EFFICIENCY OF DIFFERENT MODELS FOR ESTIMATING HYDRAULIC CONDUCTIVITY USING PRESSURE PLATE APPARATUS IN SOILS OF COASTAL PLAIN SANDS AT OBORO CLAN IKWUANO LGA, ABIA STATE.

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ABSTRACT

A study was carried out to determine the efficiency of different models for estimating hydraulic conductivity in soils of coastal plain sands of Oboro clan – Ikwuano Local Government area in Abia State. Representative undisturbed soil samples were collected from 8 communities and their properties determined using standard laboratory methods and experimental models. Five different models were used to estimate the saturated hydraulic conductivity (Ks) of the soils of the study area, these models were Hazen, Relative Effective Porosity Model (REPM), Slitcher, Terzaghi and Kozeny-Carman Models.  Soil properties determined include depth, aggregate sizes, bulk density and porosity. The predicted and observed soil properties were compared using multiple linear regression test. Further evaluation of the accuracy of prediction on the models used in comparison with the laboratory Ks values were carried out with absolute mean percentage error. Generally, the results showed that the soils are of Sandy Basic soil type. There was a significant positive correlation (P<0.001) between bulk density and porosity. The hydraulic conductivity maximum and minimum values of Kozeny-Carman, Hazen, Slitcher, Terzaghi and Relative Effective Porosity Model (REPM) were 67.68m/day and 0.86m/day, 18.72m/day and 0.86m/day, 9.50m/day and 0.29m/day, 68.25m/day and 1.15m/day, 191.52m/day and 2.59m/day respectively. The result indicated that the hydraulic conductivities calculated by Slitcher models is in all cases lower than that from the other models as well as from pressure plate apparatus test result. Saturated hydraulic conductivity estimated using REPM gave the highest Ks value of 191.52m/day. This study therefore concluded that the best overall estimation of Ks is reached based on relative effective porosity model followed by Terzaghi and then Kozeny-Carman models. The research recommended that Relative Effective Porosity Model (REPM) as the best and useful alternative for estimating Ks of soils within the South-Eastern Nigeria.








TABLE OF CONTENTS

 

Title Page                                                                                                                                                                                                        i

Cover page                                                                                                                                                                                                      ii

Declaration                                                                                                                                                                                                     iii

Certification                                                                                                                                                                                                   iv

Dedication                                                                                                                                                                                                       v

Acknowledgements                                                                                                                                                                                        vi

Table of Contents                                                                                                                                                                                           vii

List of Tables                                                                                                                                                                                                  ix

List of Figures                                                                                                                                                                                                 x

Abstract                                                                                                                                                                                                           xi

 

CHAPTER 1: INTRODUCTION

1.1       Background to the Study                                                                    1

1.2       Justification                                                                                        3

1.3       Objectives of the Study                                                                      5

1.3.1    General objective                                                                                5

1.3.2    Specific objectives                                                                             5

 

CHAPTER 2: LITERATURE REVIEW

2.1       Soil Hydraulic Conductivity                                                              6

2.2       Flow in Soil: Macroscopic Flow                                                        10

2.3       Importance of Hydraulic Conductivity                                              13

2.4       Factors Influencing Hydraulic Conductivity                                      14

2.4.1    Topography                                                                                        14

2.4.2    Viscosity                                                                                             16

2.4.3    Permeability                                                                                        17

2.4.4    Soil texture                                                                                         18

2.4.5    Soil structure                                                                                      19

2.4.6    Soil compaction                                                                                  20

2.4.7    Soil organisms                                                                                    20

2.4.8    Bulk density                                                                                        21

2.4.9    Soil water content                                                                               22

2.5       Measurement of hydraulic conductivity                                            23

 

CHAPTER 3: MATERIALS AND METHODS

3.1       Study Area                                                                                          27

3.2       Creation                                                                                              28

3.3       Geography                                                                                          28

3.4       Materials                                                                                             28

3.5       Field Sampling Procedures                                                                 29

3.6.1    Soil preparation                                                                                  30

3.6.2    Ceramic plate preparation                                                                  30

3.6.3    Setting up the nitrogen gas as a pressure source                                30

3.6.4    Removing the samples from the pressure plate apparatus                 31

3.6.5    Oven dry samples                                                                               31

3.7       Experimental determination of hydraulic conductivity                     32

3.8       Models Used in Estimating Hydraulic Conductivity                         32

3.8.1    Kozeny – Carman model                                                                    33

3.8.2    Hazen model                                                                                       33

3.8.3    Slitcher model                                                                                     33 

3.8.4    Terzaghi model                                                                                   34

3.8.5    Relative effective porosity model (REPM) Suleiman and

Ritchie                                                                                                34

