Research Article | | Peer-Reviewed

Study of Short-circuit Faults Affecting Electrical Networks

Received: 24 November 2025     Accepted: 5 December 2025     Published: 30 December 2025
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Abstract

Most faults in power lines are caused by short circuits resulting from phenomena such as lightning, severe weather, or power surges linked to circuit breaker operations. These short circuits, whether temporary or permanent, require accurate detection and location to enable rapid repair and restoration of power supply. To protect the system against short-circuit currents, which can cause irreversible damage to key equipment, it is essential to quickly disconnect the faulty part of the network. In order to correctly size this equipment, it is essential to estimate the magnitude of the currents likely to flow during a short circuit. This study involved calculating single-phase short-circuit currents in the event of a fault on the Cable, Soluxe, Airoport, Talladje, and Gawaye feeders at the Niamey3 electrical substation. The method used to calculate short-circuit currents in HTB and HTA networks is based on the principle of symmetrical components. This method was chosen for its accuracy and analytical nature. The results obtained show that the Soluxe feeder has the highest short-circuit current, with a value of 1.95 kA, compared to those of the Cable, Airoport, Talladje, and Gawaye feeders, which are 1.86 kA, 0.67 kA, 0.64 kA, and 0.56 kA, respectively. This is explained by the fact that the calculated impedances (direct, inverse, and zero-sequence) of this feeder are lower than those of the other four feeders.

Published in International Journal of Energy and Power Engineering (Volume 14, Issue 6)
DOI 10.11648/j.ijepe.20251406.11
Page(s) 142-150
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2025. Published by Science Publishing Group

Keywords

1. Introduction
It is well known that an electrical network can be considered as a huge electricity transmission network connecting part of a country or the entire country . In addition, such a network can also connect several countries. The electrical network is composed of numerous electrical devices such as generators, transformers, transmission lines, relays, and circuit breakers .
Electrical installations almost always require protection against short circuits wherever there is an electrical discontinuity. This most often corresponds to points where there is a change in conductor cross-section. The short-circuit current must be calculated at each level of the installation in order to determine the characteristics of the equipment required to withstand or interrupt the fault current .
A short circuit is a transient electromagnetic condition during which the impedance of the system decreases, causing a considerable increase in currents in the branches and a decrease in voltages in the various parts of the network, especially at the point where the short circuit occurred .
The objective of this work is to determine the single-phase short-circuit currents in the event of a fault on the Cable, Soluxe, Aéroport, Talladje, and Gawaye feeders.
2. Study Methodology
2.1. Parameters that Influence the Short-circuit Current Value
The intensity of the short-circuit current is an important characteristic, as it determines the severity of the stress applied to the network and the faulty equipment. The value of the short-circuit current intensity at a point in a network depends on:
1) the nature of the elements that make up the network: alternator, transformer, lines, cables;
2) the topological structure of the network (radial, looped, meshed);
3) the operating mode of the network: isolated neutral or grounded neutral;
4) the resistance of the fault;
5) the type of fault: three-phase, two-phase, or single-phase .
2.2. Determination of Various Short-circuit Impedances
Determining the impedances of the network allows the short-circuit currents affecting it to be calculated. To do this, all the characteristics of the network must be known. The principle of this method consists of determining the short-circuit currents based on the impedance represented by the “circuit” through which the short-circuit current flows. This impedance is calculated after separately totaling the various resistances and reactances of the fault loop, from and including the circuit's power source to the point in question.
2.2.1. Upstream Network Impedance
In most calculations, the impedance of the upstream network does not extend beyond the energy delivery point. Knowledge of the upstream network is therefore generally limited to the information provided by the distributor, namely only the short-circuit power SCC (in MVA). It is calculated using formula (1).
Za=Un2Scc)(1)
The zero impedance is given by formula (2).
Z0̲=3Za̲(2)
2.2.2. Internal Impedance of the Transformer
It is determined based on the short-circuit voltage in % (Ucc %), the no-load voltage of the transformer (Un), and the apparent power of the latter (Sn). It is given by equation (3).
ZT=UCC100×Un2Sn(3)
The internal impedance ZT of transformers can be equated to the reactance XT (4)
ZT=XT(4)
For a transformer:
Zd=Zi=Xd=Xi(5)
The zero-sequence reactance X0 of the transformer generally depends on the possibilities for looping back earth fault currents.
2.2.3. Line Impedance
The impedance of a line depends on its resistance and reactance and is given by expression (6):
Z̲=Rl+jXl(6)
With
Rl is the total resistance of the line, calculated using formula (7)
Rl=ρ×lS(7)
S = Conductor cross-sectional area (mm²)
ρ = Conductor resistivity (Ωmm²/m)
l: Line length (km)
Table 1 shows some resistivity values for materials used in the electrical network.
Table 1. Some resistivity values for materials.

