Law of Distribution of Quantities of Shells on Togolese Littoral

This study aims at analyzing the repartition of the quantities of shells 
of sand sediments of Togolese littoral, and at determining the law underlying 
their longitudinal and transversal distributions. Samples (210), collected all 
along Togolese littoral starting from Togo-Ghana border up to Togo-Benin border, 
are subject to the test of sieving. Each refusal on sieve is tested against 
construction of shells by hydrochloric acid. The determination of the quantity 
of shells according to their size and to longitudinal and transversal 
distributions on the littoral is completed. As a conclusion, the quantity of 
shells in the sediments is getting lower and lower starting from the aerial 
mid-beach (14.2%) to the mid-foreshore (11.80%), and getting higher and higher 
from the mid-foreshore (11.80%) to the low-foreshore (13.32%). It is getting 
lower and lower according to the direction of sediments’ transportations. This 
quantity of shells is high (40.87%) in the fine-grained sands (Ø Ø > 2 mm) and low (>24.26%) in the average-grained sands (0.125 mm ≤ Ø ≤ 2 mm). The average quantity of shells of 12.67% is lower than the 
recommended maximum quantity (30%) for the sands used for concrete. Thus, for 
the concrete works, the littoral sands might be seen as useful since they are granulating 
for concrete.


Introduction
Most of the works of civil engineering completed in Togo are in concrete which is a composite material mostly made up of granulates, binder and water. The choice of the size of granulates depends on expected results for concrete (desired property). Water-resistant and permeable concrete are, among other things, researched properties for a concrete. One of fundamental parameters which influence the physical aspect of concrete is the cleanness of granulates [1].
Different kinds of sands are used in Togo as granulates. These are sea sands, river sands, sands from rock crashing and continental dunes [2] [3].
In order to meet the demand for sands for construction projects in Lomé and in the littoral areas in Togo, the littoral sands are always used, which contain shells of animal as shellfish (ocypodidae), and mollusks (aplacophores, bivalves, cephalopods and brachiopods) [4].
-Shells that go rotten in the soil at a certain depth after some time: all the shellfishes and cuttlefishes.
The shells are made up of calcium that is decayed by chemical agents, which is detrimental to concretes that may be porous and even weaken their resistances.
The determination of the quantities of sand sediments is sought through the samples collected all along the Togolese littoral over 50 km from the border with Ghana (PK0) up to the border with Benin (PK 50) in view of searching for the distribution of quantities of shells according to longitudinal and transversal profiles and according to their differential distribution. This study will allow assessing how possible it is to use the sea granulates in the constructions.

Material
Collections of samples of sediments are carried out over thirty-five (35) profiles from the border Togo-Ghana up to the border Togo-Benin over a distance of 50 km ( Figure 1 and Table 1). On each of profiles, sediments are taken on the low-foreshore (Bas-E), the mid-foreshore (Mi-E), the high-foreshore (Haut-E) and on the aerial beach at 5 m from high-foreshore (Début-PA), 10 m from high-foreshore (Mi-PA), and at the end of the aerial beach (Fin-PA) as shown on Figure 2. In addition to sand sediments, hydrochloric acid is used for destroying shells.
The determination of quantities of shells is performed in three stages. Stage 1: Search for the relationship between the quantity of shells and the total mass of the sand In submitting the shells to a hydrochloric acid test, chemical reactions arise leading to their destruction. The chemical formula of reactions is given by: Since the sands of littorals consist of shells, the determination of the quantity of shells is carried out through destruction by means of hydrochloric acid. Thus, in order to establish a law between the reduction of the initial mass of sand after reaction (∆m) and the quantity of shells (m c ) having reacted to the hydrochloric acid, samples of masses of 1 g of shells are submitted to destruction tests in the hydrochloric acid. Either the Formula (2), the law between ∆m and m c.  Si CaCO 2HCl CaCl CO H O Si With Si, silica. Supposing also that the sea sediments from Togolese littoral are made up only of silica and shells, and in designating by m s the mass of the silica, the mass m b of the raw sand (before reaction) will be given by: And that of the solution after reaction (m f ) by: The Equations (2), (4) and (5) provide the system of equation (6) The resolution of the system (6) enables to get the mass of shells (m c ) and that of the pure sand (m s ).
Stage 4: Calculation of the quantity of shells Open Journal of Civil Engineering The quantity of shells t cp (in %) on a sieve with mesh φ , locations of samples collection in a transversal way (from Bas-E to Fin-PA) and in a longitudinal way (Profile 1 up to profile 35) is given by the Formula (7).
, 100 The parameters of this formula are defined by:  , c m φ : total mass of the sand of dimension φ submitted to the test.  Figure 3 provide the results of the destruction of shells by hydrochloric acid. Mass of hydrochloric acid ma = 40 g Open Journal of Civil Engineering

