and trace elements were determined in 26 bulk samples by X-ray fluorescence spectrometry (XRF), as per the procedure given by Ahmedali (1989). The correlation coefficient has been carried out for the chemical data by using the method of Davis (1986). X-ray fluorescence spectrometry technique and XRD analyses were performed at the laboratories of the National Research Center and Nuclear Materials Authority of Egypt. Analytical precision is better than 5 % for the major oxides and trace elements. Loss on ignition (LOI) was estimated by heating sample at 1000 °C for 2 h. Major element data were recalculated to an anhydrous (LOI free) basis and adjusted to 100 % before using them in various diagrams. The total iron is expressed as Fe2O3.

Results

Mineralogy

The results of the XRD analysis are illustrated in Fig. 4. No obvious qualitative difference is found between the mineralogical composition of the bulk and the fine (<2 μm) fractions of the Upper Miocene Samh shales. The samples are composed mainly of clay minerals (smectite and kaolinite with little illite) associated with non clay minerals (quartz, plagioclase, microcline, and halite). Smectite is the dominant constituent of the clay mineral content of the Upper Miocene Samh shales. The dominance of smectite in Quseir—Marsa Alam is in agreement with the previous results obtained from Hendriks et al. (1990), Ismael (1996), and Ahmed (1997). The origin of smectite was believed by those authors to be due to continental pedogenesis as well as marine neoformation. Terrestrial smectite in the samples was probably developed under warm to seasonally humid conditions by the degradation of chlorite and illite.

Fig. 4
figure 4

X-ray diffractograms of six bulk samples of the Samh shale. S smectite, K kaolinite, I illite, Q quartz, P plagioclase, M microcline, and H halite

The origin of kaolinite in the shales has been interpreted for a long time as to be a product of chemical weathering and leaching of rocks which occur especially in the exposed granite-metamorphic basement areas in Eastern Desert of Egypt (Gindy 1983). Kaolinite formation is favored under tropical to subtropical humid climatic conditions (Chamley 1989). In addition to a detrital origin, kaolinite may also develop by diagenetic processes due to the circulation of acid solutions (Ghandour et al. 2003). The occurrence of smectite together with kaolinite indicates the alteration of feldspar in connection with an “arenization” (Millot 1970) of crystalline basement rocks in a warm and semiarid climate. Generally, the dominance of smectite in the studied shales at Marsa Alam suggests a terrestrial provenance (Hendriks et al. 1990) that had not attained intensive weathering, a warm and semiarid climate, and the resulted materials were carried by fluvial action, which finally admixed with marine environments.

Geochemistry

The concentration of major and trace elements of 26 Samh shale samples together with their elemental ratios are reported in Tables 1 and 2. The elemental concentrations of the shales are compared with average shales of Turekian and Wedepohl (1961), Vine and Tourtelot (1970), Gromet et al. (1984) (Table 3). In general, the bulk composition of the Samh shale is comparable with the average shale compositions (Table 3).

Table 1 Major element concentrations (wt%) of Samh shale
Table 2 Trace element concentrations in ppm for shales of the Upper Miocene Samh Formation
Table 3 Comparison of chemical composition of the studied shales with published averages

Major element

The shale samples are characterized by the dominance of SiO2 (average = 50.3 %). This value closely concurs with the average shales of Turekian and Wedepohl (1961) (58.5; Table 3). Al2O3 follows SiO2 in abundance (average = 13.5 %) which is similar to the average black shales of Vine and Tourtelot (1970) (13.22 %; Table 3). The average content of TiO2, MgO, and P2O5 in the shales (0.8, 2.8, and 0.1 %, respectively) is nearly similar to that of the North American shale composite of Gromet et al. (1984) (0.8, 2.83, and 0.15 %; Table 3). Also, the average values of Na2O and K2O (0.9 and 2.5 %) are similar to the average black shales of Vine and Tourtelot (1970) (0.94 and 2.41 %, respectively). The high content of CaO (5.9 %) is considered to be of biochemical origin. The content of Fe2O3 (3.9 %) is closely similar to the average shale of Turekian and Wedepohl (1961) (4.72 %; Table 3), which indicates the presence of iron oxides and iron minerals.