Nature

Almelec

Copper

Aluminum

ρ(Ωmm2/m)

0,033

0,018

0,030

Xl Total line reactance, given by the formula The total reactance of a line of length l is given by equation (8):
Xl=x×l(8)
x: linear reactance
x=L×w=0,144logDmoyR+0,016μ(9)
Where:
x: the line reactance, expressed in Ω/km;
R: radius of a phase conductor;
D_avg: average geometric distance between the three phases of the line;
μ: relative permeability of the conductive material: μ=1 for aluminum, copper, and Almelec, and μ≫1 for steel.
For the line, there is equality between the forward and reverse impedance, and the zero-sequence impedance is given by equation (10).
Zd̲=Zi̲=Zl̲ (10)
Z0̲=(Rl+0,15)+j3Xl(11)
2.2.4. Generator Impedance
For rotating machines, impedance orders of magnitude are indicated as percentages. Generator impedance (ZG) is calculated using formula (12).
ZG=za100×Un2Sn(12)
The zero impedance of a generator is given by formula (13):
Z̲0=0,5Z̲G(13)
2.3. Relationship Between Impedances and Voltages
All impedances must be calculated by relating them to the voltage at the fault point. Thus, the impedance of an EHV line must be multiplied by the square of the inverse of the transformation ratio (14) to calculate a fault on the HV side of the transformer.
ZHTA=ZHTB×UHTAUHTB2(14)
2.4. Case Study
Consider the electrical circuit shown in Figure 1, which consists of the Birnin Kebbi line, the Gorou Banda power plant, the Gorou Banda substation, the solar power plant lines, the Niamey 2 and Niamey 3 substations, and five feeders from the Niamey 3 substation.
Figure 1. Electrical diagram to be studied.
The values of linear reactance for overhead and underground lines are considered to be 0.4 Ω/km and 0.1 Ω/km, respectively.
The task is to calculate the single-phase short-circuit currents in the event of a fault on the Cable, Soluxe, Airoport, Talladje, and Gawaye feeders.
2.4.1. Assumptions
The assumptions made to simplify the calculation of short-circuit currents are:
1) The electrical networks are symmetrical.
2) The line capacities are negligible.
3) Only the established sinusoidal regime is considered.
4) it is assumed that there is no power transfer before the fault (no-load network)
5) the impedances of protective devices and busbars are neglected.
6) the impedances of neutral point coils (BPN) are neglected except for that of the Niamey 2 substation.
2.4.2. Data Used
These data include certain characteristics of the elements of the network under consideration that are essential to our study. Tables 2 and 3 present the main characteristics of the elements of the upstream network of the Niamey 3 substation.

Power (MVA)

Voltage (kV)

Voltage Ucc (%)

Coupling

Upstream network seen from Dosso (BK)

400

132

Niamey 2 transformer (T1 and T2)

40

132/20

9,02

YNd11

Gorou Banda group (GB)

26,45

11

GB central transformer (Tc)

53

11/132

13

YNd11

GB substation transformer (Tp)

63

132/66

11,2

YNyn0

GB20 substation transformer (Ts)

30

66/20

6

YNd11

1) The upstream network power seen from Dosso is the short-circuit power Scc.
2) The Gorou Banda power plant units are synchronous machines with salient poles.
Table 3. Some characteristics of the network lines.

