Seismicity in the U.S. midcontinent has increased by orders of magnitude over the past decade. Spatiotemporal correlations of seismicity to wastewater injection operations have suggested that injection-related pore fluid pressure increases are inducing the earthquakes. We present direct evidence linking earthquake occurrence to pore pressure increase in the U.S. midcontinent through time-lapse ...

Consider a hypergraph H d n where the vertices are points of the d-dimensional combinatorial cube n d and the edges are all sets of n points such that they are in one line. We study the structure of the group of automorphisms of H d n , i.e., permutations of points of n d preserving the edges. In this paper we provide a complete characterization. Moreover, we consider the Colored Cube Isomorphi...

In this paper we show a lower bound for the generalization of Heilbronn’s triangle problem to d dimensions; namely, we show that there exists a set S of n points in the d-dimensional unit cube so that every d + 1 points of S define a simplex of volume Ω( 1 nd ). We also show a constructive incremental positioning of n points in a unit 3-cube for which every tetrahedron defined by four of these ...

A 36× enlarged triply periodic porous cube of photocured polymer, 60 millimeters in total length, shown refl ected off a pool of uncured resin. Computer-aided design makes it possible to tailor materials with control over porosity, pore size, and mechanical properties. These materials may subsequently fi nd use as scaffolds for tissue engineering and cell-laden hydrogel constructs. See the spec...

Define a cubical complex to be a collection of integer-aligned unit cubes in d dimensions. Lebowitz and Mazel (1998) proved that there are between (C1d) and (C2d) complexes containing a fixed cube with connected boundary of (d − 1)volume n. In this paper we narrow these bounds to between (C3d) and (C4d). We also show that there are nn/(2d(d−1))+o(1) connected complexes containing a fixed cube w...

The d-dimensional Goldfarb cube is a polytope with the property that all its 2 vertices appear on some shadow of it (projection onto a 2-dimensional plane). The Goldfarb cube is the solution set of a system of 2d linear inequalities with at most 3 variables per inequality. We show in this paper that the d-dimensional Klee-Minty cube — constructed from inequalities with at most 2 variables per i...

the goal of this laboratory study is to investigate the effect of pore shapes on seismic wave velocities in carbonate rocks under reservoir conditions. in this research, 41 core plugs of carbonate rocks from oil fields of the southwest of iran were prepared. the compressional and shear wave velocities were measured in both dry and brine saturated samples under several pressures especially reser...