On the Fe2O3/K2O versus SiO2/Al2O3 chemical classification diagram (Fig. 5; Herron 1988), the Samh shales plot in the shale field. The average K2O/Na2O ratio of the Samh shale varies from 2.27 to 3.31 (average = 2.7); the shale of Wadi Mubarak has lower ratio (average = 2.61) compared to the shale of Wadi Abu Dabbab (average = 2.82), which is also evidenced from Fig. 6. The ratio is found lower in the Samh shales in comparison to the North American Shale Composite (NASC) and post-Archean Australian Shales (PAAS) (Condie 1993). However, SiO2/Al2O3 ratio among Samh shales shows little variation (average = 3.4–4.22; Table 1).

Fig. 5
figure 5

Geochemical classification diagram using log (SiO2/Al2O3)–log (Fe2O3/K2O) (after Herron 1988)

Fig. 6
figure 6

SiO2/Al2O3 versus K2O/Na2O bivariate plot

Figure 7a shows the distribution of major element contents of the shales normalized to PAAS (Taylor and McLennan 1985). Compared to PAAS, the Samh shales are enriched in SiO2, Al2O3, and Fe2O3 and depleted in TiO2, P2O5, and Na2O contents and moderately depleted in MgO and K2O contents. Enrichment of SiO2, Al2O3, and Fe2O3 in Samh shales relative to PAAS indicates the presence of higher quantities of clay minerals and iron oxides. Depletion of Na2O in the shales relative to PAAS suggests either lesser amount of plagioclase detritus in the shales and/or comparatively intense chemical weathering at the source and during fluvial transportation of the detrital material of the shales (Moosavirad et al. 2011). Depletion of TiO2 and K2O suggests that phyllosilicate minerals exist in lesser quantities in the shales (Condie et al. 1992; Moosavirad et al. 2011). Low contents of TiO2 also suggest an evolved (felsic) source rocks.

Fig. 7
figure 7

Distribution of PAAS normalized abundance of Samh Shale: a major and b trace elements

Major element compositions of the analyzed samples are mainly controlled by clay minerals rather than the nonclay silicate phases. This trend can be illustrated from the values of the index of compositional variation (ICV; Cox et al. 1995) where ICV = (Fe2O3 + K2O + Na2O + CaO + MgO + MnO) / Al2O3. The trend of ICV values of the Samh shales is wide and varies from 0.68 to 3.29, with an average of 1.3. Values of ICV <1 are typical of minerals like kaolinite, illite, and muscovite, and higher values (>1) are characteristic of rock-forming minerals such as plagioclase, K-feldspar, amphiboles, and pyroxenes. In this study, 14 shale samples of the present study are enriched in clays, and 12 samples are enriched in rock-forming minerals. The values of K2O/Al2O3 ratio are different from clay minerals (0.0–0.3) and feldspars (0.3–0.9; Cox et al. 1995). The values of K2O/Al2O3 ratio of the Samh shales vary narrowly from 0.16 to 0.23 (average = 0.2). These values also indicate predominance of clay minerals over K-bearing minerals such as K-feldspars and micas (Cox et al. 1995; Moosavirad et al. 2011). The values of Al2O3/TiO2 ratio are high (average = 16.7; Table 1) and indicate derivation of the detrital material from a continental source (Fyffe and Pickerill 1993).

SiO2 exhibits a strong negative correlation with CaO (r = −0.75) and P2O5 (r = −0.59, n = 26) indicating decrease of calcite and phosphate with increasing contents of quartz. SiO2 shows statistically significant correlation with Al2O3 (r = 0.95), TiO2 (r = 0.50) and K2O (r = 0.81, n = 26). Al2O3 exhibits statistically significant correlation with TiO2 (r = 0.57) and K2O (r = 0.77, n = 26). These linear relationships suggest detrital sorting effect of sediments during transportation. The K2O/Na2O ratio values (average = 2.7) indicate the presence of K-bearing minerals such as K-feldspar, muscovite, and biotite. Although Na2O statistically significant correlation with Fe2O3 (r = 0.49, n = 26) and negative correlation with CaO, MgO, TiO2, and P2O5, suggest the presence of smectite (Nagarajan et al. 2007).

