Lava flow in tubes with elliptical cross sections     

Michele Dragoni  Stefano Santini   《Journal of Volcanology and Geothermal Research》2007,160(3-4):239-248

We develop a model of lava flow in a cylindrical tube with elliptical cross section. The lava is considered an isothermal, incompressible Newtonian fluid. We solve analytically the steady-state Navier–Stokes equation under a constant driving force, given by the component of gravity along the axis of the tube and obtain the velocity and stress field components in the fluid. The ratio between the flow rate of the elliptical tube and that of a circular tube, having the same cross sectional area, is found to be always less than 1 and to depend only on the value of eccentricity. The ratio decreases rapidly when the eccentricity becomes lower than about 0.5. The average flow velocity in a partially filled tube is calculated under the assumption of constant flow rate. In an elliptical tube, the shear traction is not uniform on the wall of the tube, but changes periodically with the position. It is maximum at the intersections with the minor axis and minimum at the intersections with the major axis, the ratio between the maximum and the minimum value being equal to the ratio between the lengths of the two axes. Assuming that the erosion rate of the wall of the tube is proportional to shear traction, we calculate the erosion of the wall as a function of time and find that its effect is such as to make the tube cross section closer to the circular shape.  相似文献   

In Situ Multi-Element Analysis of the Mount Pinatubo Quartz-Hosted Melt Inclusions by NIR Femtosecond Laser Ablation-Inductively Coupled Plasma-Mass Spectrometry     

Anastassia Yu. Borisova  Rémi Freydier  Mireille Polvé  Stefano Salvi  Frederic Candaudap  Thierry Aigouy 《Geostandards and Geoanalytical Research》2008,32(2):209-229

Microscopic melt inclusions found in magmatic minerals are undoubtedly one of the most important sources of information on the chemical composition of melts. This paper reports on the successful application of near-infrared (NIR) femtosecond laser ablation (LA) - inductively coupled plasma-mass spectrometry to in situ determination of incompatible trace elements (Li, Rb, Sr, Y, Zr, Nb, Cs, Ba, REE, Ta, Th, U) and ore metals (As, Mo, Pb) in individual melt inclusions hosted in quartz from the Mount Pinatubo dacites, Philippines. The determined elements cover a concentration range of five orders of magnitude. Femtosecond LA-ICP-MS analyses of twenty-eight individual melt inclusions demonstrate the efficiency of the microanalytical technique and suggests a spectacular homogeneity of the entrapped melt, at least with respect to the following incompatible trace elements: Rb, Sr, Nb, Cs, Ba, La, Ce, Pr, Nd, Pb, Th. The analytical precision (1s) for Na, Ca, Rb, Sr, Y, Nb, Ba and LREE ranged from 3 to 20%. Comparison of trace element concentrations in Mt. Pinatubo melt inclusions determined by femtosecond LA-ICP-MS with those of melt inclusions previously analysed by secondary ion mass spectrometry analysis (SIMS) and those of matrix glasses previously determined by nanosecond LA-ICP-MS showed an agreement typically within 30–40%. The homogeneity of trace element concentrations of the Mt. Pinatubo melt inclusions and the matrix glasses is consistent with the melt inclusion origin as homogeneous rhyolitic melt that was trapped in quartz phenocrysts at the final crystallisation stages of the host adakite (dacite) magma.  相似文献   

Seismic experiments on Showa-Shinzan lava dome using firework shots     

Hiroki Miyamachi  Hidefumi Watanabe  Takeo Moriya  Hiromu Okada 《Pure and Applied Geophysics》1987,125(6):1025-1037

Seismic experiments were conducted on Showa-Shinzan, a parasitic lava dome of volcano Usu, Hokkaido, which was formed during 1943–1945 activity. Since we found that firework shots fired on the ground can effectively produce seismic waves, we placed many seismometers on and around the dome during the summer festivals in 1984 and 1985. The internal structure had been previously studied using a prospecting technique employing dynamite blasts in 1954. The measured interval velocity across the dome in 1984 ranges 1.8–2.2 km/s drastically low compared to the results (3.0–4.0 km/s) in 1954; in addition, the velocity is 0.3–0.5 km/s higher than that in the surrounding area. The variation of the observed first arrival amplitudes can be explained by geometrical spreading in the high velocity lava dome. These observations show a marked change in the internal physical state of the dome corresponding to a drop in the measured highest temperature at fumaroles on the dome from 800°C in 1947 to 310°C in 1986.  相似文献   

Role of Syn-eruptive Cooling and Degassing on Textures of Lavas from the AD 1783-1784 Laki Eruption, South Iceland     

Guilbaud  M.-N.; Blake  S.; Thordarson  T.; Self  S. 《Journal of Petrology》2007,48(7):1265-1294

