Introduction

The process of emission of radon and thoron from the soil and other materials by the radioactive decay of radium and thorium is considered as the most important parameters for evaluating the behavior and concentrations of environmental 222Rn and 220Rn. Their exhalation rate depends upon many physical factors associated with soil as soil morphology, soil mineralogy, size of soil grain, soil porosity, and soil permeability. It also depends upon some other parameters such as radium and thorium content in the soil and emanation coefficient of soil grains (Aburnurad and Al-Tamimi 2001). The more porous the material, the higher the chance of radon exhalation from soil because of eminent diffusion of the radon gas. Radon can exhale from the orifice volume into the environment assignable to diffusion and convection. The high indoor radon concentration from soil because of their elevated radon exhalation rates can be assigned to strong uranium/radium enrichment. Therefore, it is significant to quantify the level of radon and thoron exhalation rate from the soil. This information is helpful in locating zones with a danger of high radon and thoron exposure.

The main contribution to the radioactivity of the soil comes from the decay series of the primordial radionuclides 238U and 232Th and other specific radionuclide 40K. The gamma-ray emissions from radionuclide and α particles emitted during the decay of 238U, 226Ra, 222Rn, 220Rn, and their progeny possess exposure risk to human beings (UNSCEAR 2000a). According to the National Council on Radiation Protection and Measurements (1987), about 82% of the radiation dose taken by humans are because of natural radiation sources, while the rest is due to anthropogenic reasons. The natural radionuclide concentration in environmental samples varies with the geographical and geological features of the region. The knowledge regarding these natural radionuclides content levels and their impact on the environment is of great significance in various fields like science and engineering (IAEA 2002; Jadiyappa 2018).

Many researchers worldwide are engaged in the field of natural radioactivity measurements (Al-Jundia et al. 2003; Agbalagba and Onoja 2011; Kumar et al. 2009; Mir and Rather 2015) and measurements of the soil exhalation rate of radon and thoron (Ielsch et al. 2002; Rafique et al. 2011; Saad et al. 2013; Sun et al. 2004) which has resulted in worldwide mapping to assess the impact of exposure to human health due to its carcinogenic nature.

As per the latest literature survey in the northern part of India, measurements of natural radioactivity and radon/thoron exhalation rates have been carried out in some areas of Punjab (Badhan and Mehra 2012; Mehta et al. 2015) and Himachal Pradesh (Sharma et al. 2003; Singh et al. 2016). But no research study was conducted previously for the assessment of radon/thoron exhalation rates and radionuclide contents in soil samples of Jammu district, J & K. Therefore, this work aims at the determination of the natural radioactivity and radon/thoron exhalation rates in soil samples with known characteristics (porosity, density, and emanation factor and radon flux rate) to keep reference records for future investigation and mapping. The potential radiological hazards associated with the studied materials were also assessed and compared with the values published by various agencies. The main purpose of the present work is to determine the levels of natural radioactivity, to calculate exhalation rates, and to look out for health-related risks to the inhabitants of the area under study.

Geology of the study area

Figure 1 illustrates the survey zone of Jammu district, which is a part of northern India and is the southernmost region of J & K state. Geographically, it expands from latitudes 32° 33′ 07″ to 33° 07′ 30″ north and longitudes 73° 51′ 19″ to 75° 08′ 52″ east. Jammu lies in the sub-mountain region, in the foothills of the Himalayas. The sediments of outer plains have been laid down by the descending rivers, debouching the plains and shaded their sediment load. These sediments contain gravels, pebbles, sand, boulders, and clays. These outer plains are categorized into the “Kandi” channel along the north in which the characteristics of rocks differ from clusters of clay, including stone, and the other “Sirowal” channel along the south which includes only supreme alluvium such as sludge.

Fig. 1
figure 1

Geological map of surveyed locations of Jammu district, Jammu and Kashmir, India

Physiographically speaking, the zone involves two utmost sections stretching all over the district. One section is the mountainous belt of Siwalik formations which spreads in the northern segment, whereas the other section is a plain belt, comprising the southern segment (Kaur et al. 2018a). The plain belt fuses with the Indogangetic plain along the south, and the Siwalik range ascends step by step along north of the zone. The Siwalik range spreads between the Himalayan Frontal Thrust (HFT) in the southern part and the Main Boundary Thrust (MBT) in the northern part and splits in lower, middle, and upper Siwalik emergences. Lithostratigraphic units of the Siwalik formations are summarized as follows:

The rocks of lower Siwalik have a wide range of sedimentary rocks from a dark red consolidated mud to yellow sand or quartz grains which are cemented together, and their progression involves basically moderate clay. The sand is less dense with variation in their size from fine to average. However, the rocks of the middle Siwalik range between upper Miocene and lower Pliocene, and they are mostly sandy formed from grayish and brownish mud. The sandstones vary in size from large to medium grained and are delicate.

