Physics

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On The Norm of Elementary Operator of Length Two in Tensor Product of C*-Algebras
(journal of mathematics, 2024-05-26) Peter Guchu Muiruri
Considerable research has been done on Norm property of different examples of Elementary operators with significant findings. From available literature not much have been done in determining the norm of elementary operator in tensor product of C*-algebras. The norms of Basic elementary operator, Jordan elementary operator and finite length elementary operator in tensor product of C*-algebras have been determined and results obtained. The main focus of this work is to investigate the norm of the elementary operator of length two in the tensor product of C*-algebras and to expand on our previous discussion on the elementary operator in tensor product of C*-algebras. To reach the goals, methods such as finite rank operator, tensor products of C*-algebras, and other well-known results were applied.
On Browder Spectrum and Quasisimilarity of M-hyponormal Operators in Hilbert Spaces
(Asian Basic and Applied Research Journal, 2024-08-20) Kamau Faith a , Musundi Sammy Wabomba a* and Kinyanjui Jeremiah Ndung’u
The spectrum of operators and quasisimilarity of m-hyponormal operators in Hilbert Spaces has been extensively studied. It has been shown that quasisimilarity of m-hyponormal operators have equal spectrum, equal Essential Spectrum and equal Weyl Spectrum. However, the consideration of equality of the Browder spectrum for m-hyponormal operators together with quasisimilarity has not been fully determined. Therefore, this study aims to consider the quasisimilarity of m hyponormal operators and determine the conditions under which quasisimilarity of m-hyponormal operators yields equal Browder spectrum
Correspondence of Fixed-Point Theorem in 𝑻𝟐, 𝑻𝟑 − 𝑺𝑷𝑨𝑪�
(Asian Research Journal of Mathematic, 2024-09-19) Amos Koros a , Musundi Sammy Wabomba a* and Mark Okongo
Fixed-point theory (FPT) has lot of applications not only in the field of mathematics but also in various other disciplines. Fixed Point Theorem presents that if 𝑇: 𝑋 → 𝑋 is a contraction mapping on a complete metric space (𝑋, 𝑑) then there exists a unique fixed point in 𝑋. FPT is also essential in game theory, in this case Brower Fixed Point has an application in game theory specifically in non-cooperative games and existence of Equilibrium. In particular, a game is a set of actions done by the participants defined by a set of rules. This is commonly described using mathematical concepts, which offers a concrete model to describe a variety of situations. On the other hand, the separation axioms 𝑇𝑖 , 𝑖 = 0,1,2,3,4 are vital properties that describes the topological spaces 𝑇0 , 𝑇1 , 𝑇2, 𝑇3 and 𝑇4 . It is noted that a 𝑇3 − 𝑠𝑝𝑎𝑐𝑒 is a generalized version of 𝑇2-space and since various results on application of fixed point theory in game theory on an arbitrary locally convex 𝑇2 − space has been established, in this study we sort to extend this concept to the general 𝑇3 − 𝑠𝑝𝑎𝑐𝑒. The utilization of a symmetric property of Hausdorff space established that if two continuous commutative mappings are defined on a 𝑇3 − 𝑠𝑝𝑎𝑐𝑒, then the two maps achieves unique fixed points.
Time-Series Prediction of Gamma-Ray Counts Using XGB Algorithm
(Center for Open Access in Science, 2022-07-25) Mutuku, Vincent; Mwema, Joshua; Mutwiri, Joseph
Radioactivity is spontaneous and thus not easy to predict when it will occur. The average number of decay events in a given interval can lead to accurate projection of the activity of a sample. The possibility of predicting the number of events that will occur in a given time using machine learning has been investigated. The prediction performance of the Extreme gradient boosted (XGB) regression algorithm was tested on gamma-ray counts for K-40, Pb-212 and Pb-214 photo peaks. The accuracy of the prediction over a six-minute duration was observed to improve at higher peak energies. The best performance was obtained at 1460keV photopeak energy of K-40 while the least is at 239keV peak energy of Pb-212. This could be attributed to higher number of data points at higher peak energies which are broad for NaITi detector hence the model had more features to learn from. High R-squared values in the order of 0.99 and 0.97 for K-40 and Pb-212 peaks respectively suggest model overfitting which is attributed to the small number of detector channels. Although radioactive events are spontaneous in nature and not easy to predict when they will occur, it has been established that the average number of counts during a given period of time can be modelled using the XGB algorithm. A similar study with a NaITi gamma detector of high channel numbers and modelling with other machine learning algorithms would be important to compare the findings of the current study.