Trace element

Zirconium (Zr) shows an average of 169.7 ppm; this value closely concurs with the average shales of Turekian and Wedepohl (1961) and NASC of Gromet et al. (1984) (160 and 200 ppm, respectively). It has an average of 191.5 ppm, which is closely similar to the average black shales of Vine and Tourtelot 1970 (200 ppm), identifying that Sr may be concentrated by noncalcareous plankton (Knauer and Martin 1973), and especially aragonitic materials and shells. The average Ni content (55.3 ppm) is similar to the average shales of NASC of Gromet et al. (1984) (58 ppm) and higher than average black shales of Vine and Tourtelot 1970 (50 ppm). This indicates that Ni may be associated with organic matter. The average Zn and Cu contents in the studied samples is 101.4 and 47.4 ppm, respectively, these values are slightly similar to that average shale (95 and 45 ppm, respectively) of Turekian and Wedepohl (1961).

In comparison to PAAS, the Upper Miocene Samh shales are lower in large ion lithophile trace elements (Rb, Cs, and Ba) and transition trace elements (Co, Ni, Sc, and Cu) (Fig. 7b). Trace elements like Zr, Cr, Pb, Sc, Rb, and Cs are positively correlated with Al2O3 (r = 0.59, 0.54, 0.52, 0.38, 0.26, and 0.25, respectively; n = 26), indicating that these elements are likely fixed in K-feldspars and clays (Armstrong-Altrin et al. 2015b). On the other hand, the correlation of Al2O3 versus Co, Cd, V, U, Cu, Ni, Th, Ba, Hf, Sr, and Zn is statistically not significant (r = 0.16, 0.12, 0.01, −0.001, −0.06, − 0.07, −0.08, −0.09, −0.12, −0.42, and −0.45, respectively; n = 26), indicating that they are not likely bound in the clay minerals (Armstrong-Altrin 2009).

Discussion

Weathering and sediment recycling

The intensity of chemical weathering is controlled by various factors: source rock composition, climatic conditions, duration of weathering, and rates of tectonic uplift of source region (e.g., Akarish and El-Gohary 2008; Moosavirad et al. 2011). During these processes, the large cations (e.g., Ba and Al) remain preserved in the weathering residue in contrast to the smaller cations (Na, Ca, and Sr) that can be selectively removed (Fedo et al. 1996; Nath et al. 2000; Akarish and El-Gohary 2008). The degree of weathering is quantified by various methods. A few indices of weathering have been proposed based on the abundances of mobile and immobile element oxides (Na2O, CaO, K2O, and Al2O3). Among different indices of weathering, the Chemical Index of Alteration (CIA; Nesbitt and Young 1982) is used in various studies to quantify the degree of weathering. Source area weathering and elemental redistribution during diagenesis can also be assessed using Plagioclase Index of Alteration (PIA; Fedo et al. 1995) and Chemical Index of Weathering (CIW; Harnois 1988).

The CIA, PIA, and CIW values of the Samh shales have been calculated by following the procedure of McLennan (1993), and the results are provided in Table 1. Based on the CIA values, the degree of weathering varies from 73.12 to 81.78 (average = 79.3). The average CIA is within the range of the PAAS values (70–75; Taylor and McLennan 1985). These values indicate a moderate to intense chemical weathering in the source area. A narrow range in CIA values (73–81; Table 1), indicating mature sediments, which are consistent with the SiO2/Al2O3 ratio (Fig. 5). According to the PIA values, the intensity of alteration of source material varies from 85 to 94, with an average of 91. The CIW values suggest the degree of source weathering in the range from 88 to 95, with an average of 93. Average PIA and CIW values (91 and 93 %, respectively) indicate a higher degree of weathering than the values inferred from CIA values (79.3 %).

The CIA values are also plotted in Al2O3 − (CaO* + Na2O) − K2O(A–CN–K) triangular diagram (molecular proportion; Fedo et al. 1996; Fig. 8) which identifies the differentiation of compositional changes associated with chemical weathering and/or source rock composition (Deepthi et al. 2012; Ghosh et al. 2012). The Samh shales plot above plagioclase–K-feldspar joint and show a narrow linear trend that runs towards the “A” edge (Fig. 8). This is primarily due to removal rates of Na and Ca from plagioclase being generally greater than the removal rates of K from microcline (Nesbitt and Young 1984). The plots trend toward the A apex (Fig. 8) and do not exhibit any inclination toward the K apex indicating that the shales were not subjected to potash metasomatism during diagenesis. When the trend line extended backward, this line intersects the plagioclase–K-feldspar joint near the granite field (probable source rocks). Linear weathering trend of the Samh shales defines a steady-state weathering condition. This is primarily due to removal rate of material is equal to the rate of production of weathering materials (Nesbitt et al. 1997; Nesbitt and Young 2004).