Voltage (kV)

Lengh (km)

Section/phase (mm²)

Network Type

Nature of the conductor

Dosso-Niamey2 line (Ldn)

132

132

242

Aerial

Almelec

Niamey 2- Niamey 3 line (L23)

20

0,32

2×630

Underground

Aluminum

Centrale - Gorou Banda station line (Lcp)

132

1

2×291

Aerial

Almelec

Gorou Banda station -Niamey 2 line (Lpn)

132

10

2×291

Aerial

Almelec

Solar power line - station (Lcs)

20

1

2×630

Underground

Aluminum

Table 4 shows the characteristics of the neutral point coil at the Niamey 2 substation.
Table 4. Characteristics of the neutral point coil at the Niamey 2 substation.

Z0

Un (kV)

BPNNy2

26,5

20

Table 5. Data on different departures from Niamey 3.

HTA departures

SECTION (mm²)

Length (km)

Type of conductor

Câble

Underground

240

7,287

Aluminum

Soluxe

Underground

240

6,502

Aluminum

Aéroport

Overhead

75,5

7,730

Almelec

54,6

4,059

Almelec

54,6

0,296

Copper

Underground

240

3,552

Aluminum

150

0,049

Aluminum

Talladje

Overhead

75,5

11,616

Almelec

54,6

8,292

Almelec

240

4,544

Aluminum

Gawaye

Underground

Overhead

75,5

4,273

Almelec

54,6

2,623

Almelec

Underground

240

7,804

Aluminum

150

0,067

Aluminum

2.5. Determination of the Equivalent Impedances of the Various Branches
Determining equivalent impedances involves adding up all the impedances in the electrical network under consideration. The equivalent of two impedances in parallel is given by the ratio of their product to their sum. The equivalent of two impedances in series corresponds to their direct sum. Figure 3 shows the diagram of the network under study, where each element is represented by its impedance.
Figure 2. Diagram of the electrical network.
The equivalent impedance diagram of the upstream network of the outlets is shown in Figure 3.
Figure 3. Diagram of equivalent impedance.
2.5.1. Determination of Equivalent Forward and Reverse Impedances of Feeders in the Event of a Fault
The equivalent impedance of a feeder in the event of a short circuit is obtained by adding the equivalent impedance of the network and the impedance specific to the feeder concerned.
Zd̲=Zi̲=Zdequi̲+ZX̲ (15)
Who: Zd is equivalent forward impedance, Zi is reverse impedance, Zdequi is equivalent impedance of the network Zx is impedance specific to the feeder concerned,
Fault on the Cable feeder
Figure 4 illustrates the fault on the Cable feeder.
Figure 4. Fault on departure from Cable.
The direct and inverse equivalent impedance in the event of a short circuit on the cable outlet are given by formula (16):
Zd̲=Zi̲=Zdequi̲+Zcable̲(16)
2.5.2. Determination of Equivalent Zero-sequence Impedances of Power Lines in the Event of a Fault
Since the secondary windings of the transformers at the Niamey 2 substation are connected in a delta configuration, the homopolar currents are blocked at their level. As a result, the upstream network does not detect these currents. Figure 5 shows the diagram of the network's homopolar circuit.
Figure 5. Diagram of the homopolar circuit of the network.
The equivalent zero-voltage impedance in the event of a short circuit on the feeder is shown in formula (17):
Z0̲=Z0equi̲+Z0X̲ (17)
Who Z0X is equivalent zero-voltage impedance in the event of a short circuit on the feeder concerned.
3. Results and Analysis
3.1. Calculation of Network Element Impedances
Formulas (8), (10), (13), and (19) are used to calculate the impedances of the upstream network, transformers, lines, and groups, respectively. The results of these calculations are presented in Tables 6 and 7 for the different feeders.
Table 6. Impedances of network components.

Network components

R(Ω)

X(Ω)

Z̲(Ω)

Upstream network (BK)

0

9,59

j9,59

Dosso-Ny2 line (Ldn)

18

52,8

18+j52,8

Niamey2 transformer (T2)

0

39,29

j39,29

Niamey2-Niamey3 line (L23)

0,0075

0,016

0,0075+j0,016

Gorou Banda group (G)

0

5,49

j5,49

Gorou Banda central transformer (Tc)

0

0,296

j0,296

Central- Gorou Banda substation line (Lcp)

0,11

0,4

0,11+j0,4

Gorou Banda substation transformer (Tp)

0

31

j31

Gorou Banda -Niamey2 line (Lgn)

0.57

4

0.57+j4

Solar central line – Gorou Banda substation (Lcs)

0,05

0,1

0,05+j0,1

Gorou Banda 20 transformer (Tcs)

0

8,71

j8,71

Table 7. Impedances of the branches.