The upper Siwalik subgroup ranges in age from upper Pliocene to Pleistocene age. The upper Siwalik subgroup has two faces. The lower part is sandy with conglomerate intercalations, whereas in the upper part, cobble and boulder conglomerates are dominant. The sandstones of the lower part are medium to coarse grained, soft, pebbly and gray in color and alternate with conglomerates having a pebble casts. Overlying these faces are the thick cobble and boulder conglomerate beds.

There are two categories of soils, i.e., lithosols and alluvial soil. Lithosols are observed on sheer slants in the foothills of the region, and the soil diversifies from parched to slime fertile clay along pebbles in a minute ratio. Alluvial soil substantially appears along the outer plain area which is fertile with a small proportion of clay and contains a little amount of lime with good magnesium quantity.

Experimental technique

Sampling

In the present study, the soil samples from 30 villages of Jammu district were assembled 30 cm deep inside the soil’s surface to get natural, static, and pure samples that have not been mixed up with environmental impurities. Only one soil sample of mass about 1000g was taken from each village, and assembled samples were placed in polyethylene sealable flaps, named properly, and studied at the DAV College, Nuclear Research Lab, for further analysis. These samples were left in the open air (Kaur et al. 2018b) before exhalation measurement. Figure 2 represents the flow chart of the research methodology for the present work.

Fig. 2
figure 2

Flowchart of the present research methodology

Statistical analysis

The normality of the data was checked by the Shapiro-Wilk test (Shapiro and Wilk 1965). The Mann-Whitney non-parametric homogeneity test (Mann and Whitney 1947) studied the contrast of medians to detect uniformity. Marked dissimilarity within the contents of the radon flux rate was observed for in situ and empirical methods. Every statistical task was done at a standard significant level (0.05).

Exhalation rate

Various approaches can be applied to study the radon release from soil samples. In the present study, radon flux rate and radon and thoron exhalation rate were measured by using Advanced Smart Rn Duo technique developed by Bhabha Atomic Research Centre (Gaware et al. 2011). The instrument is based upon tracing the alpha (α) particles released during the decay process of 222Rn/220Tn and their progeny created due to flashing with ZnS (Ag) inside the chamber. Counts secured for each interval are converted into radon, thoron, and alpha activity concentration using a smart algorithm incorporated in the micro-controller. The scintillation detection technique for continuous measurement of radon assures many advantages over electrostatic collection–based semiconductor detectors. Since the detection concept is based on direct scintillation with ZnS(Ag), it does not have any involvement from charge negating factors (like humidity, CO2, and CH4) unlike in the case of electrostatic collection–based radon detector. Hence, Smart RnDuo does not need any additional traps (such as moisture, methane, and carbon dioxide) in the sampling passage, and its outcomes are inevitably relieved from the causes of trace gases and humidity.

Gamma spectrometry

The dried soil samples were converted into minute particles with the help of mortar and pestle after eliminating pebbles and organic substances from it. The samples were filtered with a 150-μm mesh sized strainer to make specimens homogenized. The cleaned soil samples were sealed in an impermeable cylindrical polypropylene vessel having dimensions 20.32″ ×16.51″. The airtight vessels were kept at room temperature for a month; therefore, 226Ra and 222Rn could reach their radioactive equilibrium (Kaur et al. 2018b). Natural radioactivity of radionuclides 232Th, 238U, and 40K in prepared soil samples was measured using thallium (Tl)-doped sodium iodide (NaI) detector. The activity of 238U was calculated from the 1764 keV gamma lines of 214Bi, that of 40K from the 1460 keV photo peak, while that of 232Th from the 2610 keV gamma lines of 208TI. The details of the method and analytical procedure are described elsewhere (Kaur et al. 2018b). The specific activity (Ac) of the nuclides is then calculated by using the following equation (Kaur et al. 2018b):

(1)

The definition of the factors is provided in Table 1.

Table 1 Definitions and values of variable and constant factors

Methodology

Radon mass exhalation rate

The radon emission potential of powder sample is governed by the radon mass exhalation rate, and it can be estimated by performing measurements using Smart RnDuo of the dried soil samples (typically about 400–800g) in a mass exhalation chamber (designed for the Smart RnDuo device, height 8cm) for 24 h (Kaur et al. 2017, 2018c). Exhalation of radon concentration in the chamber is monitored at organized meantime (i.e., 60-min cycle). The diffusion mode was used for measurements, and the chamber has been linked directly to the detector probe as described in Fig. 3. The “progeny filter” and “pinhole plate” eliminate the entry of daughter products and thoron due to “diffusion time delay” and allow only the scintillations due to radon and its daughters which are further enhanced by using a photomultiplier tube and resulted in count rate.

