A review of applications of fractional calculus in Earth system dynamics

Y Zhang, HG Sun, HH Stowell, M Zayernouri… - Chaos, Solitons & …, 2017 - Elsevier
Fractional calculus has been used to model various hydrologic processes for 15 years. Yet,
there are still major gaps between real-world hydrologic dynamics and fractional-order …

Time scales of magmatic processes from modeling the zoning patterns of crystals

F Costa, R Dohmen… - Reviews in Mineralogy …, 2008 - pubs.geoscienceworld.org
The advent of polarized light microscopy in the middle of the 19th century allowed
mineralogists and petrologists interested in igneous rocks to recognize the widespread …

Monogenetic basaltic volcanoes: genetic classification, growth, geomorphology and degradation

G Kereszturi, K Németh - Updates in volcanology-new advances …, 2012 - books.google.com
Plate motion and associated tectonics explain the location of magmatic systems along plate
boundaries [1], however, they cannot give satisfactory explanations of the origin of intraplate …

Rapid magma ascent recorded by water diffusion profiles in mantle olivine

S Demouchy, SD Jacobsen, F Gaillard… - …, 2006 - pubs.geoscienceworld.org
Mechanisms and rates of magma ascent play a critical role in eruption dynamics but remain
poorly constrained phenomena. Water, dissolved in mantle minerals as hydrogen and …

Processes and time scales of magmatic evolution as revealed by Fe–Mg chemical and isotopic zoning in natural olivines

M Oeser, R Dohmen, I Horn, S Schuth… - … et Cosmochimica Acta, 2015 - Elsevier
In this study, we applied high-precision in situ Fe and Mg isotope analyses by femtosecond
laser ablation (fs-LA) MC-ICP-MS on chemically zoned olivine xeno-and phenocrysts from …

Short time scales of magmatic assimilation from diffusion modeling of multiple elements in olivine

F Costa, M Dungan - Geology, 2005 - pubs.geoscienceworld.org
Open-system processes have a large capacity to modify magma compositions during
differentiation. Obtaining the rates of such processes is essential to understanding and …

Decadal time gaps between mafic intrusion and silicic eruption obtained from chemical zoning patterns in olivine

F Costa, S Chakraborty - Earth and planetary science letters, 2004 - Elsevier
Intrusion of mafic magma in a silicic crustal reservoir has been reported in numerous studies
of subduction-related volcanoes and is considered a main process for triggering explosive …

Time constraints from chemical equilibration in magmatic crystals

F Costa, D Morgan - … of magmatic processes: from core to …, 2010 - Wiley Online Library
The timescales of magmatic processes are some of the main physical variables that are still
poorly-constrained in igneous petrology. This hinders our ability to quantify the rates at …

The Quaternary volcanic fields of the east and west Eifel (Germany)

HU Schmincke - Mantle plumes: A multidisciplinary approach, 2007 - Springer
The two Quaternary volcanic fields in the Eifel region of Germany (West Eifel Volcanic Field-
WEVF; East Eifel Volcanic Field-EEVF) resemble each other in their temporal, spatial …

Two Distinct Metasomatized Mantle Sources Produced Two Groups of Alkaline SiO2-Undersaturated Rocks in the Southern Central European Volcanic Province

T Binder, MAW Marks, BF Walter, T Wenzel… - Journal of …, 2024 - academic.oup.com
Abstract Upper Cretaceous–Miocene alkaline SiO2-undersaturated volcanic rocks in the
southern Central European Volcanic Province (CEVP) comprise two distinct rock series:(i) …