The discrete Hurst range for skew independent two-valued inflows

A new theoretical interpretation is proposed for Hurst's empirical law which is applicable to discrete-valued inflows and is consistent with the existing interpretation for continuous-valued inflows. This is applied to independent net inflows {X _r} having values +1 and –1 with unequal probabilities. With the aid of a new result on the exchangeability of symmetrically conditioned exchangeable variables, values of the resulting range are obtained and tabulated. It is found that the effect of skewness is very slight for skewness values between (about) 3 and –3, and that Hurst's own approximation, the conditioned range, is remarkably accurate.     

The last interglacial ocean

The final effort of the CLIMAP project was a study of the last interglaciation, a time of minimum ice volume some 122,000 yr ago coincident with the Substage 5e oxygen isotopic minimum. Based on detailed oxygen isotope analyses and biotic census counts in 52 cores across the world ocean, last interglacial sea-surface temperatures (SST) were compared with those today. There are small SST departures in the mid-latitude North Atlantic (warmer) and the Gulf of Mexico (cooler). The eastern boundary currents of the South Atlantic and Pacific oceans are marked by large SST anomalies in individual cores, but their interpretations are precluded by no-analog problems and by discordancies among estimates from different biotic groups. In general, the last interglacial ocean was not significantly different from the modern ocean. The relative sequencing of ice decay versus oceanic warming on the Stage 6/5 oxygen isotopic transition and of ice growth versus oceanic cooling on the Stage 5e/5d transition was also studied. In most of the Southern Hemisphere, the oceanic response marked by the biotic census counts preceded (led) the global ice-volume response marked by the oxygen-isotope signal by several thousand years. The reverse pattern is evident in the North Atlantic Ocean and the Gulf of Mexico, where the oceanic response lagged that of global ice volume by several thousand years. As a result, the very warm temperatures associated with the last interglaciation were regionally diachronous by several thousand years. These regional lead-lag relationships agree with those observed on other transitions and in long-term phase relationships; they cannot be explained simply as artifacts of bioturbational translations of the original signals.     

The joint effect of rank and grain size on the flotation of Australian bituminous coals

Laboratory batch flotation tests were carried out to determine the effect of grain size on the recovery of four Australian bituminous coals of high and low rank. The flotation concentrates, taken over successive time intervals, and the tailings, were sized and the recovery-size curves plotted. A method was developed for determining the proportions of liberated and composite grains in the various flotation products. Flotation tests were carried out in the presence of methylisobutylcarbinol (MIBC) and MIBC + kerosene. The shapes of the recovery-size curves depended on the rank of the coal and whether or not kerosene was present. The variation of the recovery with size was explained in terms of the joint effect of rank and size on the floatability of composite grains.     

Dating fluvial terraces by Th/U on pedogenic carbonate, Wind River Basin, Wyoming

Reliable and precise ages of Quaternary pedogenic carbonate can be obtained with ²³⁰Th/U dating by thermal ionization mass spectrometry applied to carefully selected milligram-size samples. Datable carbonate can form within a few thousand years of surface stabilization allowing ages of Quaternary deposits and surfaces to be closely estimated. Pedogenic carbonate clast-rinds from gravels of glacio-fluvial terraces in the Wind River Basin have median concentrations of 14 ppm U and 0.07 ppm ²³²Th, with median (²³⁰Th/²³²Th) = 270, making them well suited for ²³⁰Th/U dating. Horizons as thin as 0.5 mm were sampled from polished slabs to reduce averaging of long (≥10⁵ yr), and sometimes visibly discontinuous, depositional histories. Dense, translucent samples with finite ²³⁰Th/U ages preserve within-rind stratigraphic order in all cases. Ages for terraces WR4 (167,000 ± 6,400 yr) and WR2 (55,000 ± 8600 yr) indicate a mean incision rate of 0.26 ± 0.05 m per thousand years for the Wind River over the past glacial cycle, slower than inferred from cosmogenic-nuclide dating. Terrace WR3, which formed penecontemporaneously with the final maximum glacial advance of the penultimate Rocky Mountain (Bull Lake) glaciation, has an age of 150,000 ± 8300 yr indicating that it is broadly synchronous with the penultimate global ice volume maximum.     

