By Matthias Albert Augustin

This monograph specializes in the numerical tools wanted within the context of constructing a competent simulation instrument to advertise using renewable power. One very promising resource of strength is the warmth kept within the Earth’s crust, that's harnessed by way of so-called geothermal amenities. Scientists from fields like geology, geo-engineering, geophysics and particularly geomathematics are known as upon to aid make geothermics a competent and secure power construction procedure. one of many demanding situations they face consists of modeling the mechanical stresses at paintings in a reservoir.
The goal of this thesis is to strengthen a numerical resolution scheme through which the fluid strain and rock stresses in a geothermal reservoir could be made up our minds ahead of good drilling and through creation. For this function, the tactic should still (i) comprise poroelastic results, (ii) offer a way of together with thermoelastic results, (iii) be reasonably cheap when it comes to reminiscence and computational strength, and (iv) be versatile in regards to the destinations of knowledge points.
After introducing the elemental equations and their kinfolk to extra general ones (the warmth equation, Stokes equations, Cauchy-Navier equation), the “method of primary strategies” and its capability price touching on our activity are mentioned. in line with the houses of the elemental options, theoretical effects are verified and numerical examples of pressure box simulations are awarded to evaluate the method’s functionality. The first-ever 3D pictures calculated for those subject matters, which neither requiring meshing of the area nor related to a time-stepping scheme, make this a pioneering volume.

Show description

Read Online or Download A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs (Geosystems Mathematics) PDF

Similar number systems books

Mehrgittermethoden: Ein Lehr- und Übungsbuch (German Edition)

Um partielle Differenzialgleichungen numerisch zu behandeln, müssen riesige lineare oder nichtlineare Gleichungssysteme aufgestellt und gelöst werden. Das geschieht meistens mit iterativen Verfahren, die keine überflüssigen Operationen mit den vielen Nullen in der Koeffizientenmatrix ausführen. Zu den schnellsten und wichtigsten Verfahren dieser Klasse gehören die Mehrgittermethoden, die große aus kleinen Strukturen stufenweise aufbauen.

Quadrature Domains and Their Applications: The Harold S. Shapiro Anniversary Volume: 156 (Operator Theory: Advances and Applications)

Quadrature domain names have been singled out approximately 30 years in the past via D. Aharonov and H. S. Shapiro in reference to an extremal challenge in functionality conception. due to the fact that then, a sequence of coincidental discoveries placed this type of planar domain names on the heart of crossroads of a number of particularly autonomous mathematical theories, e.

The Mathematical Theory of Time-Harmonic Maxwell's Equations: Expansion-, Integral-, and Variational Methods (Applied Mathematical Sciences)

This e-book supplies a concise creation to the fundamental ideas wanted for the theoretical research of the Maxwell Equations, and filters in a chic manner the fundamental components, e. g. , about the quite a few functionality areas had to carefully examine the boundary critical equations and variational equations.

Introduction to Uncertainty Quantification (Texts in Applied Mathematics)

This article presents a framework within which the most targets of the sphere of uncertainty quantification (UQ) are outlined and an summary of the diversity of mathematical tools during which they are often achieved. Complete with workouts all through, the booklet will equip readers with either theoretical knowing and functional adventure of the major mathematical and algorithmic instruments underlying the remedy of uncertainty in sleek utilized arithmetic.

Extra resources for A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs (Geosystems Mathematics)

Sample text

Download PDF sample

A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs (Geosystems Mathematics) by Matthias Albert Augustin


by Anthony
4.0

Rated 4.40 of 5 – based on 29 votes