Fig. 3
figure 3

Setup for measurement of radon mass exhalation rate from soil sample using SMART RnDuo in diffusion mode of sampling

The radon concentration C(T) at time T corresponds to accumulation inside the chamber as per the relationship (Sahoo et al. 2007):

(2)

where the porosity (Є ) of soil is defined as (Shiroma et al. 2015):

(3)

In linear approximation (i.e., by restricting the measurement time within 20 h), Eq. (2) can be converted to:

(4)

The build-up radon concentration inside the chamber has been transferred into the computer and has been analyzed by using OriginPro 8 software (Menon et al. 2015). Followed by least-square fitting of the data for Eq. (4), JRm from the fitted slope (Fig. 4) value has been calculated with the information of mass and residual air volume of the setup as:

(5)
Fig. 4
figure 4

Least square fitting of build-up radon concentration (Bq m−3) in the SMART RnDuo monitor with time (h)

The definition and values of the various used factors are provided in Table 1.

Thoron surface exhalation rate

Because of the low diffusion length (1–2 cm) of thoron in the air, protocols are different for evaluation of the thoron surface exhalation rate by Smart RnDuo (Gaware et al. 2011). One of the pump pipelines is linked to the flow mode sampler following a program-based sampling. The same mass exhalation chamber (height 8cm) has been used with an additional lid over it. A couple of cylindrical tubes (radius 0.25cm) were used for the circulation of air inside the chamber, and a closed-circuit loop was formed by linking the scintillation monitor to the chamber via a pump (Fig. 5). During the quarter revolution, a sampling pump was kept on for the first 5 min, which provides the assessment of background and thoron, pursuing the next 5 min, which ensures total decay of thoron, and lastly 5 min responsible for background counts. The thoron surface exhalation rate (JTs) in samples can be acquired through maintaining the content of the thoron CT interior of the chamber with relation given by Chauhan et al. (2014).

Fig. 5
figure 5

Setup for measurement of thoron surface exhalation rate from soil sample using SMART RnDuo in flow mode

Radon surface flux rate

In our present study, the radon emission flux rate was measured using the surface chamber (cylindrical shape accumulator) with height 15 cm and diameter 30cm and compared with the empirical and in situ method. For the measurement of radon surface flux, the edge of the accumulator has been deployed 0.5 cm deep on the soil surface (Fig. 6). The measurement has been done for about 4–5 h for a quarter rounds to analyze the escalation of radon concentration inside the accumulator volume. At the end of the measurements, build-up data on radon concentration with an elapsed time (t) was retrieved, plotted, and fitted to the equation given by Sahoo et al. (2010). Followed by least-square fitting of the experimentally obtained radon accumulation values to the exponential decay equation (Sahoo et al. 2010), we can get radon surface flux rate Fm (Bq m2 h−1). The empirical Fe and in situ Fi radon surface flux rates (Bq m2 h−1) were evaluated by the process reported by researchers (Sun et al. 2004; Sahoo et al. 2010; Rogers and Nielson 1991; Zhuo et al. 2006; Nazaroff and Nero Jr. 1988).

Fig. 6
figure 6

Experiment setup for the measurement of radon flux (Bq m−2 h−1) from the soil surface using SMART RnDuo in flow mode

Elemental concentration of radionuclide contents

The specific activity of 232Th, 238U, and 40K has been transmitted into the elemental concentrations of Th (in ppm), U (in ppm), and K (in %) using the following relation (UNSCEAR 2000a, 2000b, 2000c; Celika et al. 2009):

$$ \mathrm{EC}=\frac{{\mathrm{A}}_{\mathrm{C}}\times {\mathrm{A}}_{\mathrm{M},\mathrm{E}}\times \mathrm{F}}{\uplambda_{\mathrm{E}}\times {\mathrm{N}}_{\mathrm{A}\mathrm{v}}\times {\mathrm{h}}_{\mathrm{E}}} $$
(6)

The definitions and values of various provided factors are given in Table 1. The elemental concentration of 238U was determined by presuming the secular equilibrium among 238U and 226Ra and 226Ra and 222Rn.

