Indian Journal of Radio & Space Physics Vol. 36, October 2007, pp. 418-422 Studies on radio frequency propagation characteristics for underground coalmine communications L K Bandyopadhyay, P K Mishra, S Kumar, D Selvendran & S K Chaulya Central Institute of Mining & Fuel Research, Dhanbad 826 001, India email: [email protected] Received 19 June 2007; accepted 27 July 2007 A basic understanding of the behaviour of electromagnetic wave propagation through strata is the fundamental requirement to design a suitable wireless communication system for underground mines. Background information on radio propagation and its limitations, in a particular confined space can be known only after the measurement. Both electromagnetic propagation studies and modelling of propagation coverage, ultimately help in selecting the best suitable frequency and designing appropriate wireless communication system for underground mine. The paper discusses different aspects for propagation modelling and the experiment conducted in the laboratory to understand the propagation characteristics through coal. It is found that 6 MHz frequency is the best suitable frequency for propagation of electromagnetic wave through coal. Keywords: Transceivers, Miner, Radio frequency wave, Directional antenna, Underground coal mine PACS No.: 84.40.Ba; 84.40.Ua; 41.20.Jb 1 Introduction The radio wave propagation through coal and rock strata suffers from dispersion, absorption and scattering of electromagnetic waves due to its natural properties and space limitations. The heterogeneous and complex structure of coal and rock strata further complicates the process of radio propagation. Radio frequency (RF) waves get attenuated significantly when traverse through coal strata due to absorption. The attenuation of signal mainly depends upon the dielectric constant and conductivity of coal strata. The dielectric constant of different types of coal available in Indian underground mines is given in Table 1. The dielectric constant for coal with 15% moisture content is 4. The conductivity of coal varies from 10–8 to 0.02 mho/m depending upon the physico-chemical properties of the coal1. To establish appropriate radio communication system in underground coal mines2-4, studies of radio propagation inside mine’s gallery and through coal and rock strata are of paramount importance. Apart from minewide communication, study of radio propagation through coal strata is itself important to establish communication through coal barrier. Although propagation characteristics of radio waves through tunnel have been studied by few researchers in some developed countries5,6, but rigorous studies have not been carried out so far in developing countries such as India for radio wave propagation through coal strata. Accident due to roof fall and collapse of side gallery is a regular occurrence in coal mines. The radio propagation through coal strata is an important technique to establish communication with the miners, trapped under coal debris. Therefore, the detecting system to locate the trapped miner is an useful device for rescue and relief operation. To meet the intrinsic safety criteria for hazardous zone7 (Indian Standard, IS 5780: 2002), the power restriction of transceiver to be used in underground mine is 2W, which further limits the communication range. Therefore, it is important to find out the suitable frequency, which is attenuated the optimum when Table 1 — Dielectric constant of different type of coal available in Indian underground mines Type of coal Dielectric constant Anthracite coal 3.2 Bituminous coal 2.8 Coal dust 2.5 Coal with 15 % moisture content 4.0 BANDYOPADHYAY et al.: CHARACTERISTICS OF RADIO FREQUENCY PROPAGATION IN COALMINE passing through strata. This will ultimately help in designing appropriate trapped miner locator and other wireless communication devices for underground mines. An experimental study has been carried out to analyze the radio wave propagation characteristics and to find out the suitable frequency for getting maximum signal strength, while passing through coal. The theories of electromagnetic propagation and laboratory experimental procedure along with the results are discussed in subsequent sections. 