Density functional study of structural and electronic properties of Ca and Mg doped TiO2
(Journal of Environmental Sustainability Advancement Research, 2022) Mbae, J. K.; Muthui, Z. W.
The scarcity of affordable and environment-friendly sources of energy has led to emergence of photocatalysis to mitigate this problem. This is especially so if the photo catalysts are active in as much a wide region of the solar energy spectrum as possible. Environment-friendly, non-toxic and economical photocatalysts would find application in water treatment, providing another solution to the problem of clean water for domestic use. Of many materials available for photocatalysis is Titanium (IV) oxide (TiO2). It possesses many merits such as low cost, high photocatalytic activity, non-toxicity and high availability. However, drawbacks that limit its application include its optical absorption that falls in the ultraviolet part of the electromagnetic spectrum and rapid electron-hole recombination, which limits its photoquantum efficiency. To extend the optical absorption to a wider region of the solar energy spectrum, various dopants have been added to the oxide. In this study, the effect of doping rutile TiO2 with alkaline earth metals Ca and Mg is investigated using the Density Functional Theory (DFT) method as implemented in the Quantum ESPRESSO simulation package, treating the exchange correlation potential with the Generalised Gradient Approximation. The optimized cell parameters for pure rutile crystal system are 𝑎 = 𝑏 = 4.603Å 𝑐 = 2.992Å, with a volume of 63.393 (Å)3 . On doping there is a slight expansion of the crystal structure and its volume slightly increases by 8.753 (Å) 3 and 28.816 (Å) 3 with Mg and Ca doping respectively. The calculated band gap of undoped rutile is 1.8 eV. Mg and Ca doping raises the valence band edge by 0.2 eV in both Ca and Mg doped rutile. Dopant inter band and intra band states are observed that would be useful in mitigating against charge recombination hence enhancing the efficiency of the photocatalysts. Isolated O 2p states are observed in the Projected Density of States (PDOS) of the doped systems which are normally attributed to enhanced optical absorption of photocatalysts in the visible region. Alkaline earth metal doping of TiO2 rutile modifies the structural and electronic properties of rutile TiO2 in a manner that would make it a more efficient photocatalyst. Co-doping with the alkaline metal dopants could be attempted to investigate the combined effect
Stability Analysis of a Sterile Insect Technique Model for Controlling False Codling Moth
(J Math Anal & Model, 2023-06-30) JIMRISE O. OCHWACH a , MARK O. OKONGOa,∗ , MOSES M. MURAYA b
Sterile insect techniques (SIT) are biological, non-polluting pest control methods used on farms. The release of false male codling moths (FCM) is used in this method to reduce the number of fertile female FCM in the farm population. In this study, a mathematical model that simulates the interaction between the susceptible host, the sterile male FCM population, and the wild FCM population is developed. The local and global stability analysis of the model is analysed and found to be asymptotically stable when Ro < 1. A threshold number of sterile FCM is determined above which the FCM control is effective. These theoretical results are reorganised in terms of possible strategies for the control of FCM and are numerically illustrated.
Concentration of Inorganic Contaminants in Shallow Borehole Water in Chuka Sub-County, Kenya
(Journal of Chemical, Biological and Physical Sciences, 2020-11-24) M. Rugendo, Edith; C. Njagi, Eric; Ombaka, Ochieng
Groundwater from shallow aquifers is an important source of portable water in Chuka Sub-County. However, most shallow boreholes in Chuka Sub-County are undocumented and susceptible to contamination by both geogenic and anthropogenic activities. This study was conducted to evaluate the quality of shallow boreholes water in Chuka Sub-County. Samples were collected from twenty boreholes in Chuka Sub County during the dry and wet seasons. The temperature, pH and conductivity were determined in situ using a meter. The concentration of cations was determined using ICP-MS. The concentrations of anions were determined using standard APHA analytical methods. The temperatures and conductivities of borehole waters were within the limits set by KEBS and WHO. The pH of water in most boreholes during the wet season was within the limits set by KEBS and WHO for portable water. However, borehole water at Karandini (T15) was highly acidic (pH of 3.95) during the wet season. During the dry season, borehole waters were slightly acidic (4.42 - 6.44) except for the borehole at Ndagani market (T11), whose water was alkaline (pH = 8.75). The concentrations of trace and toxic cations and anions (NO3 - , SO4 2- , Cl and PO4 3- ) were within the limits set by KEBS and WHO. However, the concentration of nitrate in several boreholes during the dry season was within the range that cause chronic health effects. Groundwater from most boreholes in Chuka Sub-County is generally safe for domestic uses but require regular monitoring for quality.