Law of Mass Reduction (∆m)
To check the reliability of the developed method, two (2) series of three (3) samples of 2 g, 4 g and 6 g of raw sand of grained-size higher than 1 mm are submitted to two categories of tests: -Test 1: test of destruction of shells by reaction to acid; the pure silica obtained after reaction is washed, dried in steamroom and weighed; given the mass msd: -Test 2: test of manual siftingof shells; the sand taken out of shells by way of siftingis weighed; given the mass m st.
The results of these tests are recorded in Table 3 and Figure 4. Each value corresponds to the average of the two results.
The difference between the proportions of sands, the manual sifting and the destruction by acid would be due: -Either to some possible organic impurities that acid could remove away and that the manual sifting could not allow to do; -Either to losses of particles of grains of sands during the washing.
Considering the low value of the relative error (3.12%), the methodology adopted allows then to have reliable quantities of shells at 96.88%.

Quantities of Shells
From the Equations (6) and (9), the proportion of shell and that of sand are given by the Equation (10).        Table 6. Proportion of shells according to zones of samples collection.
Zones of samples collection Fin-PA (1) Haut-E Mi-E Bas-E

Discussion
From this study we can conclude that the content of shells is high ( , 49.62% c t φ = ) in the fine-grained sands (mesh 0.125 mm φ < ) implying that some shells from the sands of Togolese littoral are fine-grained or they are fragile. This is for instance the case for the shells of shellfishes and seiches. These shells, under the influence of the sedimentary transportation, break up into fine grains. Also, there exist shells with the grain size higher than 2 mm for a high quantity ( , 40.87% ). This presence of shells of coarse size would be due to the existence of coarse-grained shells or not fragile and that practically don't undergo any break during their transportation. This is for instance the case for shells of the arca senelis and the oliva flammulata. Their high quantity of shells in the fine sands ( 0.125 mm φ < ) and coarse-grained sands ( 2 mm φ > ) is due to the scarcity of the grains of sand lower than 0.125 mm and higher than 4 mm in the sea sediments. In fact, the sand sediments of Togolese littoral practically don't contain grains lower than 0.125 mm and higher than 4 mm (respective proportions 0.46% and 0.25%) [12] [13] [14] [15] [16].
The quantity of shells generally declines following the direction of the littoral drift. But the very low coefficient of regression (R 2 < 0.1) implies the genuine absence of link between the quantity of shells and the direction of the sedimentary transportation. This behavior can be explained by the distribution of the life of animals in the sea all along of the guinea gulf that is reflected in the presence of shells of various nature [4].
With the exception of the location Fin-PA, the quantity of shells is lower and lower from the aerial mid-beach (Mi-PA) (t c.t = 14.20%) to the mid-foreshore (Mi-E) (t c.t = 11.80%) and higher and higher from mid-foreshore (Mi-E) (t c.t = 11.80%) to low-foreshore (Bas-E) (t c.t = 13.32%). This quantity is low at the end of aerial beach (Fin-PA) (t c.t = 12.47%). The low quantity on the aerial beach can be due to the presence in the sand sediments of the sands of the dune that mostly contain no shells. As for the presence of shells in the mid-beach. As for the presence of shells in the mid-beach and aerial low, it would probably due to the sweeping of fine elements of sand sediments by the wind exposing then the shells. The high quantity of shells on the low-foreshore is conforming to the transversal differential distribution of sand grains that are average-sized grains (1, 2 and 4 mm) that represent increasing proportions from high-foreshore to low-foreshore [12]. This behavior would be caused by their transportation by carriage owing to the significant energy of waves that deposit them on the low-foreshore that represent the end of the breaking zone where waves break and lose a great part of their energy. Thus, the transportation capability of coarse particles (sands and shells) toward the mid-foreshore gets reduced.
The average quantity of shells provided by the average of the quantities of 210 samples accounts for 12.67% for a maximal quantity of 20.18% and a minimal quantity of 7.18% ( Table 7). The typical gap is 12.67%. These quantities of sand shells are lower than the recommended 30% by the standard NF EN 933-7 [17] and N EN 12620 [1].

Conclusion
This study showed that the quantity of shells in the sea sediments of the Togolese littoral gets lower and lower from the aerial mid-beach to mid-foreshore, and gets higher and higher from the mid-foreshore to the low-foreshore. The quantity of shells is generally high in the fine-grained sands and in the coarse-grained sands, and low in the average-sized sands. The quantity of shells of 12.67% is lower than the recommended maximal quantity (30%) for sands used in concrete. For concrete works, the sands from littorals contain quantities of shells that are not detrimental (quantity lower than 30%) to their usage as granulate for concrete.