Fig. 8
figure 8

A–CN–K ternary diagram of molecular proportions of Al2O3–(CaO* + Na2O)–K2O (after Nesbitt and Young 1982)

Provenance

The chemical composition of siliciclastic sediments has been widely used to identify the source rocks characteristics (e.g., Cullers 1995; Armstrong-Altrin et al. 2004, 2012; Zaid 2012, 2015). In order to infer the provenance of siliciclastic rocks, several major- and trace element-based discrimination diagrams have been proposed by various authors (e.g., Roser and Korsch 1988; Floyd et al. 1989; McLennan et al. 1993). On the major element based provenance discrimination diagram of Roser and Korsch (1988), the Samh shales plot in the quartzose sedimentary and felsic igneous provenance fields (Fig. 9).

Fig. 9
figure 9

Provenance discrimination diagram for shales (after Roser and Korsch 1988). Discriminant function 1 = (−1.773 × TiO2%) + (0.607 × Al2O3%) + (0.76 × Fe2O3 T%) + (−1.5 × MgO%) + (0.616 × CaO%) + (0.509 × Na2O%) + (−1.22 × K2O%) + (−9.09). Discriminant function 2 = (0.445 × TiO2%) + (0.07 × Al2O3%) + (−0.25 × Fe2O3 T%) + (−1.142 × MgO%) + (0.438 × CaO%) + (0.432 × Na2O%) + (1.426 × K2O%) + (−6.861)

The silica content of the igneous source rocks can be inferred from the Al2O3/TiO2 ratio of siliciclastic rocks. According to Hayashi et al. (1997), the Al2O3/TiO2 ratio and SiO2 contents vary in the igneous rocks as follows: (a) the values of Al2O3/TiO2 were 3 to 8 in mafic igneous rocks (SiO2 content from 45 to 52 wt%), (b) the values of Al2O3/TiO2 ratio were 8 to 21 in the intermediate igneous rocks (SiO2 content from 53 to 66 wt%), and (c) the values of Al2O3/TiO2 were 21 to 70 in felsic igneous rocks (SiO2 content from 66 to 76 wt%). The Al2O3/TiO2 ratio of the Samh shales vary from 10.96 to 22.6 (average = 16.7) and SiO2 contents vary from 48.96 to 69.12 wt% (average = 62.1 wt%). These values suggest that the source rocks of the Samh shales are felsic igneous rocks.

On the Al2O3–(CaO + Na2O + K2O)–(FeOT + MgO) ternary diagram (Hayashi et al. 1997), the shales plot along chlorite–illite trend near smectite field away from (FeOT + MgO) apex and trend toward Al2O3 apex (Fig. 10a). This diagram reiterates (albeit indirectly) the felsic nature of the source rocks. Concentration of zircon (Zr) is also used for characterizing the nature and composition of source rocks (Hayashi et al. 1997). As the average concentrations of Zr and TiO2 do not show a wide variation (Table 2), it may be possible that significant fractionation of Zr and Ti might not have occurred during transportation and deposition of Samh shales. Average Zr content of the Samh shales varies from 135 to 208 ppm (Table 2), which is similar to the average value of granite and granodiorite. The TiO2 versus Zr plot (Hayashi et al. 1997) of the Samh shales represents felsic igneous source rocks (Fig. 10b). Overall, the provenance discrimination diagrams indicate that the nature of the source rocks was felsic (granitic).

