Contact Us
Sign In / Sign Up for FREE
Go to advanced search...

Geophysical Modelling - Essay Example

Comments (0) Cite this document
Here, the temperature () is a function of , , (), and (); () is the thermal conductivity, () is the density, () is the specific heat per unit mass, and () is the rate of internal energy conversion (so-called heat generation) per unit volume. This equation is a direct consequence of the first law of thermodynamics (Pitts & Sissom 1998, p…
Download full paperFile format: .doc, available for editing
GRAB THE BEST PAPER98.1% of users find it useful
Geophysical Modelling
Read TextPreview

Extract of sample "Geophysical Modelling"

Download file to see previous pages Firstly, we may declare the thermal conductivity of the soil layers as constant value (2nd assumption). Indeed, if heat transfer is plane and steady, and if is not large (in our case ), one can make a reasonably accurate approximation using a constant average value of (Lienhard &Lienhard 2003, p. 51).
Then, we may declare the density and the specific heat of the soil layers as constants and (3rd assumption). It is necessary to note that such assumption is somewhat groundless, especially for the cases of strictly inhomogeneous soils. However, only after this we may introduce a constant diffusion coefficient () of the soil (Bird et al. 2002, p. 268).
Finally, we may declare that the rate of internal energy conversion is negligibly small (4th assumption). In fact, such assumption is declaration of absence of the heat generation or consumption within the soil. Again we note that this assumption can be groundless for the inhomogeneous soils with stone inclusions, fluid- or air-filled interstices with internal convective flows. Moreover, the heat transfer in such porous and composite media is very difficult to analyze (Bird et al. 2002, p. 281-283).
for the steady boundary conditions and ; is the thickness of the soil upon the rock background. Solution (5) is easy to derive analytically (Haberman 1983, p. 13-14), so we will use it for checking our numerical model by approximation at .
Heat transfer model parameters
The simplified problem (4) is stated by following values: m, m2s-1.
Boundary conditions are: , (1st case), and (2nd case).
Initial values are stated by equation .
Model discretization is stated by number of soil layers , their thicknesses m, and the timestep (in seconds) which we can modify (240s, or 550s).
Model geometry is shown at the figure 1. In our model zero-level () is located at the surface of the rock background because the soil thickness is rather unstable parameter. Indeed, thickness of the real soil cover is a function and for the small areas only. Therefore, we will use more "stable" rock surface to count out -values of the soil layers.
Model dynamics (i.e. heat conduction process) is described by (4) which is transformed in a form of difference equation
here, denotes ; , ; , .
The work equation (6) is derived from (4) by FTCS scheme, when forward differentiation was used for and centered differentiation was used for (Boyce & DiPrima 2001, p. 419f).
Figure 1 - Model geometry
1. Let us transform the FTCS scheme (6) into an explicit form:
For the bottom soil layer () we have
because of .
For the layer near the soil surface () we have
because of .
2. To create a Matlab script for solving equation (4) in the explicit FTCS form (7), we can use both initial script and examples of (Mathews & Fink 1999, p. 526-536). Work model code is in ...Download file to see next pagesRead More
Cite this document
  • APA
  • MLA
(“Geophysical Modelling Essay Example | Topics and Well Written Essays - 1750 words”, n.d.)
Geophysical Modelling Essay Example | Topics and Well Written Essays - 1750 words. Retrieved from
(Geophysical Modelling Essay Example | Topics and Well Written Essays - 1750 Words)
Geophysical Modelling Essay Example | Topics and Well Written Essays - 1750 Words.
“Geophysical Modelling Essay Example | Topics and Well Written Essays - 1750 Words”, n.d.
  • Cited: 0 times
Comments (0)
Click to create a comment or rate a document

CHECK THESE SAMPLES OF Geophysical Modelling

Magnetic Geophysical Method

... of Learning: Magnetic Geophysical Method Introduction The magnetic geophysical method is a scientific approach that is used to measure variations or anomalies that are localized and small in the magnetic field of the earth. Materials found on the surface of the earth such as the basic igneous rocks, and the ore magnetic bodies are helpful when it comes to the identification of the magnetic variations because they have the magnetic properties. Steel objects buried in the earth also help in the production of the strong anomalies or magnetic fields. The magnetic field of the earth can be approximated in the sense that the magnetic dipole is situated slightly off the center of the earth and that the dipole is incline close to fifteen degrees...
12 Pages(3000 words)Essay