Departures

R(Ω)

X(Ω)

Z̲(Ω)

Cable

0,98

0,78

0,98+j0,78

Soluxe

0,81

0,65

0,81+j0,65

Airport

6,38

5,2

6,38+j5,2

Gawaye

4,47

3,55

4,47+j3,55

Talladje

10,65

8,42

10,65+j8,42

3.2. Impedances Reduced to the Fault Point
The fault point is located at a voltage of 20 kV. All impedances expressed at a different voltage will be converted to this value using formula (21). The results of the calculations are presented in Table 8.
Table 8. Impedances converted to the fault point.

Network components

R(Ω)

X(Ω)

Z̲(Ω)

Upstream network (BK)

0

0,22

j0,22

Dosso-Niamey2 line (Ldn)

0,41

1,21

0,41+j1,21

Niamey2 transformer (T2)

0

0,9

j0,9

Niamey2-Niamey3 line (L23)

0,0075

0,016

0,0075+j0,016

Gorou Banda group (G)

0

18,15

j18,15

Gorou Banda central transformer (Tc)

0

0,98

j0,98

Central-Gorou Banda substation line (Lcp)

0,0026

0,0092

0,0026+j0,0092

Gorou Banda substation transformer (Tp)

0

0,71

j0,71

Gorou Banda-Ny2 line (Lgn)

0,13

0,92

0,13+j0,92

Solar central line – GD substation (Lcs)

0,05

0,1

0,05+j0,1

Gorou Banda 20 transformer (Tcs)

0

j0,8

j0,8

3.3. Calculation of Direct and Inverse Impedances
Since the faults are far from the generators, the forward and reverse impedances are identical. The corresponding results are shown in Tables 7 and 8.
3.4. Calculation of Homopolar Impedances
The homopolar impedances are given in Tables 9 and 10 for the feeders. The impedances are derived using equations (2), (4), (11) and Table 1.
Table 9. Homopolar impedances of the upstream fault network.

Network components

R(Ω)

X(Ω)

Z̲(Ω)

Upstream network (BK)

0

2,4

j2,4

Dosso-Ny2 line (Ldn)

1,23

3,63

1,23+j3,63

Ny2 transformer (T2)

0

0,9

j0,9

Ny2-Ny3 line (L23)

0,16

0,05

0,16+j0,05

Gorou Banda group (G)

0

1,125

j1,125

Gorou Banda central transformer (Tc)

0

0,98

j0,98

Central- Gorou Banda substation line (Lcp)

0,15

0,003

0,15+j0,003

Gorou Banda substation transformer (Tp)

0

0,71

j0,71

Gorou Banda -Ny2 line (Lgn)

0,075

0,276

0,075+j0,276

Solar central line – Gorou Banda substation (Lcs)

0,2

0,3

0,2+j0,3

Gorou Banda 20 transformer (Tcs)

0

j0,8

j0,8

Table 10. Homopolar impedances of the branches.

Departures

R(Ω)

X(Ω)

Z̲(Ω)

Cable

2,94

2,34

2,94+j2,34

Soluxe

2,43

1,95

2,43+j1,95

Airport

19,14

15,6

19,14+j15,6

Gaweye

13,41

10,65

13,41+j10,65

Talladje

31,95

25,26

31,95+j25,26

The results of the direct and inverse equivalent impedance calculations are shown in Table 11.
Table 11. Results of direct and inverse equivalent impedance calculations.

Equivalent impedances

Cable

Soluxe

Airport

Talladje

Gawaye

Zd̲=Zi̲ (Ω)

1,24 + j1,98

1,07+j1,85

6,64+j6,4

10,91+j9,62

4,73+j4,75

The results of the calculation of the equivalent zero-voltage impedances are presented in Table 12.
Table 12. Results of the calculation of the equivalent zero-voltage impedances.