3.9       Determination of soil Moisture Content at field Capacity in

Volume Fraction: (cm3 cm3)                                                               34

3.10     Aggregate Size Determination                                                           35

3.10.1  Materials used for aggregate size determination                                35

3.10.2  Procedure                                                                                            35

3.11     Determination of Hydraulic Conductivity with Empirical Models            36

3.12     Statistical Analysis                                                                             36

 

CHAPTER 4: RESULTS AND DISCUSSION

4.1       Bulk Density, Porosity, Field Capacity And Relative Effective

Porosity of Soils of The Different Communities                                      37                4.2       Relationship between bulk density and porosity of the                                           

study location at various depths                                                         38

4.3       Estimated Mean and Standard Deviation of Aggregate Size

Distribution Test                                                                                 45

4.4       Comparative Results of Hydraulic Conductivity of Models

and Pressure Plate Apparatus Test                                                     52

4.5       Comparison based on Absolute Mean Percentage Error

(AMPE) at Various Depths                                                                59

 

CHAPTER 5: CONCLUSION AND RECOMMENDATIONS

5.1       Conclusion                                                                                          61

5.2       Recommendations                                                                              62

REFERENCES                                                                                               67

 

 

 

 

 

LIST OF TABLES

 

 4.1:     Estimated parameter values for the relative effective

porosity model (REPM) depth 0-10cm                                  39

 

4.2:      Estimated parameter values for the relative effective

porosity model (REPM) depth 10-20cm                                40

 

4.3:      Correlation between bulk density and porosity for

depth 0-10cm                                                                          41

 

 4.4:     Correlation between bulk density and porosity for

depth 10-20cm                                                                        42

 

 4.5:     Estimated Mean and Standard Deviation of Grain Size

Distribution Test at depth 0-10cm                                          47

 

 4.6:     Estimated Mean and Standard Deviation of Grain Size

Test at depth 10-20cm                                                            49

 

 4.7      Basic Soil Type Classification                                               51

 

 4.8:     Estimated Mean and Standard Deviation of Hydraulic

 conductivity calculated from the Models at depth 0-10cm            55

 

 4.9:     Estimated Mean and Standard Deviation of Hydraulic

conductivity calculated from the Models at depth 10-20cm   56

 

 

 

 

 

 

 

LIST OF FIGURES

 

 2.1:     The Relationship Between Hydraulic Gradient and Flux (q).             11

2.2:      Comparative results of Hydraulic conductivity of empirical formulae and

              constant head parameter (S1 Soil sample 1, S2 Soil sample 2…..)             12

3.1:      Map of Abia State showing the study area (Ikwuano LGA) and

            Oboro Clan-sample locations                                                             27

4.1:      Relationship between bulk density and porosity for the study

            locations at depth 0-10cm.                                                                 43

4.2:      Relationship between bulk density and porosity for the study

            locations at depth 10-20cm.                                                               44

4.3:       Aggregate Size Distribution curve for Soil Samples at Depth 0-10cm             48

4.4:       Aggregate Size Distribution curve for Soil Samples at Depth 10-20cm             49

4.5:      Hydraulic Conductivities using Various Models at Depth 0-10cm.             57

4.6:      Hydraulic Conductivities using Various Models at Depth 10-20cm. 58

4.7:      Absolute Mean Percentage Error for Models at Various Depths              60

 

 

 

 

 

 

CHAPTER 1

INTRODUCTION


1.1          BACKGROUND TO THE STUDY

The rate of water movement through soil is of considerable importance. The entry of water into soil, the movement of water to plant roots, the flow of water to drains and wells and the evaporation of water from the soil surface are but a few of the obvious situations in which the rate of movement plays an important role. An important soil property involved in the behaviour of soil water flow is the conductivity of the soil to water. Qualitatively, hydraulic conductivity is the ability of the soil to transmit water (Klute, 1965).

Hydraulic conductivity, symbolically represented as k, is a property of vascular plants, soils and rocks, that describes the ease with which a fluid (usually water) can move through pore spaces or fractures in the presence of an applied hydraulic gradient. It depends on the intrinsic permeability of the material, the degree of saturation and on the density and viscosity of the fluid.

Another similar term is permeability, which is defined as the property of the porous medium controlled only by the pore geometry (Richards, 1952). It is the most important physical property of porous medium, which is a measure of the ability of a material to transmit fluid through it (Alabi, 2011). It settlement and stability of roads, foundation building and even crop production (Okagbue, 1995).

Economic consideration associated with field operations and well construction may also be a limiting factor in determining Ks. Alternative methods of estimating hydraulic conductivity from empirical formulae based on grain-size distribution characteristics have been developed and used to overcome these problems (Odong, 2007).