Fig. 10
figure 10

Provenance diagrams. a Al2O3–(CaO + Na2O + K2O)–(FeOT + MgO) ternary diagram (after Hayashi et al. 1997). b TiO2 wt% versus Zr (ppm) bivariate diagram (after Hayashi et al. 1997)

Tectonic setting

Several studies have shown that the geochemistry of siliciclastic rocks is significantly controlled by plate tectonic settings of the source area, and consequently sediments derived from different tectonic settings possess specific geochemical signatures (e.g., Bhatia 1983; Bhatia and Crook 1986; Roser and Korsch 1986). Tectonic settings of ancient terrains can be inferred from major- and trace element-based discrimination diagrams (e.g., Bhatia 1983; Bhatia and Crook 1986; Roser and Korsch 1986). These diagrams discriminate oceanic island arc, continental island arc, active continental margin, and passive margin. On the bivariate diagrams of Roser and Korsch (1986) and Bhatia (1983), most shale samples plot in the passive margin field, except few, which fall in the active continental margin field (Fig. 11a, b). This makes it most probable that the Samh shales were deposited chiefly in a passive margin setting. The passive margin comprises rifted continental margins and is developed along the edges of the continents (Bhatia 1983).

Fig. 11
figure 11

Tectonic discrimination diagrams for the Samh shales (fields are demarcated after a Roser and Korsch 1986 and b Bhatia 1983)

However, these diagrams were evaluated by other researchers and they cautioned the use of these previously proposed discrimination diagrams (e.g., Armstrong-Altrin and Verma 2005; Ryan and Williams 2007; Armstrong-Altrin 2015; Armstrong-Altrin et al. 2015b). Recently, Verma and Armstrong-Altrin (2016) proposed two new discriminant function diagrams for the discrimination of active and passive margin settings. On these plots (Fig. 12a, b), the samples exclusively plot in the passive margin field, which is consistent with bivariate diagrams of Roser and Korsch (1986) and Bhatia (1983) (Fig. 11a, b).

Fig. 12
figure 12

The new multidimensional discriminant function diagrams proposed by Verma and Armstrong-Altrin (2016) for the discrimination of active (A) and passive (P) margin settings. a Major element (M) based diagram. b Combined major and trace element (MT)-based diagram. The discriminant function equations are as follows: a DF(A-P)M = (3.0005 × ilr1Ti) + (2.8243 × ilr2Al) + (−1.0596 × ilr3Fe) + (−0.7056 × ilr4Mn) + (−0.3044 × ilr5Mg) + (0.6277 × ilr6Ca) + (−1.1838 × ilr7Na) + (1.5915 × ilr8K) + (0.1526 × ilr9P) − 5.9948. b DF(A-P)MT = (3.2683 × ilr1Ti) + (5.3873 × ilr2Al) + (1.5546 × ilr3Fe) + (3.2166 × ilr4Mn) + (4.7542 × ilr5Mg) + (2.0390 × ilr6Ca) + (4.0490 × ilr7Na) + (3.1505 × ilr8K) + (2.3688 × ilr9P) + (2.8354 × ilr10Cr) + (0.9011 × ilr11Nb) + (1.9128 × ilr12Ni) + (2.9094 × ilr13V) + (4.1507 × ilr14Y) + (3.4871× ilr15Zr) − 3.2088

Verma and Armstrong-Altrin (2013) also proposed two discriminant function-based major element diagrams for the tectonic discrimination of siliciclastic sediments from three main tectonic settings: island or continental arc, continental rift, and collision, which have been created for the tectonic discrimination of high-silica [(SiO2)adj = 63–95 %] and low-silica rocks [(SiO2)adj = 35–63 %]. These two new diagrams were constructed based on worldwide examples of Neogene–Quaternary siliciclastic sediments from known tectonic settings, loge ratio transformation of ten major elements with SiO2 as the common denominator, and linear discriminant analysis of the loge-transformed ratio data. Recently, these diagrams were evaluated by Armstrong-Altrin (2015) and identified a good functioning of these diagrams for discriminating the tectonic setting of older sedimentary basins. Similarly, these diagrams were used in recent studies to discriminate the tectonic setting of a source region, based on sediment geochemistry (Armstrong-Altrin et al. 2014, 2015a, b; Zaid and Gahtani 2015; Zaid 2015). On these plots (high-silica and low-silica diagrams; Fig. 13a, b), the samples exclusively plot in the rift field. The results obtained from these two discriminant function-based multi-dimensional diagrams provide a good evidence for the Red Sea–Eastern Desert tectonic system, which is consistent with the general geology of Egypt (Said 1990).