Analytical prediction of seismic behaviour for concentrically-braced steel systems

This paper presents an analytical model for the inelastic response analysis of braced steel structures. A model is first presented for the behaviour of steel struts subjected to cyclic axial load, which combines the analytical formulation of plastic hinge behaviour with empirical formulas developed on the basis of experimental data. The brace is modelled as a pin-ended member, with a plastic hinge located at the midspan. Braces, with other end conditions, are handled using the effective length concept. Step-wise regression analysis is employed, to approximate the plastic conditions for the steel UC section. Verification of the brace model is performed on the basis of quasi-static analyses of individual struts and a one-bay one-storey X-braced steel frame. The comparison of analytical and experimental data has confirmed that the proposed brace model is able to accurately simulate the cyclic inelastic behaviour of steel braces and braced systems. A series of dynamic analyses has been performed on two-storey V- and X-braced frames to study the influence of brace slenderness ratio on the inelastic response, and to look at the redistribution of forces in the post-buckling range of behaviour of CBFs. Recommendations have been made as to the estimation of maximum storey drifts for concentrically-braced steel frames in major seismic event. © 1997 John Wiley & Sons, Ltd.     

Hydraulic Tomography: 3D Hydraulic Conductivity,Fracture Network,and Connectivity in Mudstone

We present the first demonstration of hydraulic tomography (HT) to estimate the three-dimensional (3D) hydraulic conductivity (K) distribution of a fractured aquifer at high-resolution field scale (HRFS), including the fracture network and connectivity through it. We invert drawdown data collected from packer-isolated borehole intervals during 42 pumping tests in a wellfield at the former Naval Air Warfare Center, West Trenton, New Jersey, in the Newark Basin. Five additional tests were reserved for a quality check of HT results. We used an equivalent porous medium forward model and geostatistical inversion to estimate 3D K at high resolution (K blocks <1 m³), using no strict assumptions about K variability or fracture statistics. The resulting 3D K estimate ranges from approximately 0.1 (highest-K fractures) to approximately 10⁻¹³ m/s (unfractured mudstone). Important estimated features include: (1) a highly fractured zone (HFZ) consisting of a sequence of high-K bedding-plane fractures; (2) a low-K zone that disrupts the HFZ; (3) several secondary fractures of limited extent; and (4) regions of very low-K rock matrix. The 3D K estimate explains complex drawdown behavior observed in the field. Drawdown tracing and particle tracking simulations reveal a 3D fracture network within the estimated K distribution, and connectivity routes through the network. Model fit is best in the shallower part of the wellfield, with high density of observations and tests. The capabilities of HT demonstrated for 3D fractured aquifer characterization at HRFS may support improved in situ remediation for contaminant source zones, and applications in mining, repository assessment, or geotechnical engineering.     

Density‐Driven Free‐Convection Model for Isotopically Fractionated Geogenic Nitrate in Sabkha Brine

Subsurface brines with high nitrate (NO₃^?) concentration are common in desert environments as atmospheric nitrogen is concentrated by the evaporation of precipitation and little nitrogen uptake. However, in addition to having an elevated mean concentration of ～525 mg/L (as N), NO₃^? in the coastal sabkhas of Abu Dhabi is enriched in ¹⁵N (mean δ¹⁵N ～17‰), which is an enigma. A NO₃^? solute mass balance analysis of the sabkha aquifer system suggests that more than 90% of the nitrogen is from local atmospheric deposition and the remainder from ascending brine. In contrast, isotopic mass balances based on Δ¹⁷O, δ¹⁵N, and δ¹⁸O data suggest approximately 80 to 90% of the NO₃^? could be from ascending brine. As the sabkha has essentially no soil, no vegetation, and no anthropogenic land or water use, we propose to resolve this apparent contradiction with a density‐driven free‐convection transport model. In this conceptual model, the density of rain is increased by solution of surface salts, transporting near‐surface oxygenated NO₃^? bearing water downward where it encounters reducing conditions and mixes with oxygen‐free ascending geologic brines. In this environment, NO₃^? is partially reduced to nitrogen gas (N₂), thus enriching the remaining NO₃^? in heavy isotopes. The isotopically fractionated NO₃^? and nitrogen gas return to the near‐surface oxidizing environment on the upward displacement leg of the free‐convection cycle, where the nitrogen gas is released to the atmosphere and new NO₃^? is added to the system from atmospheric deposition. This recharge/recycling process has operated over many cycles in the 8000‐year history of the shallow aquifer, progressively concentrating and isotopically fractionating the NO₃^?.     

