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- /* This file is part of Lemma, a geophysical modelling and inversion API */
-
- /* This Source Code Form is subject to the terms of the Mozilla Public
- * License, v. 2.0. If a copy of the MPL was not distributed with this
- * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
-
- /**
- @file
- @author Trevor Irons
- @date 06/19/2009 09:12:20 AM The Birth of Lemma!
- @version $Id: lemma.h 203 2015-01-09 21:19:04Z tirons $
- **/
-
- // \image html lemma.png
- /** \mainpage Lemma is an ElectroMagnetics Modelling API
-
- \authors Trevor Irons and M. Andrew Kass and others
-
- Originally Lemma was intended as a recursive acronym standing for
- <B>L</B>emma is an <B>E</B>lectro<B>M</B>agnetics <B>M</B>odelling <B>A</B>PI.
- As the breadth of the project has expanded, the name has remained
- appropriate in a more literal sense. Lemma is a flexible cross-platform
- library delivering an expressive API that can be used to easily create
- versatile programs. Lemma is not itself a program, instead it is a
- collection of building blocks to make geophysical applications.
- We retain this name because:
-
- - In mathematics a Lemma is a proven proposition which is used as a
- stepping stone to a larger result rather than as a statement in-and-of
- itself.
- - In addition to the electromagnetic modelling, some other facilities are
- provided such as numerical optimization and inversion capabilities. These
- tools are also considered stepping stones to final products.
-
- We feel that this is a particularly approprate name, as Lemma's
- API can be leveraged create powerful applications such as forward
- modelling and inverting frequency and time-domain
- surveys of arbitrary survey design, sNMR surveys, CSAMT and more.
-
- \section Motivation
- Why another Geophysical EM project? For starters, there aren't that many
- quality open source packages out there. Those that do exist are generally
- specialized to perform a single task and extending them is a major undertaking.
- Lemma's approach is much different, by providing a set of general tools users
- can easily assemble applications that suite their needs. Furthermore, most are
- written in either Fortran or MATLAB, and can be difficult to integrate into
- multiphysics applications. To our knowlege, Lemma is the only C++ EM simulation
- package freely available.
-
- \section Capabilities Capabilities
- In the long term, we have many goals for this software project. Due to its
- design, Lemma can be built upon and extended easily. The initial aim is to
- provide flexible 1D and 3D EM modelling in the time and frequency domains.
- The project is still in beta, but we have made a lot of progress already.
- We will release our first non-beta release as soon as the following are
- supported.
-
- \subsection FDM Frequency-domain forward modelling
- Lemma was initially called EMMODFD: Electromagnetic Modelling in the Frequency
- Domain. As such this is the most mature area of Lemma.
-
- \par 1D
- Frequency domain solutions to electrical and magnetic dipoles can be computed
- quasi-analytically in 1D. Calculations can be made in or above the layered
- media, and complex electrical conductivity and magnetic susceptibility are
- supported according to the Cole-Cole model. Sources may be embdedded in the
- media or in the resisitive air layer. Lemma can also can compute fields due
- to arbitrarily shaped ungrounded wire loops, topography of the loops is also
- supported. Two separate approaches to solving the Hankel transform, one
- based on Anderson's digitial filtering technique, and another based on Gaussian
- quadrature.
-
- \par 3D
- A fast 3D solver that can modify the 1D results based
- on arbitrary electrical conductivity model is nearing completion and is
- provided in a separate module.
-
- \par future work
- We are also planning on supporting grounded wires in the near future.
-
- \subsection TDM Time-domain forward modelling
- A 1D time-domain solution has been implemented that utilises both a
- dipole source as well as a wire loop. Currently, only one receiver is
- modelled at a time, but will be generalised. In addition, utilities
- to read in data files for modelling have been implemented.
- We would like to offer 3D time domain support, but this will not be
- provided before our first stable release.
-
- \subsection DataFormats Data Formats
- The EM community is plagued with myriad data formats. Often each equiptment
- manufacturer provides their own data format and interoperability is a
- constant struggle. We are working on a flexible data format based on the XML
- format that can be adapted to many types of data. The template for this
- format will be publically released and we hope it catches on in the community.
- At the least, it will provide a mechanism to compare datasets and datatypes
- within Lemma.
-
- \section Modules Modules
- Due to Lemma's design, it is easy to extend the platform. In some cases this
- extension results in adding functionality that is not directly related to
- ElectroMagnetics. The following modules utilise parts of Lemma to provide
- their functionality.
-
- \section Tutorials
- - \ref Tutorial - Basic intruduction to Lemma, including aquiring and
- compiling the code, class structure, and building your own
- applications.
- - \ref Extending Tutorial on how to extend Lemma.