Fig. 13
figure 13

a New discriminant function multi-dimensional diagram proposed by Verma and Armstrong-Altrin (2013) for high-silica clastic sediments from three tectonic settings (arc, continental rift, and collision). The subscript m1 in DF1 and DF2 represents the high-silica diagram based on loge ratios of major elements. The discriminant function equations are as follows: DF1(Arc–Rift–Col)m1 = (−0.263 × In(TiO2/SiO2)adj) + (0.604 × In(Al2O3/SiO2)adj) + (−1.725 × In(Fe2O3 t/SiO2)adj) + (0.660 × In(MnO/SiO2)adj) + (2.191 × In(MgO/SiO2)adj) + (0.144 × In(CaO/SiO2)adj) + (−1.304 × In(Na2O/SiO2)adj) + (0.054 × In(K2O/SiO2)adj) + (−0.330 × In(P2O5/SiO2)adj) + 1.588. DF2(Arc–Rift–Col)m1 = (−1.196 × In(TiO2/SiO2)adj) + (1.604 × In(Al2O3/SiO2)adj) + (0.303 × In(Fe2O3 t/SiO2)adj) + (0.436 × In(MnO/SiO2)adj) + (0.838 × In(MgO/SiO2)adj) + (−0.407 × In(CaO/SiO2)adj) + (1.021 × In(Na2O/SiO2)adj) + (−1.706 × In(K2O/SiO2)adj) + (−0.126 × In(P2O5/SiO2)adj) − 1.068. b New discriminant function multi-dimensional diagram proposed by Verma and Armstrong-Altrin (2013) for low-silica clastic sediments from three tectonic settings (arc, continental rift, and collision). The subscript m2 in DF1 and DF2 represents the low-silica diagram based on loge ratio of major elements. Discriminant function equations are as follows: DF1(Arc–Rift–Col)m2 = (0.608 × In(TiO2/SiO2)adj) + (−1.854 × In(Al2O3/SiO2)adj) + (0.299 × In(Fe2O3 t/SiO2)adj) + (−0.550 × In(MnO/SiO2)adj) + (0.120 × In(MgO/SiO2)adj) + (0.194 × In(CaO/SiO2)adj) + (−1.510 × In(Na2O/SiO2)adj) + (1.941 × In(K2O/SiO2)adj) + (0.003 × In(P2O5/SiO2)adj) − 0.294. DF2(Arc–Rift–Col)m1 = (−0.554 × In(TiO2/SiO2)adj) + (−0.995 × In(Al2O3/SiO2)adj) + (1.765 × In(Fe2O3 t/SiO2)adj) + (−1.391 × In(MnO/SiO2)adj) + (−1.034 × In(MgO/SiO2)adj) + (0.225 × In(CaO/SiO2)adj) + (0.713 × In(Na2O/SiO2)adj) + (0.330 × In(K2O/SiO2)adj) + (0.637 × In(P2O5/SiO2)adj) − 3.631

Conclusions

The Samh Formation consists of sandstone underlies by shale and marl intercalations. The Samh shales are texturally classified as mudstones. Mineralogically, these shales consist mainly of smectite and kaolinite, associated with non clay minerals (abundant quartz and traces of plagioclase, microcline, and halite). Compared to PAAS, the Samh shales are enriched in SiO2, Al2O3, and Fe2O3 and depleted in TiO2, P2O5, and Na2O contents and moderately depleted in MgO and K2O contents. Depletion of Na2O in the shales relative to PAAS suggests either lesser amount of plagioclase detritus in the shales and/or comparatively intense chemical weathering at the source area. Depletion of TiO2 and K2O suggests that phyllosilicate minerals exist in lesser quantities in the shales.

Trace elements like Zr, Cr, Pb, Sc, Rb, and Cs are positively correlated with Al2O3 indicating that these elements are likely fixed in K-feldspars and clays, while Co, Cd, V, U, Cu, Ni, Th, Ba, Hf, Sr, and Zn show very low or negative correlation with Al2O3, indicating that they are not likely bound in the clay minerals.

The CIA, PIA, and CIW values (between 73 and 95) indicate moderate to intense weathering in the source area. The SiO2 versus (Al2O3 + K2O + Na2O)% diagram indicates that the Samh shales were deposited under arid to semiarid conditions.

The recent tectonic discriminant function diagrams indicate a rift setting for the studied shales. The inferred tectonic setting for the Upper Miocene Samh shales in Marsa Alam is in agreement with the tectonic evolutionary history of the Eastern Desert of Egypt during the Upper Miocene.