2 Wave propagation through medium In underground mine, the low frequency refractive index is predominately real, and is also greater than unity. Suppose, some fractions (f0) of the electrons are free in the sense of having initial frequency ω0 = 0. In this situation, the low frequency dielectric constant takes the form8,9. ε (ω)= n (ω) = n0 + iN e f0 /ε0 m ω (Γ – i ω) 2 2 2 0 2 …(1) where, n0 is the contribution to the refractive index from all the other resonances, N the number density of electrons, Γ0 = limω0→0 ω0g0, where g0 is the dimensionless damping constant. But for a medium, the contribution to the refractive index from the free electrons is singular at ω = 0. Thus, using the Maxwell’s field equation, the dielectric constant is given by: ε ( ω ) ≡ n 2 ( ω ) = n02 + i σ εoω …(2) f o Ne 2 m ( τ o − iω ) limit) is to write it in terms of a real normal dielectric constant ( ε = n o 2 ) and a real conductivity (σ). Thus, from Eq. (2), the following equation is derived: n 2 (ω) = ε + i σ εoω …(4) It indicates that the field energy is almost entirely magnetic in nature. It is clear that an electromagnetic wave propagating through a good coal block has markedly different properties to a wave propagating through a conventional dielectric. For a wave propagating in the x-direction, the amplitudes of the electric and magnetic fields attenuate following the x expression, exp − ; d where, d = 2 µ o σω …(5) and is called the skin depth. These Eqs (4) and (5) and parameters govern the RF wave propagation through rock and coal strata. These parameters also vary from place to place depending upon the geographical region, geological formation, properties of strata and local conditions. Therefore, these parameters must be evaluated properly in a particular region for designing effective wireless communication system to be applied in underground mines. 3 Laboratory experiment 3.1 Experimental procedure A comparison of this term with Eq. (1) yields the following expression for the conductivity: σ= 419 …(3) Thus, at low frequencies conductors possess predominately real part of conductivity. However, at higher frequencies the conductivity becomes complex. At these frequencies, there is little meaningful distinction in coal barriers, since the conductivity contribution to ε(ω) appears as resonant amplitude just like the other contributions. The conventional way to represent the complex refractive index of a conducting medium (in the low frequency The laboratory set-up to find the field strength of radio waves passing through a coal block is shown in Fig. 1. Different radio frequency signals of fixed amplitude were generated by standard RF generator and fed to the matched directional transmitting loop antenna. The high ‘Q’ matched directional antennae of different RF waves were designed in the laboratory. The strength of input RF signals fed to the antennae at different frequencies is depicted in Fig. 2. The transmitting RF signals were passed through the smoothen side of a coal block (having dimension of 1 × 1 × 0.7 m3) placed about 15 cm away from the transmitting antenna and the field attenuated waves were received by a compatible receiving antenna placed at the same distance as transmitting antenna, i.e. at around 15 cm from another side of the coal INDIAN J RADIO & SPACE PHYS, OCTOBER 2007 420 Fig. 1 — Experimental set-up of radio frequency signal propagation Fig. 2 — Strength of Input RF signals at different frequencies block. The gain of antennae and the attenuation of the RF waves through coal block at different frequencies are shown in Figs 3 and 4, respectively. It is evident from Fig. 3 that the gain of the antenna is high at around 6 MHz. The amplitude of attenuated RF signals and field strength of the attenuated waves were measured by Digital Oscilloscope (Make: Gould Electronics, Model: 1425M) and Spectrum Analyzer (Make: Anritsu, Model: MS2661C), respectively. The values of attenuation of RF signal with respect to the variation in transmitting frequencies were recorded. The same experiment was repeated for another coal block having dimension of 1 × 1 × 0.5 m3. Fig. 3 — Gain of the loop antenna at different frequencies 3.2 Analysis of propagation signals From the experimental data a graph was prepared showing the value of output RF signal strength with respect to the frequency variation for the two Fig. 4 — Attenuation of RF signals through coal block at different frequencies BANDYOPADHYAY et al.: CHARACTERISTICS OF RADIO FREQUENCY PROPAGATION IN COALMINE different coal blocks (Fig. 5). The graph represents a