Results and discussion

The radon mass exhalation rate was found to be varying from a minimum of 15 ± 0.4 to a maximum of 38 ± 0.8 mBq kg−1 h−1 with an average value of 26 ± 6 mBq kg−1 h−1 (Table 2). The thoron surface exhalation rate was found to vary from a minimum of 90 ± 22 to maximum of 4880 ± 280 Bq m−2 h−1 with an average value of 1997 ± 1040 Bq m−2 h−1 (Table 2). The variation in radon mass and thoron surface exhalation rate is due to the nature of the samples, emanation factors, flux density, and porosity of the soil, respectively. The large variation of thoron surface exhalation rate in soil samples is because of assorted characteristics of rocks of the region which changes remarkably throughout the area. Relatively higher values of thoron surface exhalation rate in a few locations of hilly areas such as Nagrota (2700 ± 290 Bq m−2 h−1), Nandini (4090 ± 390 Bq m−2 h−1), Dansal (3260 ± 220 Bq m−2 h−1), Jindrah (4880 ± 280 Bq m−2 h−1), and Kishanpur (4420 ± 430 Bq m−2 h−1) can be associated along the profusion of colloidal dimension division in the alluviums of upper Siwalik.

Table 2 Measurement of exhalation rate and specific activity of radionuclide content in soil samples of Jammu district

The median values of radon mass exhalation rate and thoron surface exhalation rate are 28 ± 6 mBq kg−1 h−1 and 1755 ± 1040 Bq m−2 h−1, respectively. The larger mean value of the thoron surface exhalation rate than the median value indicated that the distribution is positively skewed. The value of kurtosis and skewness also specifies that the dispensation is log-normal. In the case of radon mass exhalation rate, the mean value is comparatively equal to the median value, clearing that the distribution is normal. The normal distribution of radon mass exhalation rate is also depicted by the values of skewness and kurtosis.

The Shapiro-Wilk (SW) (Shapiro and Wilk 1965) test was also implied to study the normality of the radon mass and thoron surface exhalation rate. In the case of radon mass exhalation rate, the Shapiro-Wilk test presented a test static of 0.91 along 0.22 as a p value, and for thoron surface exhalation rate, the p value was 0.01 along 0.93 as a test static. The p value in the case of radon mass exhalation rate is greater than 5%; therefore, the test credited the presumption of normality. On the other hand, the p value of the thoron surface exhalation rate is smaller than 5%; therefore, the test rejects the hypothesis of normality. The SW test is in agreement with the values of standardized skewness and kurtosis.

In the present appraisal, the observed results of radon mass exhalation rate were higher as compared to Mohali, Punjab, Northern India (0.3 to 3 mBq kg−1 h−1) ( Mehta et al. 2015), Southern Punjab (1 to 9 mBq kg−1 h−1) (Mujahid et al. 2010), and Azad Kashmir (5 to 10 mBq kg−1 h−1) (Rafique et al. 2011) of Pakistan. The observed values of radon mass exhalation rate in the analyzed samples were in general comparable to the values of Kangra district (15 to 35 mBq kg−1 h−1) (Sharma et al. 2003) and Nurpur area (15 to 35 mBq kg−1 h−1) (Singh et al. 2007) of Himachal Pradesh and Udhampur area (6 to 22 mBq kg−1 h−1) (Kumar et al. 2009) and Ganderbal district (5 to 22 mBq kg−1 h−1) (Mir and Rather 2015) of Jammu and Kashmir Himalayas. However, the analyzed values were quite lower than that of Hamirpur district (10 to 54 mBq kg−1 h−1) (Singh et al. 2016) perhaps owing to leaching (Kaul et al. 1993) of radioactive components through the uranium upgraded province of the Himachal Himalayas. The values of the present investigation are also lower than those of five surveyed districts (28 to 91 mBq kg−1 h−1) of Northern Haryana (Chauhan et al. 2014), as these districts are covered by the segment of the Shivalik mountains along the Yamuna river; stream contains sand blend soil which has generally high radionuclide content.

The values of radon mass exhalation (15 to 38 mBq kg−1 h−1 ) were also compared with worldwide data. Ielsch et al. (2002) have reported a radon mass exhalation range of 0.3 to 25 mBq kg−1 h−1 in soil samples of France. Saad et al. (2013) have reported a radon mass exhalation range of 1.2 to 61 mBq kg−1 h−1 in Libyan soil samples. Tabar et al. (2016) have reported the range of 36 to 253 mBq kg−1 h−1 for radon mass exhalation rate in soil samples of southern Sakarya, Turkey. The range of radon mass exhalation was 8 to 234 mBq kg−1 h−1 for the soil samples of Alexandria city, Egypt (El-Zaher 2013).