Mathematical Modelling

...? Mathematical Modeling al Affiliation) Introduction The paper applies the second-order differential equations in variousreal life situations. Most of the questions involve the masses that bounce up and down at the spring’s end. The questions apply the accurate descriptions of the motion under various motions of situations. The work also introduces a lot of results and notions that are equally applicable in things that oscillate and vibrate in similar manner. For instance, the current analysis in fundamental circuit is analogous to analysis involving the spring’s mass. Discussion Diagram representing the (MSD) System Source: "Mass-Spring-Damper." File:Mass-Spring-Damper (2 body system).svg. N.p., n.d. Web. 28 Nov. 2013.
4 Pages(1000 words)Math Problem

Modelling (Spreadsheet Modelling for OR)

...Introduction: Azerbaijan is one of the most populated regions, it is located neighbours east of Europe and west of Asia with an area of approximately 86,000 square kilometres, The population size according to the 2002 census showed that there are over 8 million individuals in the region, this adds up to a population density of 92 individuals per square kilometres. This paper studies the population growth rate and the mortality rate in this country; we study the population growth and mortality rate among the females in this region. Data: The following data was used to analyse the population characteristics in the country, the data below shows the female death rate in the last five years for every 1000 of initial population... Azerbaijan is...
3 Pages(750 words)Essay

Bussiness modelling

...Business and Conceptual Modeling In developing the information system of an organization various aspect of the project has to be taken into consideration. This includes the culture of the organization, its resilience to change and its readiness to embrace change. And the management of the irrational fear amongst the employee of being laid-off only to be replaced by machines. Another primordial consideration in Information System development is the rationalization and management of expectation with regards to deliverables. Change does not happen overnight, having said that, the organization should not consider the information system as the solution to all that is wrong in the organization. In the same manner the information system being...
4 Pages(1000 words)Essay

Modelling the Statistics of Economy: Influence of Gross Domestic Product and Income distribution on Gross National Income

...Modelling the Statistics of Economy Influence of Gross Domestic Product and Income distribution on Gross National Income Introduction This essay is an econometric analysis of the various economical statistics in terms of specific model that best describes them. The major statistics of economy as described in NationMaster website ( ) include Gross Domestic Product (GDP), Purchasing Power Parity (PPP), distribution of income, distribution of consumption, gross national income, GDP and Real Growth rate, Human development index, Budget, Expenditures, technology index, informal economy, debt and Economic freedom of contries ( These statistics...
10 Pages(2500 words)Essay

Financial modelling

...FINANCIAL MODELING By of the of the School Briefly explain the conceptsof expected return, standard deviation, and correlation (in the context of share prices), and discuss their importance in portfolio management. The fundamental concept behind Modern Portfolio Theory (MPT) is the fact assets in an investment portfolio should generally not be selected individually, each and every one on its own merits. It is very necessary to consider how each and every asset changes in price relative to how every other asset in the portfolio changes in price. The process of investment is basically a tradeoff between expected return and risk. Generally, it is thought that assets with much higher expected returns are more risky. For any given amount...
6 Pages(1500 words)Lab Report

Business modelling

...Business Modelling By Key words: Principles, Simulation Introduction Business modeling has been used for so long to solve business problems and develop strategies for the success of these businesses. There are so many models that can be used for this purpose. This paper will look at some of these models and their strengths and limitations. Linear Regression Analysis Strengths This is a technique of statistical analysis that helps business managers, economists and even business researchers forecast on the trends of their businesses in the coming future. Regression analysis will give the trends of the variables and this relationship will give a clear picture on what to expect in the future (Curwin, Slater and Eadson 2013). It also helps...
8 Pages(2000 words)Essay

Systems Modelling

...Logo) System Modelling Laboratory 3: Mechanical Systems and Space Representation December 8, Dr. R.P. Jenner TASK Space Representation of Mechanical Systems 1.1 System diagram and time domain equations. 1.1)1. System diagram Fig.1.0. System diagram and free body diagram of a Mass Spring Damper (MSD) system. Available at§ion=SystemModeling 1.1)2. Derivation of time domain equation Applying Newton’s third equation on the system and then summing the forces acting on the system yields the following equations. Newton’s 3rd law: (1) Summation of forces: (2) 1.1)3. Description The equation is reached by taking the algebraic sum of all forces acting on the body...
4 Pages(1000 words)Lab Report

