The Digital Dahlen Papers

Digitized copies of research and class notes of F. A. Dahlen

See also The Dahlen Notebooks


A coherent course, possibly: Introductory Geophysics
Gravitational field of Earth and shape of Earth [1-10]. Doppler measurements and extrasolar planets [1-4]. The inertia tensor [1-7]. The external gravitational potential of Earth [1-6]. Precession of the equinoxes [7-9]. Centrifugal potential and the geoid [1-10, 14a-17]. The hydrostatic ellipsoid [1-16]. 00001.pdf
Heat flow at the Earth's surface [1-8]. Thermal evolution of the oceanic lithosphere [1-12]. Isostatic geoid anomalies over the oceanic lithosphere [1-30]. 00002.pdf
Seismology: introduction [1-13]. Anelasticity and damping of seismic waves [1-9]. Seismic body waves [1-24]. Seismic ray theory in spherical Earth [1-5]. The ray parameter [1-8]. The forward problem of body wave seismology [1-28]. 00003.pdf

GEO552, taught between 2000 and 2007, possibly: Theoretical Seismology
2000—"Sketchy Lecture Notes"
Lecture #1 [1-3]. Lecture #2 [1-2]. Lecture #3 [1-2]. Elastic 3-D Earth. Conservation of energy. Rayleigh's principle. Excitation [1-10]. Energy flux. Lecture #4 Normal modes [1-6]. Lecture #6. Eisner's paradox. Applications of Rayleigh's principle [1-4]. [Lecture] Spheroidal and toroidal modes. [Lecture] Distributions [1-3]. [Lecture] Point source model of an earthquake [1-5]. An example of the bfdc-clvd decomposition. Class #9. Stress glut. Double couple. Moment tensor. Radiation pattern. Centroid Moment tensor [1-10]. Class #10. Eulerian vs Lagrangian [1-9]. 00004.pdf
2007—Part I
Small oscillations [1-2]. Local energy conservation law [1-9]. Day 2 review [1 3]. Rayleigh's principle [10-12]. Violin string [1-5]. Class #3 [1-2] 4th lecture [1]. 5th class [1-2]. Rayleigh's principle [1-14]. Local energy conservation law. 00005.pdf
2007—Part II
Free Oscillations and Surface Waves [1-3]. Hamilton's principle [4-9]. Green's tensor [10-11]. Response to a transient force [12-14]. Rayleigh-Ritz method [14.1-14.4]. Seismic source representation [15-18]. Moment tensor [19]. Earthquake fault source [20-30]. Anelasticity and Attenuation [31-33]. Harmonic variations [34-35]. Energy dissipation and [the frequency-dependent quality factor] [36-37]. Relaxation spectrum [38-45]. Attenuation of normal modes [46-48]. Normal modes of a SNREI Earth [49-63]. Mode-ray duality [64-73]. Asymptotic toroidal eigenfunctions [73-74]. Normal mode excitation on a SNREI Earth [86-91]. Decomposition into travelling surface waves [92-106]. 00006.pdf
2007—Part III
Spherical harmonics [152-256]. 00007.pdf
2007—A loose note
Plane wave, bulk and shear modulus. PKIKP mode. Radial mode: homogeneous sphere. 00008.pdf

GEO225, as taught between 1996 and 2004: Earth, the Physical Environment
Organization 00067.pdf
[Lecture] Population growth [1-18] 00009.pdf
[Handout] Population growth 00010.pdf
[Lecture] Maximum sustainable population [1-14] 00011.pdf
[Handout] Maximum sustainable population 00012.pdf
[Lecture] Fossil fuels [1-20] 00013.pdf
[Handout] Fossil fuels 00014.pdf
[Lecture] Temperature of the Earth. The greenhouse effect [1-17] 00015.pdf
[Handout] Earth's surface temperature 00016.pdf
[Lecture] Global warming [1-18] 00017.pdf
[Handout] Global warming 00018.pdf
[Lecture] Alternative energy sources [1-33] 00019.pdf
[Handout] Alternative energy sources 00020.pdf
Miscellany 00021.pdf