Massive Protocluster of a Periodic Maser Source G188.95+0.89
(Oxford University Press on behalf of Royal Astronomical Society, 2021-07-14) M. M., Mutie; J. O., Chibueze; K., El Bouchefry; G. C., MacLeod; J., Morgan; P., Baki
We report the results of ongoing monitoring of the 6.7 GHz CH3OH masers associated with G188.95+0.89. In these observations, five features are periodically varying and at least two exhibit evidence of velocity drifts. It is not clear the cause of these velocity drifts. The spectra have varied significantly since detection in 1991. The 11.45 km s−1 feature has decreased exponentially from 2003. Complementary ALMA 1.3-mm continuum and line observational results are also presented. Eight continuum cores (MM1–MM8) were detected in G188.95+0.89. We derived the masses of the detected cores. G188.95+0.89 MM2 was resolved into two continuum cores (separated by 0.1 arcsec) in ALMA band 7 observations. Also, CH3OH (4(2, 2)-3(1, 2)) thermal emission associated with MM2 is double peaked. We propose the presence of multiple (at least binary) young stellar objects in MM2. SiO emission exhibits a bow-shock morphology in MM2 while strong emission of 12CO at the east and west of MM2 suggests the presence of an east–west bipolar outflow.
Thermal Conductivities of Selected Solid Waste Materials Determined Using Lees’ Disc Method
(International Journal of Research Publications (IJRP.ORG), 2020-04-02) Chepkorir, Doreen; Kamweru Kuria, Paul
In this study, the coefficients of thermal conductivities have been determined. The goal was to find out the best insulator among the recyclable and locally available materials which can be adopted for use to replace the existing thermal insulation. Rice husks, dry grass, sawdust and old/used newspapers have been studied in this study using Lees’ disc method. The results showed that grass can do best as an insulating material though all the samples can be used as insulators. They all have low thermal conductivities. The coefficient of thermal conductivities ranged from 𝟎. 𝟐𝟐𝟔 𝑾/𝒎𝑲 for grass, 𝟎. 𝟐𝟕 𝑾/𝒎𝑲 for saw dust, 𝟎. 𝟓𝟎 𝑾/𝒎𝑲 for rice husks and 𝟏. 𝟗𝟑 𝑾/𝒎𝑲 for newspaper cut-outs. Due to their local abundance, and no much competing commercial interest, we recommend the studied materials as suitable thermal insulators.
Calorific Value and Moisture Content Of Selected Solid Wastes at Chuka University
(IJRP.ORG., 2020-04-02) Kanogo Thuo, Daniel; Kamweru Kuria, Paul
Solid waste, which typically consists of metals, plastics, glasses, paper, wood, and organics, is generated and accumulated due to human day to day activities. The waste often leads to ecological pollution unless an appropriate solid waste management system is applied. Remarkably, solid waste can be channeled into a very useful form to generate energy leading to the reduction of the use of fossils fuels which are rapidly becoming limited, reduction of wastes in dumping sites and also be an additional source of energy. For such ventures though, the amount of energy that can be recovered from burning solid waste needs to be determined. In this work, solid waste samples were collected, classified, sundried, powdered and sieved using a sieve of size 500µm. The percentage moisture content of fruits waste, animal dung, and yard trimming & vegetables were found to be 33, 48, and 55 % respectively. The fruits waste had the highest calorific value of 104,130.91J/g, followed by the animal dung with 95,804.13 J/g and the least was yard trimming and vegetables with 95,100.39 J/g. The average specific energy content is 98345.14 J/g.