The Laki eruption involved 10 fissure-opening episodes thatproduced 15·1 km³ of homogeneous quartz-tholeiite magma.This study focuses on the texture and chemistry of samples fromthe first five episodes, the most productive period of the eruption.The samples comprise pumiceous tephra clasts from early falloutdeposits and lava surface samples from fire-fountaining andcone-building activity. The fluid lava core was periodicallyexposed at the surface upon lobe breakout, and its characteristicsare preserved in glassy selvages from the lava surface. In allsamples, plagioclase is the dominant mineral phase, followedby clinopyroxene and then olivine. Samples contain <7 vol.% of euhedral phenocrysts (>100 µm) with primitivecores [An* = 100 x Ca/(Ca + Na) >70; Fo > 75; En* = 100x Mg/(Mg + Fe) >78] and more evolved rims, and >10 vol.% of skeletal, densely distributed groundmass crystals (<100µm), which are similar in composition to phenocryst rims(tephra: An*_58–67, Fo_72–78, En*_72–81; lava:An*_49–70, Fo_63–78, En_57–78). Tephra and lavahave distinct vesicularity (tephra: >40 vol. %; lava: <40vol. %), groundmass crystal content (tephra: <10 vol. %;lava: 20–30 vol. %), and matrix glass composition (tephra:5·4–5·6 wt % MgO; lava: 4·3–5·0wt % MgO). Whole-rock and matrix glass compositions define atrend consistent with liquid evolution during in situ crystallizationof groundmass phases. Plagioclase–glass and olivine–glassthermometers place the formation of phenocryst cores at 10 kmdepth in a melt with 1 wt % H₂O, at near-liquidus temperatures(1150°C). Phenocryst rims and groundmass crystals formedclose to the surface, at 10–40°C melt undercoolingand in an 10–20°C cooler drier magma (0–0·1wt % H₂O), causing an 10 mol % drop in An content in plagioclase.The shape, internal zoning and number density of groundmasscrystals indicate that they formed under supersaturated conditions.Based on this information, we propose that degassing duringascent had a major role in rapidly undercooling the melt, promptingintensive shallow groundmass crystallization that affected themagma and lava rheology. Petrological and textural differencesbetween tephra and lava reflect variations in the rates of magmaascent and the timing of surface quenching during each eruptiveepisode. That in turn affected the time available for crystallizationand subsequent re-equilibration of the melt to surface (degassed)conditions. During the explosive phases, the rates of magmaascent were high enough to inhibit crystallization, yieldingcrystal-poor tephra. In contrast, pervasive groundmass crystallizationoccurred in the lava, increasing its yield strength and causinga thick rubbly layer to form during flow emplacement. Lava selvagescollected across the flow-field have strikingly homogeneousglass compositions, demonstrating the high thermal efficiencyof fluid lava transport. Cooling is estimated as 0·3°C/km,showing that rubbly surfaced flows can be as thermally efficientas tube-fed phoehoe lavas. KEY WORDS: lava; crystallization; basalt; cooling rate; pressure; geobarometry; P–T conditions; plagioclase; degassing; Laki, Iceland  相似文献   

Pahoehoe toe dimensions, morphology, and branching relationships at Mauna Ulu, Kilauea Volcano, Hawai'i     

David A. Crown  Stephen M. Baloga 《Bulletin of Volcanology》1999,61(5):288-305

 Pahoehoe toe dimensions, morphology, and branching relationships were analyzed in flows emplaced during 1972 at Mauna Ulu, a satellitic shield on the east rift zone of Kilauea Volcano, Hawai'i. In order to characterize regions within flow fields dominated by networks of pahoehoe toes, measurements of toe length, width, thickness, and orientation were completed for 445 toes at 13 sites. Variations in site characteristics, including slope, substrate, and position in the flow field allow an evaluation of the effects of such parameters on toe dimensions. Toe surface morphology (ropy or smooth), local flow lobe position (interior or margin), and connective relationships between toes were documented in the form of detailed toe maps. These maps show the number of branches connecting a given toe to other toes in its local pahoehoe network and illustrate branching patterns. Statistical analyses of toe dimensions and comparisons of pahoehoe toe study sites and sub-populations combined with field observations, evaluation of toe maps, and qualitative examination of toe dimension size distributions show the following: (a) Although there are significant variations at a given site, toes typically have mean lengths (101 cm) greater than mean widths (74 cm) and mean widths greater than mean thicknesses (19 cm); sites that have mean widths greater than mean lengths are those with lower slopes. (b) Where significant site-to-site variations in mean values of a given toe dimension were apparent, these differences could not be directly related to site characteristics. (c) Ropy toes have significantly larger mean values of length, width, and number of branches than smooth toes, and toes with three or more branches have greater lengths, widths, and thicknesses than toes with two or fewer branches, suggesting concentration of flow in these toe types. (d) The skewness of all size distributions of toe length and width to larger values suggests that toes are transitional to larger sheets and channels, consistent with field observations; and (e) Two distinct types of branching patterns (called monolayer and centrally ridged) were observed in preserved pahoehoe flow lobes. The significant variability in measured toe dimensions at Mauna Ulu suggests that toe dimensions are influenced by numerous locally defined, random factors, and that an approach based on stochastic methods can be used to model pahoehoe flow emplacement. Received: 19 January 1998 / Accepted: 24 March 1999  相似文献   