UNSCEAR (2000a) report and Prajith et al. (2019) have showed that the worldwide average of the thoron surface exhalation rates is 3600 Bq m−2 h−1. The obtained mean value in the survey was much lower than the value of UNSCEAR (2000a) report, and most thoron exhalation rate values (about 90%) were within the global average value recommended by UNSCEAR (2000a) report. Only 10% of values (3 samples) were found above the world average.

Table 3 lists the various parameters used during the calculation of in situ measured flux rate and exhalation rate measured on soil samples. Table 3 depicted the range, average, standard deviation, and geometric mean of measured, empirical, and in situ radon fluxes from soil surface which shows that in situ and measured values of radon flux were almost same as compared to the empirical radon flux. This may be attributed due to the estimation of the radon flux rate from direct measurement, and in situ measurement was from the same soil profile. Figure 7 shows the correlation observed in the radon mass exhalation rate (Bq kg−1 h−1) with measured (correl coeff. = 0.58), in situ (correl coeff. = 0.77), and empirical (correl coeff. = 0.18) radon flux rates (Bq m−2 h−1).

Table 3 Soil parameters in collected soil samples of Jammu district, Jammu and Kashmir, India
Fig. 7
figure 7

Correlation observed for radon mass exhalation rate (Bq kg−1 h−1) with a measured radon flux (Bq m−2 h−1), b in situ radon flux (Bq m−2 h−1), and c empirical radon flux (Bq m−2 h−1)

The Mann-Whitney test was exercised under the null presumption that the medians of the radon flux rate for the measured, in situ, and empirical methods are the same (Mann and Whitney 1947). The Mann-Whitney test (1947) presented statistically noteworthy contrasts in the medians of the radon flux rate (Z = −6.6; p=0.000 <0.001) for measured, in situ, and empirical methods, respectively.

The world average specific activity is 35, 30, and 400 Bq kg−1 for 238U, 232Th, and 40K, respectively, reported in UNSCEAR (2000a). The average activity concentration of 238U is 24 ± 8 Bq kg−1 with a range of 10 ± 7 Bq kg−1 (sample collected at Ghou Manasa) to 40 ± 10 Bq kg−1 (sample collected at Kishanpur), and the average activity concentration of 232Th is 35 ± 14 Bq kg−1 with a range of 16 ± 7 Bq kg−1 (sample collected at Bantalab) to 70 ± 7 Bq kg−1 (sample taken at Jindrah) as given in Table 2. The arithmetic mean ± SD range of 40K series concentration was estimated to be 324 ± 89, 143 ± 15 (sample collected from Bantalab), and 513 ± 21 Bq kg−1 (sample collected from Nandini), respectively. The value of thoron concentration in fourteen soil samples (47%) and the value of potassium concentration in twenty-six soil samples (87%) were found within the world average values suggested by UNSCEAR (2000a). However, the concentration of 238U is very much comparable to world concentration. Relatively elevated values of 232Th and 40K in soil samples as compared to global mean perhaps correspond to the fact that that the soil of that region is thorium and potassium rich. The measured values of radionuclide contents, i.e., 238U, 232Th, and 40K of the present study, are also compared with worldwide research data (Table 4).

Table 4 Comparison of measured present values of radionuclide contents with worldwide data