Equivalent impedances

Cable

Soluxe

Airport

Talladje

Gawaye

Z0̲ (Ω)

3,32+j13,76

2,81+j13,32

19,52+j27,02

13,79+j22,07

32,33+j36,68

3.5. Calculation of Single-phase Short-circuit Current
The results of the calculations for single-phase short-circuit currents in the event of a fault on the various feeders are presented in Table 13.
Table 13. Calculation results for single-phase short-circuit currents in the event of a fault.

Short-circuit currents

Cable

Soluxe

Airport

Talladje

Gawaye

ICC1(kA)

1,86

1,95

0,67

0,64

0,56

This table shows that the Soluxe feeder has the highest short-circuit current among the five feeders. This is because the impedances (direct, inverse, and zero-sequence) of this feeder are lower than those of the other four feeders. We can therefore conclude that impedances have a significant influence on short-circuit current: the lower the impedances, the higher the short-circuit current.
4. Conclusion
This work made it possible to calculate the single-phase short-circuit currents on the five feeders of Niamey 3. To do this, the impedances of all the components of the network were first determined. The results obtained made it possible to observe the influence of impedances on these currents.
Abbreviations

Ω

Ohm

A

Ampere

B K

Birnin Kebbi

GB

Gorou Banda

Ny2

Niamey 2

Ny3

Niamey 3

R

Resistor

X

Reactance

Z

Impedance

Zequi

Equivalent Impedance

Conflicts of Interest
The authors declare that they have no conflicts of interest.
References
[1] Loiy Rashed Almobasher, Ibrahim Omar A Habiballah, Review of Power System Faults, International Journal of Engineering Research & Technology, 9, 61-64 (2020).
[2] Neha Kumari, "Power System Faults: A Review," International Journal of Engineering Research & Technology (IJERT), 2016.
[3] B. de Metz-Noblat, F. Dumas, C. Poulain, « Calculation of short-circuit currents », Cahier technique no. 158, updated September 2005.
[4] BELBEY Mourad “Study and calculation of symmetrical and permanent three-phase short-circuit currents,” final thesis, Mouloud Mammeri University of Tizi-Ouzou, 2013/2014.
[5] Bedel Giscard Onana Essama1 and al. “Electrical Network Influenced by overload, broken phase and short-circuit” ISAR Journal of Science and Technology, Vol-1, Iss-1 (Nov- 2023): 12-20.
[6] Liu, L.; Li, X.; Teng, Y.; Luo, Y.; Chen, K. Improved Commutation Failure Prevention Control for Inter- Phase Short-Circuit Faults. Appl. Sci. 2025, 15, 9972.
Cite This Article
  • APA Style

    Soumaïla, N. T., Nassirou, A. H. M., Moustapha, A. K. M., Moussa, I. I., Seibou, B. (2025). Study of Short-circuit Faults Affecting Electrical Networks. International Journal of Energy and Power Engineering, 14(6), 142-150. https://doi.org/10.11648/j.ijepe.20251406.11

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    ACS Style

    Soumaïla, N. T.; Nassirou, A. H. M.; Moustapha, A. K. M.; Moussa, I. I.; Seibou, B. Study of Short-circuit Faults Affecting Electrical Networks. Int. J. Energy Power Eng. 2025, 14(6), 142-150. doi: 10.11648/j.ijepe.20251406.11

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    AMA Style

    Soumaïla NT, Nassirou AHM, Moustapha AKM, Moussa II, Seibou B. Study of Short-circuit Faults Affecting Electrical Networks. Int J Energy Power Eng. 2025;14(6):142-150. doi: 10.11648/j.ijepe.20251406.11