Overview of the 1990–1995 eruption at Unzen Volcano     

Setsuya Nakada  Hiroshi Shimizu  Kazuya Ohta 《Journal of Volcanology and Geothermal Research》1999,89(1-4)

Following 198 years of dormancy, a small phreatic eruption started at the summit of Unzen Volcano (Mt. Fugen) in November 1990. A swarm of volcano-tectonic (VT) earthquakes had begun below the western flank of the volcano a year before this eruption, and isolated tremor occurred below the summit shortly before it. The focus of VT events had migrated eastward to the summit and became shallower. Following a period of phreatic activity, phreatomagmatic eruptions began in February 1991, became larger with time, and developed into a dacite dome eruption in May 1991 that lasted approximately 4 years. The emergence of the dome followed inflation, demagnetization and a swarm of high-frequency (HF) earthquakes in the crater area. After the dome appeared, activity of the VT earthquakes and the summit HF events was replaced largely by low-frequency (LF) earthquakes. Magma was discharged nearly continuously through the period of dome growth, and the rate decreased roughly with time. The lava dome grew in an unstable form on the shoulder of Mt. Fugen, with repeating partial collapses. The growth was exogenous when the lava effusion rate was high, and endogenous when low. A total of 13 lobes grew as a result of exogenous growth. Vigorous swarms of LF earthquakes occurred just prior to each lobe extrusion. Endogenous growth was accompanied by strong deformation of the crater floor and HF and LF earthquakes. By repeated exogenous and endogenous growth, a large dome was formed over the crater. Pyroclastic flows frequently descended to the northeast, east, and southeast, and their deposits extensively covered the eastern slope and flank of Mt. Fugen. Major pyroclastic flows took place when the lava effusion rate was high. Small vulcanian explosions were limited in the initial stage of dome growth. One of them occurred following collapse of the dome. The total volume of magma erupted was 2.1×10⁸ m³ (dense-rock-equivalent); about a half of this volume remained as a lava dome at the summit (1.2 km long, 0.8 km wide and 230–540 m high). The eruption finished with extrusion of a spine at the endogenous dome top. Several monitoring results convinced us that the eruption had come to an end: the minimal levels of both seismicity and rockfalls, no discharge of magma, the minimal SO₂ flux, and cessation of subsidence of the western flank of the volcano. The dome started slow deformation and cooling after the halt of magma effusion in February 1995.  相似文献   

STUDY OF THE LAVA FLOW HAZARD ZONING BASED ON THE KINEMATIC THERMO-RHEOLOGICAL MODEL:EXAMPLE STUDY FOR THE ASHIKULE VOLCANO,XINJIANG          下载免费PDF全文

PAN Bo  CHENG Tao  WAN Yuan  YU Hong-mei  XU Jian-dong 《地震地质》2017,39(4):721-734

The lava flow hazard is an important and frequent disaster for residents in the volcanic area. In this paper, we focus on the lava flow inundation hazard zoning based on the example case of the Ashikule volcano in Xinjiang, China. Firstly, the parameters of magma such as density, viscosity and temperature are calculated by the empirical formula of magma utilizing results of previous field geological survey and petrology analysis. Then, using the kinematic thermo-rheological model, we simulated the inundation area of lava flow from Ashi volcano at the effusion rates of 200m³/s and 500m³/s. The simulation results of Ashi volcano well coincide to the geological map and verify that the method and parameters are valid. Then the applied simulations were carried out to calculate the lava flow inundation area in future eruption at Ashi, Wuluke and Daheishan crater with different effusion rates. At last, according to the analysis of the applied simulation results and drawing lessons from the foreign disaster zoning method, the four-level hazard zoning was built and set with different colors. The first level with red color is the extra-dangerous zone that is always inundated in any eruption but only distributes near the lava spillway of the crater. The second level with orange color is the dangerous zone that is inundated in the medium scale eruption. The third level with yellow color is the sub-dangerous zone that is corresponding to the large eruption. The fourth level with blue color is the potential dangerous zone that is only inundated in the extra-large eruption. In addition, we put forward the suggestion to respond to and avoid the disaster in future. Although China has not been affected by the lava flow for nearly three hundred years, the prospective study in this paper will lay the foundation for the study of related disasters, and provide the reference for the major construction projects in the volcanic area.  相似文献   

The SPICE project: Calibrated cosmogenic 26Al production rates and cross-calibrated 26Al /10Be, 26Al/14C,and 26Al/21Ne ratios in quartz from the SP basalt flow,AZ, USA     

《Quaternary Geochronology》2022

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