Ramola et al. (2014) have reported the range of 238U, 232Th, and 40K as 8–285 Bq kg−1, 7–136 Bq kg−1, and 115–1588 Bq kg−1 in the Garhwal Himalayas, India. Bala et al. (2014) have reported the range of 238U, 232Th, and 40K as 36.4–51.9 Bq kg−1, 9.3–26.1 Bq kg−1, and 1361–1732 Bq kg−1 in Una, Himachal Pradesh, India. The range of 238U, 232Th, and 40K has been varied from 26.02 to 93.54 Bq kg−1, 29.34 to 114.41 Bq kg−1, and 348.15 to 752.98 Bq kg−1 in Punjab Province, Pakistan, cited by Rahman et al. (2011). Also, Rahman et al. (2009) cited the range of of 238U, 232Th, and 40K from 415 to 106.2 Bq kg−1, 4 to 193.8 Bq kg−1, and 325.3 to 657.4 Bq kg−1 in Islamabad, Pakistan. Badhan and Mehra 2012 have reported the range of 238U, 232Th, and 40K from 23.56 to 34.07 Bq kg−1, 41.98 to 63.07 Bq kg−1, and 432.98 to 800.09 Bq kg−1 in the soil samples of Ludhiana, India. The range of 238U, 232Th, and 40K has been varied from 2.26 to 30.57 Bq kg−1, 6 to 93.64 Bq kg−1, and 39.81 to 551.72 Bq kg−1 in the soil samples of Mining Area, Ghana, cited by Faanu et al. (2011). Abdellah et al. (2017) have reported the range of 238U, 232Th, and 40K from 7.75 to 250 Bq kg−1, 4 to 88 Bq kg−1, and 75 to 359 Bq kg−1 in sediments of River Nile, Egypt. The range of 238U, 232Th, and 40K has been varied from 16 to 102 Bq kg−1, 21 to 90 Bq kg−1, and 184 to 979 Bq kg−1 in the soil samples of Southern Serbia reported by Sarap et al. (2014). Hassan et al. (2010) reported the range of 238U, 232Th, and 40K from 0.8 to 320 Bq kg−1, 0.4 to 200 Bq kg−1, and 1 to 1100 Bq kg−1 in Japan. Gussain et al. (2012) have reported the range of 238U, 232Th, and 40K from 15.6 to 69 Bq kg−1, 28.9 to 973 Bq kg−1, and 39 to 952 Bq kg−1 in Odisha, India. Rani et al. (2015) have reported the range of 238U, 232Th, and 40K from 13 to 36 Bq kg−1, 40 to 71 Bq kg−1, and 294 to 781 Bq kg−1 in the soil samples of Rajasthan, India. Gulan et al. (2013) have reported the range of 238U, 232Th, and 40K from 21.2 to 91.1 Bq kg−1, 20.3 to 103.8 Bq kg−1, and 365.1 to 1148.7 Bq kg−1 in North Kosovska, Europe. Asaduzzaman et al. (2015) have reported the range of 238U, 232Th, and 40K from 49.4 to 60.5 Bq kg−1, 64.7 to 82 Bq kg−1, and 927.2 to 1080.3 Bq kg−1 in Bangladesh. Al-Jundi et al. (2005) have reported the range of 238U, 232Th, and 40K from 27.7 to 70.4 Bq kg−1, 5.9 to 32.9 Bq kg−1, and 30.8 to 58.5 Bq kg−1 in Jordan.

The activity of 238U, 232Th, and 40K follows the normal distribution as the values of the means are approximately equal to the median values. The values of skewness and kurtosis are 0.3 Bq kg−1 and −0.5 Bq kg−1 for 238U activity; 0.7 Bq kg−1 and −0.2 Bq kg−1 for 232Th activity; and 0.1 Bq kg−1 and 0.3 Bq kg−1 for 40K activity, respectively. This also follows the trend of normal distribution.

The elemental concentration of 238U, 232Th, and 40K was fluctuating between 0.8 and 3.2 mg kg−1; 4 and 17 mg kg−1; and 0.43 and 1.54% (Table 2). The mean values of elemental concentration were 2.0 ± 0.6 mg kg−1; 8 ± 3 mg kg−1; and 0.96 ± 0.27%, respectively. The average elemental concentration of 238U and 40K was found to be well within the mean values (2.8 mg kg−1 and 1.3%) published by UNSCEAR (2000a). However, the mean elemental value of 232Th was found comparable with the global average value (7.4 mg kg−1) given by UNSCEAR (2000a).

Figure 8a shows the correlation between the uranium activity and the radon mass exhalation rate and found a positive correlation coefficient of 0.6. Similarly, the correlation factor was observed between thorium activity and thoron surface exhalation rate and found a positive and weak correlation coefficient of 0.4 in Fig. 8b. Overall, thoron exhalation rate values were found higher than the recommended limit in most of the villages due to highly thorium-rich soil in the present study.

Fig. 8
figure 8

Correlation observed between a radon mass exhalation rate (mBq kq−1 h−1) and uranium content (Bq kg−1) and b thoron surface exhalation rate (Bq m−2 h−1) and thorium content (Bq kg−1)

Assessment of radiological hazards

The measured specific activity was used to estimate the radiological hazards associated with the soil of the studied area to demonstrate an effective conclusion for the health status of the inhabitants living in that area. To assess the radiation hazards associated with the studied soil samples, the following nine quantities have been studied.