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  • @article{10.11648/j.ijepe.20251406.11,
      author = {Noma Talibi Soumaïla and Abdou Hamidine Mamane Nassirou and Attoumane Kosso Mamadou Moustapha and Insa Issoufou Moussa and Boureima Seibou},
      title = {Study of Short-circuit Faults Affecting Electrical Networks},
      journal = {International Journal of Energy and Power Engineering},
      volume = {14},
      number = {6},
      pages = {142-150},
      doi = {10.11648/j.ijepe.20251406.11},
      url = {https://doi.org/10.11648/j.ijepe.20251406.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijepe.20251406.11},
      abstract = {Most faults in power lines are caused by short circuits resulting from phenomena such as lightning, severe weather, or power surges linked to circuit breaker operations. These short circuits, whether temporary or permanent, require accurate detection and location to enable rapid repair and restoration of power supply.  To protect the system against short-circuit currents, which can cause irreversible damage to key equipment, it is essential to quickly disconnect the faulty part of the network. In order to correctly size this equipment, it is essential to estimate the magnitude of the currents likely to flow during a short circuit. This study involved calculating single-phase short-circuit currents in the event of a fault on the Cable, Soluxe, Airoport, Talladje, and Gawaye feeders at the Niamey3 electrical substation. The method used to calculate short-circuit currents in HTB and HTA networks is based on the principle of symmetrical components. This method was chosen for its accuracy and analytical nature. The results obtained show that the Soluxe feeder has the highest short-circuit current, with a value of 1.95 kA, compared to those of the Cable, Airoport, Talladje, and Gawaye feeders, which are 1.86 kA, 0.67 kA, 0.64 kA, and 0.56 kA, respectively. This is explained by the fact that the calculated impedances (direct, inverse, and zero-sequence) of this feeder are lower than those of the other four feeders.},
     year = {2025}
    }
    

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  • TY  - JOUR
    T1  - Study of Short-circuit Faults Affecting Electrical Networks
    AU  - Noma Talibi Soumaïla
    AU  - Abdou Hamidine Mamane Nassirou
    AU  - Attoumane Kosso Mamadou Moustapha
    AU  - Insa Issoufou Moussa
    AU  - Boureima Seibou
    Y1  - 2025/12/30
    PY  - 2025
    N1  - https://doi.org/10.11648/j.ijepe.20251406.11
    DO  - 10.11648/j.ijepe.20251406.11
    T2  - International Journal of Energy and Power Engineering
    JF  - International Journal of Energy and Power Engineering
    JO  - International Journal of Energy and Power Engineering
    SP  - 142
    EP  - 150
    PB  - Science Publishing Group
    SN  - 2326-960X
    UR  - https://doi.org/10.11648/j.ijepe.20251406.11
    AB  - Most faults in power lines are caused by short circuits resulting from phenomena such as lightning, severe weather, or power surges linked to circuit breaker operations. These short circuits, whether temporary or permanent, require accurate detection and location to enable rapid repair and restoration of power supply.  To protect the system against short-circuit currents, which can cause irreversible damage to key equipment, it is essential to quickly disconnect the faulty part of the network. In order to correctly size this equipment, it is essential to estimate the magnitude of the currents likely to flow during a short circuit. This study involved calculating single-phase short-circuit currents in the event of a fault on the Cable, Soluxe, Airoport, Talladje, and Gawaye feeders at the Niamey3 electrical substation. The method used to calculate short-circuit currents in HTB and HTA networks is based on the principle of symmetrical components. This method was chosen for its accuracy and analytical nature. The results obtained show that the Soluxe feeder has the highest short-circuit current, with a value of 1.95 kA, compared to those of the Cable, Airoport, Talladje, and Gawaye feeders, which are 1.86 kA, 0.67 kA, 0.64 kA, and 0.56 kA, respectively. This is explained by the fact that the calculated impedances (direct, inverse, and zero-sequence) of this feeder are lower than those of the other four feeders.
    VL  - 14
    IS  - 6
    ER  - 

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Author Information
  • Department of Physics, Abdou Moumouni University of Niamey, Niamey, Niger

  • Department of Electrical Engineering, School of Mining Industry and Geology, Niamey, Niger

  • Department of Electrical Engineering, School of Mining Industry and Geology, Niamey, Niger

  • Department of Electrical Engineering, School of Mining Industry and Geology, Niamey, Niger

  • Department of Electrical Engineering, School of Mining Industry and Geology, Niamey, Niger

  • Abstract
  • Keywords
  • Document Sections

    1. 1. Introduction
    2. 2. Study Methodology
    3. 3. Results and Analysis
    4. 4. Conclusion
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  • Abbreviations
  • Conflicts of Interest
  • References
  • Cite This Article
  • Author Information