Correlation Between Electromagnetic Wave Equation And Einstein Theory Of Relativity In Derivation Of Schrödinger Equation And Hilbert Space Operators
(Journal of Multidisciplinary Engineering Science Studies (JMESS), 2020-03) Mbatha M., Elizabeth; Musundi W., Sammy; Kamweru K., Paul
Operators in Hilbert space have properties which are useful in the study of mathematical abstract areas such as approximation theory, Banach Fixed point theory, the spectral theory as well as Quantum Mechanics. Schrödinger equation is a fundamental entity with many applications in Quantum Mechanics. This equation was initially derived by applying the knowledge of electromagnetic wave function and Einstein theory of relativity. Later, it was derived by applying the knowledge of Newtonian mechanics. It was also derived by extending the wave equation for classical fields to photons and simplified using approximations consistent with generalized non-zero rest mass. However, from the existing literature no study has been done on deriving Schrödinger equation using properties of Hilbert space operators. In this study, Hilbert space operators that include unitary operators, self adjoint operators and compact operators, norms of linear operators, Hilbert Schmidt operator, normal operators together with Lebesque Integral, Neumann Integral and spectrum are used in place of the existing concepts of electromagnetic wave function, Einstein theory of relativity and approximation consistent with generalized non zero mass to derive the Schrödinger equation. The derivation of Schrödinger equation and its application using Hilbert space operators enhances a better understanding of the concept of Schrödinger equation. The results of this work can further find use in quantum mechanics as well as in mathematical operator theory.
Effect Of Electric Field In The Soil On The Germination And Growth Rate Of Rosecoco Beans Plant
(Research journali, 2020-01) Evance, Odiwour; Stanislous, Mutunga; Kanyago, Gitonga Anthony; Kuria, Kamweru Paul
This study shows the effect of electric field on the germination and growth of bean plants. Rose coco beans was chosen because its growing rate is fast and it’s a common food plant. An electric field was applied in the soil and is expressed in terms of electric energy density created within pairs of copper plates with different polarities (-ve and +ve) forming electric impulse with 9V DC current at room conditions for 6 hours a day. A control sample was treated similarly except with no electric field applied. The growth parameters investigated were the germination rate and the heights of the stems and were recorded after every 4 days. The obtained results shows a positive effect on the germination of about 27.8% positive deviation and improved height gain rate of 32.1%. This data shows that electric field could have an effect of awakening seed dormancy which result to faster germination, and positively influence other biochemical processes resulting to higher growth rates.
Adsorption of Lead (II) Ions from Aqueous Solutions Using Mangroves Roots (Rhizophora Mucronata) Charcoal-Carbon Nanotubes Nanocomposite
(Journal of Multidisciplinary Engineering Science and Technology (JMEST), 2021) Ngugi, Fidelis; Mwangi, Joel; Njagi, Eric; Ombaka, Ochieng
Providing clean and affordable water to meet human needs is a grand challenge of the 21st century. Worldwide, water supply struggles to keep up with the fast growing demand, which is exacerbated by population growth, global climate change, and water quality deterioration. Nanotechnology holds great potential in advancing water treatment to improve water treatment efficiency. In this study, Mangrove Roots Charcoal and Carbon Nanotubes (MRCCNTs) nanocomposite was synthesized and utilized as a novel adsorbent for the removal of lead ions from aqueous solutions. The efficacy of MRC-CNT nanocomposites was investigated in batch mode which involved the effects of pH, temperature, concentration of the lead ions, adsorbent mass and contact time on adsorbates removal. Characterization of the adsorbent was carried out by Scanning Electron Microscopy (SEM) to observe the morphology of the adsorbent and surface area analysis and Energy Dispersive X-ray spectroscopy (EDX) to determine the elemental composition of the adsorbent. Adsorption isotherm models and adsorption kinetic studies were used for data analysis. It was observed that the removal efficiency of Pb (II) ions depended on pH of solution and the maximum efficiency was noticed at pH 7 with adsorption capacity of 3.629 mg/g which was calculated by the Freundlich isotherm model. Kinetic studies were well suited and found in good agreement with pseudo-second order. The results indicated that MRC-CNT nanocomposites would be a promising adsorbent for adsorption of Pb (II) ions from aqueous solutions.
Adsorption of rhodamine b from aqueous solution using mangroves (Rhizophora mucronata) carbon nanotubes nanocomposites
(www.allsubjectjournal.com, 2021) Ngugi, Fidelis; Mwangi, Joel; Njagi, Eric; Ombaka, Ochieng
The use of dyes has increased dramatically and uncontrollably in last few decades. Different types of dyes are frequently employed in plastics, paper, cosmetics, leather, and textile industries for coloring purposes. These dyes are released in water as effluents, which are of low Biological Oxygen Demand (BOD) and high Chemical Oxygen Demand (COD). Some of these dyes also are toxic and carcinogenic in nature. This study report on the synthesis of Mangroves Roots-Carbon Nanotubes (MRC-CNT) nanocomposite as an adsorbent for efficient removal of Rhodamine B (Rh. B) dye from aqueous solution. Effect of contact time, initial concentration of dye, pH, and shaking speed on adsorption behavior were systematically investigated. The data obtained were fitted into Langmuir, Freundlich, Dubinin-Rudishkevich (D-R), and Temkin adsorption isotherm models for evaluation of adsorption parameters. The results indicated that MRC-CNT nanocomposite would be a promising adsorbent for adsorption of Rh. B from aqueous solutions.