Radium equivalent activity (Raeq)

The radium equivalent activity (Raeq) in Bq kg−1 was proposed to define homogeneity with respect to radiation exposure (OECD 2009) and to assess the radiation hazards originating due to the consumption of the soil in the construction of buildings. This radium equivalent activity represents a weighted summation of activities of 40K, 238U, and 232Th radionuclides and is based on the estimation that 370 Bq kg−1 of 238U, 259 Bq kg−1 of 232Th, and 4810 Bq kg−1 of 40K produce the same radiation dose rates. It is calculated by the following equation (UNSCEAR 2000a):

$$ {\displaystyle \begin{array}{c}{\mathrm{Ra}}_{\mathrm{eq}}=370\left(\frac{{\mathrm{A}}_{\mathrm{U}}}{370}+\frac{{\mathrm{A}}_{\mathrm{Th}}}{259}+\frac{{\mathrm{A}}_{\mathrm{K}}}{4810}\right)\\ {}\Rightarrow \kern0.5em {\mathrm{Ra}}_{\mathrm{eq}}={\mathrm{A}}_{\mathrm{U}}+1.43{\mathrm{A}}_{\mathrm{Th}}+0.077{\mathrm{A}}_{\mathrm{K}}\end{array}} $$
(7)

where AU, ATh, and AK are the specific activities (Bq kg−1) of 238U, 232Th, and 40K, respectively, in the soil samples. The calculated value of radium equivalent activity fluctuated between 55 and 159 Bq kg−1 along a mean of 99 ± 27 Bq kg−1 and is given in the third column of Table 5. All observed values have shown Raeq activities lower than the limit set by the OECD 2009 report (370 Bq kg−1), equivalent to an external gamma dose of 1.5 mSv a−1. Hence it does not bring about any health hazards to the population of a reviewed region.

Table 5 Measured values of Raeq, CF, Hex, Hin, Iγ, Iα, absorbed dose rate, annual effective dose, excess lifetime cancer risk, and annual gonald equivalent dose in studied soil samples collected from Jammu district

External and internal health effects

The external and internal health consequences caused by the existence of radionuclides in the soil are prescribed by the relation (Beretka and Mathew 1985; Bala et al. 2014; Ramola et al. 2014):

$$ {\mathrm{H}}_{\mathrm{ex}}=\frac{{\mathrm{A}}_{\mathrm{U}}}{370\mathrm{Bq}{\mathrm{kg}}^{-1}}+\frac{{\mathrm{A}}_{\mathrm{Th}}}{259\mathrm{Bq}{\mathrm{kg}}^{-1}}+\frac{{\mathrm{A}}_{\mathrm{K}}}{4810\mathrm{Bq}{\mathrm{kg}}^{-1}}\le 1 $$
(8)
$$ {\mathrm{H}}_{\mathrm{in}}=\frac{{\mathrm{A}}_{\mathrm{U}}}{185\mathrm{Bq}{\mathrm{kg}}^{-1}}+\frac{{\mathrm{A}}_{\mathrm{Th}}}{259\mathrm{Bq}{\mathrm{kg}}^{-1}}+\frac{{\mathrm{A}}_{\mathrm{K}}}{4810\mathrm{Bq}{\mathrm{kg}}^{-1}}\le 1 $$
(9)

Table 3 shows the mean value of 0.27 ± 0.07 for Hex with a range of 0.53 to 0.43. It is found to be below the criterion value (<1) (UNSCEAR 2000a; 1993). The values of this index must be less than unity if the radiation hazard is to be considered insignificant. An average value of Hin is determined to be 0.33, which is <1 as shown in the fifth column of Table 5, indicating that the internal hazard is below the critical value. It indicates that the soil samples are free from radiation hazards.

Absorbed dose rate (ADR)

Effects of gamma radiation are often expressed in terms of the absorbed dose rate in air, which originates from radionuclides in the soil. It is noteworthy in the radiation threat analysis as it quantifies the amount of rate of radiation deposited. The gamma absorbed dose rates are evaluated applying equation written below:

$$ \mathrm{ADR}\left({\mathrm{nGyh}}^{-1}\right)=0.604{\mathrm{A}}_{\mathrm{Th}}+0.462{\mathrm{A}}_{\mathrm{U}}+0.0417{\mathrm{A}}_{\mathrm{K}} $$
(10)

where the numerical factors are the conversion factors from Bq kg−1 to nGy h−1 (UNSCEAR 2000a). From Eq. (10), the dose contribution per unit activity concentration of 232Th to 238U to 40K is in the ratio of 1:0.8:0.07. The gamma absorbed doses in air ranged between 25 and 71 nGyh−1 with an average of 47 ± 12 nGyh−1. Of the soil samples, 87% were within the world average value published by UNSCEAR (2000a), i.e., 60 nGyh−1; hence the study area is posing no radiation hazard to the human population of the studied area.