Hydraulic conductivity can vary by more than 10 orders of magnitude from very low values in gravels and boulders. Hydraulic conductivity varies widely even for a given material. The coefficient of variation, defined as the ratio between the standard deviation and the mean, can range from 100 to 800 percent for both natural sediments (Libardi et al, 1980; Warvick and Nielsen, 1980; Cassel, 1983; Albrecht et al, 1985; Duffera et al, 2007) and remolded sediments (Benson, 1993; Benson and Daniel, 1994). Ks may vary over several orders of magnitude within a single soil series or formation. This variability may increase if Ks is determined in laboratory using small-size undisturbed soil cores (Mallants et al, 1997), which is sometimes essential for the studies such as upflux, infiltration and seepage, for individual layers. The properties of natural soils are quite variable. For example, Ks can vary significantly since the structure of pores in soils may be varied as affected by different rates of biological, physical and chemical processes.

The K-value of a soil profile can be highly variable from place to place and also at different depth. K-values can be variable not only in connection with different soil layers, but also within one soil layer.  A vertical variation in a soil can be partly due to layered composition of the parent material, but more commonly the results of profile development. Horizontal variations in soil properties are common at any scale, even at less than 1 meter. In some cases the change in colour, salinity, texture, structure at the soil surface is quite sharp, but more generally is gradual (Brain and Krujin, in Ritzema 2006).  

Coastal plain sands usually have only moderate slopes, being more level in the low-lying parts nearer  the coastline and more hilly farther inland, where streams and rivers flowing down the steeper grades have more deeply dissected the landscape.

It was reported that spatial variability of coastal plain sands of southeastern Nigeria originates dominantly from intrinsic factors associated with texture and mineralogy (Obi and Udoh, 2011; Obi et al., 2011). The texture and mineralogy of coastal plain sands bear the imprints of quartz arenite which is not rich in most plant growth nutrients dominantly sandy and coarse texture (Chikezie et al, 2010). Crop production system within the coastal plain sands geomorphic unit of southeastern Nigeria is characterized as rain fed, low input, intensive and extensive with the use of traditional hand held tools (Ibia et al., 2011; Obi and Udoh, 2011).


1.2          JUSTIFICATION    

Soil hydraulic properties such as saturated hydraulic conductivity (Ks) govern many soil hydrological processes, therefore, they are very important and even necessary in water and mass models, irrigation and drainage studies.

Knowledge of hydraulic conductivity is very important in solving environmental problems because it is one of the most important soil physical properties for determining infiltration rate, irrigation requirement and efficiency, computing water conveyance efficiency, design of drainage system and other hydrological processes in the soil system (Gulser and Candemir, 2008).

In general, soil hydraulic conductivity is a major factor in determining the use to which a soil can be put, stability of roads and building foundations, crop production potential, growth of trees, shrubs and grasses are all affected to some degree by the ease or difficulty with which the soil drains.

Over the years many direct methods have been developed for measuring soil hydraulic properties in the field, for example the internal drainage method (Hillel et al., 1972; Libardi et al., 1980), the zero plane flux method (Richards et al., 1956) and the Guelph permeameter method (Reynolds and Elrick, 1985), and in the laboratory, e.g  the hot-air method (Arya et al., 1975) the outflow method (Gardner, 1956) and the constant head method (Klute and Dirksen, 1986).

Direct measurement of soil hydraulic properties including Ks is costly and time-consuming and becomes impractical due to spatial and temporal variabilities when hydrologic predictions are needed for large areas.

In past few decades, as an alternative, indirect approximation of hydraulic properties from some basic and easily measured soil properties (such as clay, sand and silt content, bulk density etc) using pedotransfer functions has received considerable acceptance. Now there is no standard information system on soil hydraulic properties in Oboro clan-Ikwuano L.G.A of Abia State.

In recent years, with improvement of science, many materials about hydraulic conductivity information appeared, but there is no uniform and standard system to implement. Despite the fact that Oboro clan has large and varying amount of land resource, there is still poor management of these properties due to lack of good information, monitoring techniques and predicting models.

                                                                                                            

1.3          OBJECTIVES OF THE STUDY  

1.3.1       General objective

The main objective of the study was to estimate the hydraulic conductivity of soils of coastal plain sands based on undisturbed soil sample using pressure plate apparatus.

1.3.2       Specific objectives

The specific objectives were to:

1.              determine the basic soil types of the study area using a standard British soil classification system.

2.              determine the relationship between the soil bulk density and porosity in the study area.

3.              evaluate and justify the comparative efficiency of different models for estimating hydraulic conductivity of soils of coastal plain sands in the study area.

 

 

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