-
-
- \section Development Development and design
- Ths package was initially developed by the Center for Gravity, Electrical, and
- Magnetic Studies (CGEM) at the Colorado School of Mines (CSM), the United
- States Geological Survey (USGS), and Broken Spoke Development, LLC. Where it drew
- on work by many others including Ki Ha Lee, and Walt Anderson. All new work and
- interfaces are written entirely in C++. Several small external projects are
- included, which are written in standard C, and FORTRAN 77. We adapt a
- modern, test driven, object oriented, C++ framework.
- More recent development has been undertaken at the University of Utah through the Energy
- and Geoscience Institute.
-
- \section Legalities
-
- \subsection Copyrights
- The following copyrights apply to the source.
- Most of the code was developed either by Trevor
- Copyright (C) 2008-2010 Trevor Irons <trevor.irons@lemmasoftware.org> or
- M. Andrew Kass Copyright (C) 2010 <mkass@usgs.gov>.
-
- The 1D EM solver was derived (but updated heavily) from a Fortran
- programme written by Ki Ha Lee in 1984. We have communicated with Ki Ha,
- and he assured us that this code is in the public domain.
-
- A Gaussian quadrature hankel transform originally written by Alan Chave was
- ported to C++. This code is in the public domain, and the source code was
- published in Geophysics.
-
- A digital filtering approach to the Hankel transform written by Walt
- Anderson was also rewritten for Lemma. The original Fortran code is also in
- the public domain.
-
- Please note that Ki Ha Lee and Walt Anderson had no part in this work, and
- the above should not be interpreted as any sort of endorsement by those
- parties.
-
- \subsection License
-
- This Source Code Form is subject to the terms of the Mozilla Public
- License, v. 2.0. If a copy of the MPL was not distributed with this
- file, You can obtain one at http://mozilla.org/MPL/2.0/.
-
- \section Contributing Suggestions and contributions
- We welcome contributions and suggestions. Feel free to email the development
- team at info@lemmasoftware.org.
- Under the terms of the MPL, if you modify a Lemma file, you are obligated to
- share those contributions back with the community.
-
- \section Useful Useful links
- - Home page https://lemmasoftware.org
- - Git repository https://git.lemmasoftware.org
- - Broken Spoke Develpment http://numericalgeo.com
- - CGEM at the Coloroado School of Mines http://geophysics.mines.edu/cgem/
- - EGI at the Eniversity of Utah http://egi.utah.edu/
- **/
-
- #pragma once
-
- #ifndef __LEMMA_H
- #define __LEMMA_H
-
- #include <LemmaConfig.h>
-
- // Include some basic stuff that will always be needed
- #include <iostream>
- #include <iomanip>
- #include <complex>
- #include <fstream>
- #include <string>
- #include <vector>
- #include <stdexcept>
- #include <sstream>
-
- #include <Eigen/Core>
- #include <cstddef>
- #include <Eigen/StdVector>
- #include <Eigen/Sparse>
- #include <unsupported/Eigen/FFT>
- //#include <unsupported/Eigen/SparseExtra>
- #include <Eigen/Geometry>
-
- /** \brief The only namespace used by Lemma
- *
- * \details The rational behind this namespace is that built-in
- * types should be used wherever possible, but not
- * not built-in names. This allows for code that is better
- * enacsulated and easier to modify. The typedefs and constants
- * specified here are defined so that
- * precision/inplimentation can easily be changed.
- * All floating precision types should be typedefed in this file
- * and should not be used natively within any code.
- * Lemma uses
- * the Eigen Matrix/Vector/Linear Algebra library.
- * <http://eigen.tuxfamily.org> and a lot of the namespece typedefs
- * are specifying Eigen types.
- */
- namespace Lemma {
-
- /// Real defines precision for the whole API, default is double
- #ifdef LEMMA_SINGLE_PRECISION
- typedef float Real;
- #else // ----- LEMMA_SINGLE_PRECISION -----
- typedef double Real;
- #endif // ----- not LEMMA_SINGLE_PRECISION -----
-
- /// Complex version of Real.