polynomial function. Thus, the following methodology was adopted to evaluate the best suitable frequency, which generates maximum signal strength while passing through the coal blocks. Let f(x) = ax3 + bx2 + cx + d, be a polynomial function, which rightly fits into the experimental data of change in signal strength (dB µV) with respect to variation of radio frequencies (MHz). The negative sign of f (x) indicates the loss in signal strength and the positive sign indicates the amplification in the signal transmitted through the coal blocks. The suitable frequency for getting optimized signal may be mathematically estimated using the maxima and minima method as explained below. The solutions of the equation f´(x) = 3ax2 + 2bx + c = 0 are x1 = −b + b 2 − 3ac 3a −b − b 2 − 3ac 3a …(6) 421 For coal block-1: y = 0.016 x3 − 0.445 x2 + 3.1165 x − 4.4234 …(9) For coal block-2: y = 0.0242 x3 − 0.6391 x2 + 4.448 x − 7.1401 …(10) If we put the coefficients of Eqs (9) and (10) in Eq. (8), we get the value of x as 6.12 and 5.93 MHz, respectively. The average of these two values is 6.025 MHz. Thus, it may be concluded that the best suitable frequency for getting maximum signal strength through coal blocks is around 6 MHz. It is also evident from Fig. 5 that the signal strength is maximum at around 6 MHz. Now if the coefficients of Eqs (9) and (10) are put to Eq. (6) to get the frequency for minimum signal strength, one can get it as 14.85 MHz and 17.25 MHz, respectively, for both the coal blocks. The average of these two values is 16.055 MHz. The result of laboratory experiments also indicates that the field strength is lowest at around 16 MHz (Fig. 5). Based on the statistical analysis of data using Statistica Software (SPSS15.0), it was found that the graph as shown in Fig. 5 was best fitted with the following polynomial equations: 4 Results and discussion The experiment was carried out in the frequency range 100 kHz-20 MHz. Fascinatingly it was found that there was appreciable high signal strength in the frequency range 1 MHz-11 MHz. The frequency level, at which the absorption is critically low, the signal strength decreases with increase in frequency due to respective low gain of antennae and high attenuation of RF waves (Figs 3 and 4). It was also observed that there was a significant loss of signal strength after the frequency level of 11 MHz. It seems that the graph of signal strength with increasing frequency value forms a periodic or cyclic function as shown in Fig. 6. Focusing the objective of the present study, the exact frequency level where the signal Fig. 5 — Plot of output RF signal strength versus transmitting frequency Fig. 6 — Radio wave travelling in a given direction and x2 = …(7) Now, f′′ (x1) = 2√b2 − 3ac > 0, i.e. f(x) is minimum at x = x1 and f′′ (x2) = − 2√b2 – 3ac < 0, i.e. f(x) is maximum at x = x2 Therefore, the recommended frequency for both transmitting and receiving, the maximum signal passing through the coal barrier using transceiver is x = (− b − √b2 − 3ac)/3a MHz …(8) 422 INDIAN J RADIO & SPACE PHYS, OCTOBER 2007 strength gets high in the cycle falls within the frequency range of 1-11 MHz. Based on the mathematical analysis it was found to be 6 MHz. 5 Conclusions Propagation of electromagnetic wave through strata is a complex phenomenon. The same can be analyzed using modelling technique and experimental studies. Based on the experimental results it was found that 6 MHz frequency is the best suitable frequency for generating maximun signal strength while transmitting through coal strata. Therefore, the wireless communication system, which will be developed for communication through coal strata, should be designed at 6 MHz frequency. The polarization in coal molecules at this particular frequency may be one of the reasons for amplified signal strength. Therefore, a deliberative study on polarization mechanism of coal molecules with varying frequency is warranted to establish the relationship between the signal strength and polarization in coal molecules. Acknowledgements The authors are thankful to the Director, Central Institute of Mining and Fuel Research, Dhanbad, for his encouragement and support. They are also grateful to the Department of Information Technology, Ministry of Communication and Information Technology, Government of India, New Delhi for sponsoring the study. 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