Economic Modelling

...A study on the effect of Unemployment benefits on unemployment By School Location Outline A study on theeffect of unemployment benefits on unemployment I. Introduction: II. Background of the study III. Data for the study a. Table on the data for the study b. Chart on the analysis for the study IV. Method of the study V. Results of the study. a. Effect of inflation and Unemployment benefits on unemployment b. Limitations of the analysis VI. Conclusion VII. Recommendations a. Provision of unemployment benefits in a short term period b. Vary the remission of unemployment benefits based on economic conditions Introduction Unemployment benefits have been relied upon by most governments to provide remedies to the unemployed... study on the...
10 Pages(2500 words)Essay

Financial Modelling

...FINANCIAL MODELLING Introduction In this report, we attempt to explore whether a company should introduce a profit sharing scheme for all employees. Two theoretical principles have been postulated before. One postulates that introduction of profit sharing scheme will improve employee satisfaction and organisational commitment. The other theory argues that there will be greater alignment of employee and employer interests if such a scheme is introduced. Six variables have been used to conduct a quantitative analysis. The variables are; Profit margin of company (expressed as a percentage), Total assets of company (expressed in £ millions), Extent of team working within the company (expressed as a percentage), Scheme (coded as 1 if company...
7 Pages(1750 words)Research Paper

Mathematical modelling

...Mathematical Modelling al Affiliation Mathematical modelling is a fundamental way of using mathematics to solve real world situations. The solution involves both a theoretical approach to describe the system in general, and a mathematical approach where numerical answers are required. This report uses roller coaster and rectangular area problems to demonstrate the application of mathematical modelling using differentiation. Introduction Explaining mathematical modelling In as much as mathematical modelling is mathematics, it is also a theoretical science, thus offers mathematical answers to both narrow questions requiring numerical answers, and broach questions that require a description of general behaviour. In mathematics, modelling...
3 Pages(750 words)Essay

Numerical Modelling - Systems Simulation

...ASSIGNMENT 2: NUMERICAL MODELLING (SYSTEMS MODELLING AND SIMULATION COMPUTATIONAL FLUID DYNAMICS (CFD) Computational Fluid Dynamics (CFD) canbe used to study the processes of lift, drag and thrust and the air motion involved in each. A Rolls-Royce Trent 900 Engine, with a three shaft turbofan containing rotors with three different levels of pressure, can be analysed with CFD using the method of meshing. The meshing method first breaks the solution domain into small elements or control volumes (constituting a mesh). So for example, when calculating the air flow around an aerofoil, the surrounding space is drawn with a triangular mesh. Each of these control volumes or elements must be in balance. The CFD solution contains the flow...
11 Pages(2750 words)Case Study

Modelling the Amount of a Drug in the Bloodstream

The amount of drug (μg) for treatment of malaria in the bloodstream after an interval of 0.5 hours (30 minutes) for 10 hours is recorded in the given graph as shown in figure 1. From this graph, the values of the amount of drug (μg) after 0.5 hours are taken and presented in table 1. Below figure 2 is plotted based on table 1 data.

However, it is easier for modeling when we take the value of ‘n’ as ‘e’1 because for simplifying exponential equation it is easier to take the value of ‘n’ as ‘e’. this type of exponential equation is called as “natural exponential equation”2 and can be written as :

The above equation is a natural exponential equatio...
6 Pages(1500 words)Assignment

Strategic Modelling for Human Resource Management

... Strategic Modeling Of Human Resource Content CHAPTER NAME PAGE Number I. Introduction 3 II. Dependency Diagram 4 a. The Dependency Diagram: An Overview 5 III. How to use HRM Simplified 2008: A guide IV. The Main areas of Work in the HRM Simplified 6 V. The Macro 12 VI. The charts 13 VII. VBA Programming 15 Introduction One of the largest tasks for any company or organization no matter how big or how small is to stabilize the recruitment situation. By ‘stabilizing the recruitment’ we mean to occupy, retain, promote and keep the labor motivated until departure of the workforce. The workforce plays a major role in any organization, as a matter of fact most of the organizations now a days have realized the crucial importance...
8 Pages(2000 words)Case Study