Annual effective dose equivalent (AEDE)

To make a rough approximation of the annual ambient dose, one has to take into account the transformation factor for effective dose through absorbed dose and the outdoor occupancy factor (Bala et al. 2014; Ramola et al. 2014; Singh et al. 2016; UNSCEAR 2000a):

$$ \mathrm{AEDE}\ \left(\mathrm{Indoor}\right)\ \left(\upmu \mathrm{Sv}\ {\mathrm{a}}^{-1}\right)=\mathrm{ADR}\ \left({\mathrm{nGyh}}^{-1}\right)\times \mathrm{T}\left({\mathrm{In}}_{\mathrm{exp}}\right)\times {\mathrm{OF}}_{\mathrm{In}}\times {\mathrm{Dose}}_{\mathrm{CF}}\times {10}^{-3} $$
(11)
$$ \mathrm{AEDE}\ \left(\mathrm{Outdoor}\right)\ \left(\upmu \mathrm{Sv}\ {\mathrm{a}}^{-1}\right)=\mathrm{ADR}\ \left({\mathrm{nGyh}}^{-1}\right)\times \mathrm{T}\left({\mathrm{Out}}_{\mathrm{exp}}\right)\times {\mathrm{OF}}_{\mathrm{Out}}\times {\mathrm{Dose}}_{\mathrm{CF}}\times {10}^{-3} $$
(12)

where T (Inexp) and T(Outexp) are the indoor and outdoor rates of exposure duration, i.e., 7000 h a−1 and 1760 h a−1; OFOut and OFIn are an occupancy factor for outdoor (0.2) and indoor (0.8) effective dose; and DoseCF is an effective dose of the absorbed dose conversion factor (0.7 Sv Gy−1). The present value of outdoor and indoor annual effective dose equivalent is lower than the world average values of 70 μSv a−1 for outdoor and 450 μSv a−1 for indoor as tabulated in the seventh and eighth column of Table 5 (Ramola et al. 2014; Singh et al. 2016; UNSCEAR 1993).

Annual gonad equivalent dose (AGED)

The gonads, the activity of bone marrow, and the bone surface cells are considered as organs of interest (UNSCEAR 1988) because these are the most sensitive parts of the human body when exposed to radiation. To determine the exposure caused by radiation to sensitive parts of the human body, an annual gonad equivalent dose has been calculated as (Barreyni Toossi et al. 2009; Darwin et al. 2015; Raghu et al. 2016; UNSCEAR 1988):

$$ \mathrm{AGED}\ \left(\upmu \mathrm{Sv}\ {\mathrm{a}}^{-1}\right)=3.09{\mathrm{A}}_{\mathrm{U}}+4.18{\mathrm{A}}_{\mathrm{Th}}+0.31{4\mathrm{A}}_{\mathrm{K}} $$
(13)

where the numerical factors are the conversion factors from Bq kg−1 to μSv a−1 (UNSCEAR 1988). The average value of the annual gonad equivalent dose was found below the permissible values of 300μSv a−1 (UNSCEAR 2000a). This depicts that the gonad values produce no danger to the bone marrow and the bone surface cells of the inhabitants exploring soil in the study area.

Conclusions

The average radon mass exhalation rate and thoron surface exhalation rate were measured as 26 ± 6 mBq kg−1 h−1 and 1997 ± 1040 Bq m−2 h−1. The resulted values of radon mass exhalation rate are comparable to the values of the Nurpur area and Kangra district of Himachal Pradesh and Ganderbal district and Udhampur district of Jammu and Kashmir. The resulted values of radon mass exhalation rate were found to be lower than global values reported by researchers (Kaul et al. 1993; Saad, Abdallah and Hussain 2013; Singh et al. 2016). In a few locations, the calculated thoron surface exhalation rate values were slightly higher than the recommended value given by UNSCEAR (2000a) due to the profusion of colloidal dimension division in the alluviums of upper Siwalik. It is also observed that the distribution of the thoron surface exhalation rate was log-normal, while the distribution of radon mass exhalation rate was normal. In situ measured flux rate and exhalation rate measured on soil samples values were found in good agreement with the radon mass exhalation rate as compared to the calculated based on empirical equation. The average activity concentration of 238U, 232Th, and 40K were 24 ± 8 Bq kg−1, 35 ± 14 Bq kg−1, and 324 ± 89 Bq kg−1, respectively. The range of uranium concentration is comparable to worldwide values, but the concentration of thorium and potassium was found slightly higher than worldwide values due to thorium- and potassium-rich soil of the present study. A positive but very weak correlation has been found between the radon mass exhalation rate and uranium concentration in soil. All measured radiological hazards were found within their world average values, and hence the results revealed that the study sites are safe from a health perspective from the studied hazardous effects of radon and natural radioactivity.