- typedef std::complex<Real> Complex;
-
- /// A 3 component Eigen vector of Reals
- typedef Eigen::Matrix<Real, 3, 1> Vector3r;
-
- /// A 3 X Dynamic Component Eigen matrix of Reals
- typedef Eigen::Matrix<Real, 3, Eigen::Dynamic> Vector3Xr;
-
- /// Variable length Eigen vector of Reals
- typedef Eigen::Matrix<Real, Eigen::Dynamic, 1> VectorXr;
-
- /// Variable length Eigen vector of integers (int)
- typedef Eigen::Matrix<int, Eigen::Dynamic, 1> VectorXi;
-
- /// Variable length Eigen vector of Complexes
- typedef Eigen::Matrix<Complex, Eigen::Dynamic, 1> VectorXcr;
-
- /// A 3 Component Eigen vector of Complexes
- typedef Eigen::Matrix<Complex, 3, 1> Vector3cr;
-
- /// A 3 X Dynamic Component Eigen matrix of Complexes
- typedef Eigen::Matrix<Complex, 3, Eigen::Dynamic> Vector3Xcr;
-
- /// Variable length Eigen Matrix of Reals
- typedef Eigen::Matrix<Real, Eigen::Dynamic, Eigen::Dynamic> MatrixXr;
-
- /// Variable length Eigen Matrix of ints
- typedef Eigen::Matrix<int, Eigen::Dynamic, Eigen::Dynamic> MatrixXi;
-
- /// Variable length Eigen vector of Complexes
- typedef Eigen::Matrix<Complex, Eigen::Dynamic, Eigen::Dynamic> MatrixXcr;
-
- ////////////////////////////////////////
- // Constants used across the programmes
-
- /// Restating the obvious, this is pi
- const Real PI = 4.0*atan(1.0);
-
- /// Permitivity of Free Space
- //const Real EPSILON0 = 8.854187817e-12;
- const Real EPSILON0 = 8.854187817e-12;
-
- /// Permeability of free space
- const Real MU0 = 4.*PI*1e-7;
-
- /// 1/4 of \f$ \pi\f$
- const Real QPI = .25/PI;
-
- /// Some functions will convert units from SI (standard) to Gauss
- /// This is because NMR calculations are much more natural in Gauss
- enum MAGUNITS {TESLA, NANOTESLA, GAUSS};
-
- /// Unit of temperature entered
- enum TEMPUNITS {CELCIUS, KELVIN};
-
- /// Unit of time entered
- enum TIMEUNITS {SEC, MILLISEC, MICROSEC, NANOSEC, PICOSEC};
-
- /// Unit of time entered
- enum FREQUENCYUNITS {HZ, KHZ, MHZ, GHZ};
-
- /// FEM coil relative orientations
- enum FEMCOILORIENTATION {COAXIAL, COPLANAR};
-
- /// General orientation relative to coordinate system
- enum ORIENTATION {X, Y, Z, NX, NY, NZ};
-
- /// Type of field
- enum FIELDTYPE {HFIELDREAL, HFIELDIMAG, EFIELDREAL, EFIELDIMAG};
-
- /// Compenent of vector field
- enum FIELDCOMPONENT {XCOMPONENT=0, YCOMPONENT=1, ZCOMPONENT=2};
-
- /// Spatial component of vector
- enum SPATIALCOORDINANT {XCOORD=0, YCOORD=1, ZCOORD=2};
-
- /** Evaluation method for Hankel integrals.
- * ANDERSON801 Walt Anderson's 801 point filter
- * CHAVE Alan Chave's gaussian quadrature integration method
- * FHTKEY201 Key's 201 point filter
- * FHTKEY201 Key's 101 point filter
- * FHTKEY51 Key's 51 point filter
- * QWEKEY Key's Gaussian quadrature integration method
- */
- enum HANKELTRANSFORMTYPE { ANDERSON801, CHAVE, FHTKEY201, FHTKEY101, FHTKEY51, QWEKEY,
- FHTKONG61, FHTKONG121, FHTKONG241, IRONS };
-
- /** Enum is OK because these are the only physically possible sources.
- @param NOSOURCETYPE is default.
- @param ELECTRICDIPOLE is an electric dipole
- @param MAGNETICDIPOLE is a magnetic dipole
- */
- enum DipoleSourceType {NOSOURCETYPE, GROUNDEDELECTRICDIPOLE, UNGROUNDEDELECTRICDIPOLE, MAGNETICDIPOLE};
-
- /// Only three polarizations are supported. They may be summed to
- /// approximate others
- /// @param NOPOLARISATION is uninitialized, default value
- /// @param XPOLARISATION is a dipole oriented in the x direction
- /// @param YPOLARISATION is a dipole oriented in the y direction
- /// @param ZPOLARISATION is a dipole oriented in the z direction
- enum DipoleSourcePolarisation {NOPOLARISATION, XPOLARISATION,
- YPOLARISATION, ZPOLARISATION};
-
- /// The polarity may be either negative or positinve
- enum DipoleSourcePolarity {NEGATIVE, POSITIVE};
-
- /** The fields to make calculations on
- */
- enum FIELDCALCULATIONS {E, H, BOTH};
-
- /** Windowing function type
- */
- enum WINDOWTYPE { HAMMING, /*!< A hamming window */
- HANNING, /*!< A hanning window */
- RECTANGULAR /*!< Rectangular window */
- };
-
-
- }
-
- #endif // __Lemma_H
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