Modelling the Amount of a Drug in the Bloodstream

...Math Portfolio- Modelling the Amount of a Drug in the Bloodstream Math Portfolio- Modelling the Amount of a Drug in the Bloodstream Introduction Thismathematics portfolio will model the amount of drug in the bloodstream based on the data given for a drug for treating malaria in the bloodstream over the 10-hour period following an initial dose of 10 μg. After modelling the amount of drug in bloodstream, a comparison will be made in-between graph of model function and graph of data given so that suitability of the model function can be determined (part A). After that in part B, various cases for malaria patient who is instructed to take 10 μg drug doses after every six hours will be taken. In addition, maximum and minimum drug dose for 24...
6 Pages(1500 words)Lab Report

Investment Portfolio Modelling

... Reading Header: Investment Portfolio Modelling Abstract Mr. Fortunate is a 30 year old healthy man, who earns highly though contracted as a financial risk advisor wishes to make some tangible investments to cater for his future needs and plans. This include catering for own and his wife’s retirement plans and educational funds for his two children aged two and three years of age. His average annual income is £100,000; however his wife has recently been laid-off from her job. Mr. Fortunate’s wife managed to obtain a redundancy payment of £12,000 of which she intends to establish a domestically based career as a writer. The couple owns a house valued at £200,000 purchased five years ago but with an annual repayment mortgage of £130,000...
8 Pages(2000 words)Case Study

Regression Modelling and Analysis

... Abstract Regression Analysis is a major part of every business and is an important tool for business statistics. The straight line regression method has been focused upon. The paper provides complete explanation of the various regression methods, detailed explanation of the regression line using the least square methods and also the interpretation of the regression line. The paper provides a complete, clear and concise explanation of all the aspects of regression modelling and regression analysis. Introduction: Regression modelling and analysis forms an important aspect of business statistics. The paper begins with a detailed explanation of regression analysis and then focuses mainly on the straight line regression method. The formula...
7 Pages(1750 words)Term Paper

The Effectiveness of Video Modelling

...The Effectiveness of Video Modelling Abstract The current proposal reviews and justifies the need to research the effects of video modelling on teaching and learning achievements for students with autism in Saudi Arabia. The topic, research statement, and rationale for the research are provided. The proposal provides a brief literature review and evaluates the limitations of the current research. An overview of available studies in the context of video modelling use for children with autism is provided. The proposal includes a brief review of methodology and discusses possible limitations and bias. The list of references is provided. RESEARCH PROPOSAL FOR THE DEGREE OF PhD IN EDUCATION AT FLINDERS UNIVERSITY The Effectiveness...
12 Pages(3000 words)Research Paper

Object data modelling 2

...Object and Data Modeling Assignment 2 TABLE OF CONTENTS List of Entities & their attributes in UNF 3 2.Initial ER Model 6 3.Normalization of all entities 6 3.1.1NF - First Normal Form 6 4.Extended ER Model 18 5.Database Schema 20 TABLE OF FIGURES Figure 1: Initial ER Model 6 Figure 2: Extended ER Model 19 1. List of Entities & their attributes in UNF S. No. Entity Name Entity Attributes 1. Customer Customer Number (PK) Title First Name Last Name DOB Street Address Zip Code City Name State Name Country Name Phone Mobile Email 2. Airport Name (PK) Street Address Zip Code City Name State Name Country Name Phone Fax {Gate Number} 3. Flight Flight Number (PK) Departure Airport Departure Gate Number Departure Date and Time Destination Airport...
10 Pages(2500 words)Essay

Business Process Modelling: SIMUL8

...Business Process Modelling Introduction The paper details the ability of simulation based planning to examineproduct flow across a company while seeking to provide mechanisms through which the same can be made better leading to proficiency within the system. It studies the SIMUL8 planner’s ability to correctly provide data from a simulation that would be directly relevant and identical to the sampled production line leading to saving on time and cost. (Law, 2006) While realizing the ability of the SIMUL8 planner to provide a powerful platform to develop, test, and refine production schedules before being released into the shop-floor, the study sought to generate production plans for composite modelling companies that would lead...
7 Pages(1750 words)Case Study
sponsored ads
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.

Let us find you another Essay on topic Geophysical Modelling for FREE!

Contact Us