Earthquake hazard 00022.pdf
Stream discharge (I) 00023.pdf
Stream discharge (II) 00024.pdf
Erosion rate 00025.pdf
What controls erosion rates? 00051.pdf
Stream sediment transport 00026.pdf
Erosion, transport, and deposition 00052.pdf
Water in the solar system 00027.pdf
Water on Earth and in the Solar System 00053.pdf
Water reservoirs and fluxes 00028.pdf
Reservoirs and fluxes of water on the Earth 00054.pdf
Two case studies: Taiwan and Yellow River 00029.pdf
Taiwan — a case study 00055.pdf
Landsliding 00030.pdf
Landslides 00056.pdf
Sediment-budget analysis of the Indus Fan 00031.pdf
Oceans — the sediment graveyard 00032.pdf
Chemical erosion: why is the ocean salty? 00064.pdf

From a course taught between 1973-1979: Fundamentals of Continuum Mechanics
Introductory remarks [1-8]. Review of mathematical tools [9-19]. Kinematics of a continuum [1-14]. Dynamics of a continuum [20-53]. 00075.pdf
Angular momentum density [54-69]. The law of conservation of energy [70-77]. The total energy equation [78-81]. The internal energy equation [82-88]. 00080.pdf
The Second Law of thermodynamics [101-107]. Boundary conditions [89-99]. 00081.pdf
Summarizing Eulerian conservation laws [1-14]. 00082.pdf
Rigid heat conducting bodies. 00083.pdf
The motion of a rigid body [270-297]. 00084.pdf
The linearized theory of elasticity [281-368] 00079.pdf
Problems 00033.pdf
Solutions 00034.pdf
Vertical soap film 00085.pdf
Problem set 4 00086.pdf

Fluid Mechanics
II. The mechanics of fluids (non-viscous) 00087.pdf
III. Viscous fluids 00088.pdf

GFD506, as taught in the mid seventies, probably: Four Lectures on Tides
Four Lectures on tides 00035.pdf

GEO225, as taught around the turn of the century
Organization 00036.pdf
Organization 00036.pdf
Lecture #1. Earth — Third rock from the Sun [1-21] 00037.pdf
Size and shape of the Earth — "Third rock from the Sun" 00057.pdf
Bulk composition of the Earth [1-15] 00038.pdf
Chemical composition of the Earth — what is it made of? 00058.pdf
Nucleosynthesis — The origin of the elements [1-19] 00039.pdf
Nucleosynthesis — The origin of the elements 00059.pdf
Minerals — The building blocks of rocks [1-13] 00040.pdf
Diamonds are a girl's best friends 00041.pdf
The age of the Earth — NOT! 00042.pdf
The age of the Earth — NOT! 00060.pdf
Radioactive decay — Carbon dating 00043.pdf
Radioactive decay 00061.pdf
K-Ar and Rb-Sr geochronology — The age of the Earth 00044.pdf
K-Ar dating 00062.pdf
Heat flow 00045.pdf
Heat 00063.pdf
The oceanic lithosphere 00046.pdf
Earthquakes and earth structure 00047.pdf
Seismometry and earthquake locations(s) 00048.pdf
Week 5 Lecture #3. Earthquake focal mechanisms(s) [1-10] 00049.pdf
Plate tectonics 00050.pdf
1906 San Francisco earthquake 00065.pdf
Suppe's 201 handout Fall 2001 00066.pdf

GEO219, as taught in 1991-1992: Introduction to Geophysics
Mathematical concepts. Gravity. Isostasy. Heat flow. 00068.pdf
Artifical source techniques. Seismometers. Wiechert-Herglotz inversion. The use of travel time residuals to study geographical variability. Determination of Earth's density. 00069.pdf

GEO539, as taught in 1971: Mechanics of the Earth
Review of linear algebra. Spherical harmonics. 00070.pdf

Surface Waves
Introduction. Surface waves in arbitrary layered structures. Amplitudes. The excitation of surface waves: group velocity. Summary of observed surface wave dispersion. Phase velocities. Water waves. 00071.pdf
A special lecture on surface gravity waves [1-4]. The linearized problem [5-20]. Dispersive waves [1-13]. Steady waves in moving fluids. Ship waves [14-22]. 00089.pdf

Earthquakes and Faulting
Earthquakes as point sources. Earthquake mechanics. 00072.pdf
Mechanics of faulting. 00073.pdf

The Tides and Rotation
Earth tides and ocean tides. The tidal potential. The equilibrium tide. Tidal prediction. Response of the solid Earth: Love numbers. Kelvin and Darwin's determination of the rigidity of the Earth. Tidal gravimetry and ocean loading. Co-tidal charts and numerical models. 00074.pdf
Tidal friction and the Earth-Moon system. 00076.pdf
Rotation of the Earth. 00077.pdf
Theory of the Earth's wobble. 00078.pdf

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