Spectrophotometric Determination Of Copper (Ii) In Soil From Ahero Rice Irrigation Schemes Using Hydroxytriazene
(IOSR Journal of Applied Chemistry, 2020) Ombaka, Ochieng
A simple, rapid, sensitive and cost effective spectrophotometric technique for the determination of copper (II) using 3-hydroxy-3-m-tolyl-1-O-carboxyphenyltriazene has been reported. The complex formed was greenishyellow having stoichiometry of 1:1 (Cu (II): hydroxytriazene) at a pH range of 6.0-6.6. The measurements were carried out at a working wavelength of 405nm with a molar absorptivity of 2.8×104Lmol-1 cm-1and sandell’s sensitivity of 2.26ng/cm2 . Lambert –Beer’s law is obeyed over a range of 1.27-7.63mg/L of copper. The correlation coefficient of the standard calibration curve was 0.997. The complex formed between copper (II) and hydroxytriazene was greenish –yellow with composition of 1:1(Cu (II): hydroxytriazene). The relative standard deviation (n=10) for standard dilution of 635.46mgL-1 copper (II) was 0.92%. The change in Gibb’s free energy at 270Cwas determined using Purohit’s, Harvey and Manning’s method and found to be respectively. The study showed that, the following cations and anions do not interfere when present at equivalent amount of copper: Cl- ,Br- , CH3COO- , CO3 2- , PO4 3- ,SO4 2- , C2O4 2- , I- , S2O3 2- , NO2- , SO3 2- ,S2- ,HPO4 2- , F- , NO3 - , WO4 2- , MO7O24 6- , NH4 + , Na+ , k + , Ba2+ , Cd2+ , Mg2+ , Ca2+ . However, UO2+ , Mn2+ , Pb2+ , Hg2+ , Sn2+ , Th4+,ZrO2+,Co2+ , Zn2+, Ni2+ interferes with copper (II) determination at equivalent amount, hence the need for the masking agent. The present method was applied to the determination of copper (II) in agricultural soil samples.
NEW METALLOCHROMIC INDICATORS FOR COMPLEXOMETRIC TITRATION OF COPPER (II) IN PRESENCE OF INTERFERING SPECIES
(Life Science Informatics Publications, 2020-09) Ombaka, Ochieng
Six hydroxytriazenes has been introduced as a metallochromic indicator in the complexometric titration with EDTA and applied successfully to the titration of copper (II). A direct method of titration of Cu (II) with EDTA using these hydroxytriazenes has been proposed. The change of colour of the solution at the end point during titration was from yellow to green at a pH range of 5.5-6.0, 5.05-5.50, 5.0-5.5 for reagent number (i, ii, iii, vi), iv, v respectively. The titration can be performed at the temperature range of 25-60℃. The minimum concentration of copper (II) which can be titrated is as follows: 1.0 x 10−3 M Cu (II), 3.0 x 10−3M Cu (II), 5.0 x 10−3M Cu (II) when using reagent number (i, iii, v, vi), iv, ii respectively as metallochromic indicators. Interference studies of a number of cations and anions have been studied. Cl−, Br−, CH3COO−, PO4 3−, SO4 2−,C2O4 2−, S2O3 2−, NO3 −, SO3 −, S 2−, HPO4 2−, F −, NO3 −, WO4 2−,Mo2O24 6− , I −, NH4 +, Na+, K +, Ba2+, Hg2+, Mg2+, Ca2+ can be tolerated on the titration of Cu (II) up to tenfold excess. However, {U(vi), Sn(II), Zr(iv), Co(II), Zn(II), Ni(II)}, {Pb(II), Th(IV)}, {Mn(II), Cd(II)} interfered at equivalent amounts, fivefold excess, tenfold excess respectively.
Ab initio Investigation of the Structural and Electronic Properties of Alkaline Earth Metal - TiO2 Natural Polymorphs
(Hindawi Advances in Materials Science and Engineering, 2022) Mbae, J.K.; Muthui, Z.W.
