StudentShare solutions
Triangle menu

Geophysical Modelling - Essay Example

Nobody downloaded yet

Extract of sample
Geophysical Modelling

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 ...Show more
Cite this document
  • APA
  • MLA
(“Geophysical Modelling Essay Example | Topics and Well Written Essays - 1750 words”, n.d.)
Retrieved from
(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


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…
Geophysical Modelling
Read Text Preview
Save Your Time for More Important Things
Let us write or edit the essay on your topic
"Geophysical Modelling"
with a personal 20% discount.
Grab the best paper

Check these samples - they also fit your topic

Magnetic Geophysical Method
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.
12 pages (3000 words) Essay
Financial Modelling Report
The project entails plotting of dependent variable against the five independent variables and also amongst the independent variables with the aim of finding out whether any relationship exists; and if it exists, establish whether it is direct or indirect.
8 pages (2000 words) Essay
Bioinformatics and molecular modelling
Notably, plant enzymes have some advantages over animals and microbial enzymes since they are available from natural sources with low costs and ease of purification. They widely exist in plant and microbial species, but with poor characterization of structure.
8 pages (2000 words) Essay
Bussiness modelling
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
4 pages (1000 words) Essay
Financial Modelling Report
In this project, it will be hypothesized that return on stock is subject to the size of the firm, the book-to-market ratio as well as beta; and that different regions of the world have different impacts on the stock returns,
8 pages (2000 words) Essay
The simulation process has four phases. Firstly define the problem and statement of objectives. Secondly construct an appropriate model.
4 pages (1000 words) Essay
Advanced Financial Modelling
s theory actually describes the behavior of people when choosing between risk involved alternatives with unknown probabilities of outcome (Barber and Odean, 2011, pg. 87). Prospect theory is also known as the "loss-aversion theory." This theory stipulates that generally, people
4 pages (1000 words) Essay
Business modelling
To effectively understand such issues an individual will collect data parting the question at hand and thereafter employs regression to estimate the quantitative effect
8 pages (2000 words) Essay
Business modelling
s 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
8 pages (2000 words) Essay
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
3 pages (750 words) Essay
Comments (0)
Click to create a comment
Let us find you another Essay on topic Geophysical Modelling for FREE!
Contact us:
Contact Us Now
FREE Mobile Apps:
  • About StudentShare
  • Testimonials
  • FAQ
  • Blog
  • Free Essays
  • New Essays
  • Essays
  • The Newest Essay Topics
  • Index samples by all dates
Join us:
Contact Us