Sources of dissolved solids and water in Wadi Al Bih aquifer,Ras Al Khaimah Emirate,United Arab Emirates

Regional brines that underlie the potable groundwater appear to be responsible for the increase in dissolved solids in the Wadi Al Bih aquifer in the Ras Al Khaimah Emirate, United Arab Emirates. In this karstic carbonate aquifer, groundwater extraction exceeds recharge and the reduced heads can induce transport of underlying brines into the potable water aquifer. Increasing dissolved solids with time threatens the continued use of groundwater for agricultural and domestic uses. The potential of intrusion of seawater, dissolution of minerals, or intrusion of regional brines as a source of these solutes were evaluated based on groundwater samples collected in April and September 1996 from the Wadi Al Bih well field and isotope data from previously collected samples. Hydrogeologic conditions and solute modeling suggest the dominant source of solutes in the Wadi Al Bih aquifer is most likely an underlying regional brine. The pervasive presence of tritium is consistent with recent (since 1960s) recharge in the drainage basin, thus, the solutes and water appear to be from different sources. The chemical and isotopic data are also consistent with enhanced groundwater recharge associated with dams constructed to reduce flooding.

---

Résumé Dans l’aquifère de Wadi Al Bih, dans l’Emirat de Ras Al Khaimah (Emirats Arabes Unis), les eaux sursalées présentes sous les eaux souterraines potables paraissent responsables de l’augmentation en solides dissous. Dans cet aquifère carbonaté karstique, l’exploitation des eaux souterraines est supérieure à la recharge, et la baisse des niveaux piézométriques peut engendrer une remontée des eau sursalées vers la ressource en eau potable. L’augmentation des solides dissous dans le temps met en danger la pérennité de l’utilisation des eaux souterraines pour l’agriculture et les besoins domestiques. Les potentiels de l’intrusion d’eau de mer, de la dissolution des minéraux et de l’intrusion d’eaux sursalées régionales en tant que sources de ces solutés ont été évalués sur la base d’échantillons prélevés en avril 1996 sur le champ captant de Wadi Al Bih, et de données isotopiques acquises antérieurement. Les conditions hydrogéologiques et les modélisations de solutés suggèrent que la source majeure des solutés la plus vraisemblable est une eau sursalée sous-jacente à l’échelle régionale, dans le cas de l’aquifère de Wadi Al Bih. L’omniprésence du tritium concorde avec une réalimentation récente (depuis les années 1960) sur le bassin versant, c’est pourquoi l’eau et les solutés paraissent provenir de sources différentes. Les données chimiques et isotopiques concordent également avec une réalimentation accrue des eaux souterraines, liée à la construction récente de digues pour réduire les inondations.

---

Resumen El incremento de sólidos disueltos en el acuífero Wadi Al Bih, en el Emirato Ras Al Khaimah, Emiratos árabes Unidos, parece deberse a la existencia de salmueras regionales, subyacentes a las aguas subterráneas potables. En este acuífero carbonatado kárstico, la extracción de agua subterránea supera la recarga y el descenso de niveles puede provocar el transporte de las salmueras hacia las aguas potables del acuífero. El incremento temporal en sólidos disueltos amenaza el uso continuo de agua subterránea para usos agrícolas y domésticos. Se ha evaluado el potencial de intrusión marina, disolución de minerales o intrusión de salmueras regionales como una fuente de estos solutos, a partir de muestras de agua subterránea recogidas en abril y septiembre de 1996 en el campo de pozos de Wadi Al Bih y de datos isotópicos de muestreos anteriores. Las condiciones hidrogeológicas y el modelo de solutos sugiere que la fuente dominante de solutos en el acuífero Wadi Al Bih son probablemente las salmueras subyacentes. Los datos químicos e isotópicos son también consistentes con un aumento de la recarga de agua subterránea asociado con la construcción de presas para reducir inundaciones.