Titanium (IV) oxide (TiO2) has gained much attention due to its application in technologies such as optoelectronics, electronics, sensors, photocatalysts, and sustainable energy generation. However, its optical absorption falls in the ultraviolet part of the electromagnetic spectrum, resulting in a low absorption ratio of solar light. In addition, rapid electron-hole recombination limits its photocatalytic activity. To extend the application range of TiO2, the structural and chemical properties can be modified by adding various dopants to tune its electronic structure for applications within a wider range of the solar energy spectrum and ideally extend towards the visible region, which forms the dominant part of the solar energy spectrum. In this study, the structural and electronic properties of three polymorphs of TiO2 have been studied using density functional theory (DFT) as implemented in the Quantum ESPRESSO simulation package. )e exchange-correlation potential has been treated with the generalised gradient approximation (GGA). Cationic substitution with non-toxic alkaline earth metal dopants Mg and Ca has been carried out with the aim of modifying the electronic structure of the polymorphs of TiO2. On 1–4% Mg and Ca cationic substitution, there is a slight expansion of the optimal unit cell volume and modulation of the band gap energy by raising the valence band maximum to higher energies. In addition, dopant inter and intra-band states are observed.
Determination of the Class TransitionTemperature and Modulus of PLA Films Using Dynamic Mechanical Analysis at C ° 50 and Amplitude of 10 µm
(2014-03) Muthui, Z. W. 1; Nderitu, F. G 2; Hussein, S. A. 3; Kamweru, P. K. Golicha 4; Ngumbu, R. 5
Polylactic acid (PLA) is an environment friendly biodegradable thermoplastic produced by micro organism synthesis through the fermentation of starch. It can be used in the manufacture of thermoplastic films used to produce packaging material in place of those produced from fossil fuels. Its introduction in the production of packaging material will reduce the consumption of petroleum, which releases Carbon (IV ) Oxide, a greenhouse emission, unburned carbon fragments and other compounds that give rise to smog and air pollution on burning. It is also compostable, aiding solid waste management. In this study the mechanical properties of PLA were determined over a temperature and amplitude range in order to establish whether it can be used in the production of packaging material for single use purposes and of disposable items. The storage ( (ω) ' E ) and loss ( (ω) '' E ) moduli as well as the Loss Tangent ( tanδ ) and the Glass Transition Temperature (Tg ) of PLA films were determined using the Dynamic mechanical analyzer (DMA) model 2980, used in the Multistrain mode. The storage modulus of PLA at C ° 50 and amplitude of 10 µmwas found to be 2220.00 MPa. The loss modulus for PLA was found to be 112.90 MPa at the same temperature and amplitude. Consequently, the elastic modulus E of PLA was found to be 2222.87 MPa. This indicates that PLA is strong and tough at this temperature. From the peak of the loss modulus graph the Tg of PLA was found to be C ° 65 .Tgfrom the variation of loss tangent with temperature occurred at C ° 3.74 .
Geophysical structure of Homa Hills Geothermal field based on Gravity and magnetic survey
(2011) Adero, B. Otieno; Odek, A.; Ambusso, W.; Gitonga, G. J.
Gravity and ground magnetic surveys were conducted over an area of 76 Km 2 in order to investigate thermal structures responsible for geothermal manifestations such as hot springs in the Homa Hills geothermal prospect. The two surveys show that the southern part of the prospect has a potential for geothermal resource and should be investigated further to establish presence of an exploitable hydrothermal system. The magnetic survey indicates higher demagnetization in this part of the field compared to other parts of the field. The gravity survey is relatively sharp with a classic dome shaped profile associated with a large shallow dike
2D-Euler Deconvolution and Forward Modeling of Gravity Data of Homa-Hills Geothermal Prospect, Kenya
(2013) Odek, O. 1; Otieno, A.B. 1; Ambusso, W.J. 1; Githiri, J. G 2
In order to fully assess the potential of Homa Hills Geothermal prospect, the heat source which is one of the main features of a geothermal system had to be located based on its perturbation on the gravity field. Ground gravity survey was conducted in an area covering about 76 km2 and the data processed to remove all other effects which are not of geological interest. Qualitative interpretation was attempted and cross sections drawn across the anomalous areas on the complete Bougu er anomaly map. Quantitative interpretation attempted involved both Euler Deconvolution and 2 ‐D Forward modelling. The parameters obtained from Euler Deconvolution were used as the start up parameters for 2 ‐D Forward modeling. Well clustered Euler solutions were obtained at a shallow depth of approximately 200‐750 m which is consistent with the modeled shallow dike like intrusive probably of carbonatite origin

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