Stress Inversion Using LiDAR Tunnel Deformation Measurements

Far-field stresses are those present in a volume of rock prior to excavations being created. Estimates of the orientation and magnitude of far-field stresses, often used in mine design, are generally obtained by single-point measurements of stress, or large-scale, regional trends. Point measurements can be a poor representation of far-field stresses as a result of excavation-induced stresses and geological structures. For these reasons, far-field stress estimates can be associated with high levels of uncertainty. The purpose of this thesis is to investigate the practical feasibility, applications, and limitations of calibrating far-field stress estimates through tunnel deformation measurements captured using LiDAR imaging. A method that estimates the orientation and magnitude of excavation-induced principal stress changes through back-analysis of deformation measurements from LiDAR imaged tunnels was developed and tested using synthetic data. If excavation-induced stress change orientations and magnitudes can be accurately estimated, they can be used in the calibration of far-field stress input to numerical models. LiDAR point clouds have been proven to have a number of underground applications, thus it is desired to explore their use in numerical model calibration. The back-analysis method is founded on the superposition of stresses and requires a two-dimensional numerical model of the deforming tunnel. Principal stress changes of known orientation and magnitude are applied to the model to create calibration curves. Estimation can then be performed by minimizing squared differences between the measured tunnel and sets of calibration curve deformations. In addition to the back-analysis estimation method, a procedure consisting of previously existing techniques to measure tunnel deformation using LiDAR imaging was documented. Under ideal conditions, the back-analysis method estimated principal stress change orientations within ±5° and magnitudes within ±2 MPa. Results were comparable for four different tunnel profile shapes. Preliminary testing using plastic deformation, a rough tunnel profile, and profile occlusions suggests that the method can work under more realistic conditions. The results from this thesis set the groundwork for the continued development of a new, inexpensive, and efficient far-field stress estimate calibration method.

Heightened maternal inflammation is linked to placental oxidative and nitrosative stress associated with fetal growth restriction in the rat

Deficient trophoblast invasion and spiral artery remodeling are associated with pregnancy complications such as pre-eclampsia (PE) and fetal growth restriction (FGR). Using a model in which pregnant Wistar rats are given daily, low-dose, injections of bacterial lipopolysaccharide (LPS; 10 – 40 µg/kg) on gestational days (GD) 13.5 – 16.5, our group has shown that abnormal maternal inflammation is causally linked to shallow trophoblast invasion, deficient spiral artery remodeling, and altered utero-placental hemodynamics leading to FGR/PE; these alterations were shown to be mediated by TNF-a. The present research evaluated certain consequences of decreased placental perfusion; this was accomplished by examining placental alterations indicative of decreased placental perfusion. Additionally, the role of glyceryl trinitrate (GTN) was determined as a potential therapeutic to prevent the consequences of decreased placental perfusion. Results indicated that dams experiencing heightened maternal inflammation showed significantly greater expression of hypoxia-inducible factor-1a (HIF-1a) and nitrotyrosine, both of which are markers of decreased perfusion and oxidative/nitrosative stress. Contrary to expectations, inflammation did not appear to affect nitric oxide (NO) bioavailability, as revealed by a lack of change in placental or plasma levels of cyclic guanosine monophosphate (cGMP). However, continuous transdermal administration of GTN (25 µg/hr) on GD 12.5 – 16.5 prevented the accumulation of HIF-1a and nitrotyrosine in placentas from LPS-treated rats. These results support the concept that maternal inflammation contributes to placental hypoxia and oxidative/nitrosative stress. Additionally, they indicate that GTN has potential applications in the treatment and/or prevention of pregnancy complications associated with abnormal maternal inflammation.

Dynamical Equations For The Period Vectors In A Periodic System Under Constant External Stress

The purpose of this paper is to derive the dynamical equations for the period vectors of a periodic system under constant external stress. The explicit starting point is Newton’s second law applied to halves of the system. Later statistics over indistinguishable translated states and forces associated with transport of momentum are applied to the resulting dynamical equations. In the final expressions, the period vectors are driven by the imbalance between internal and external stresses. The internal stress is shown to have both full interaction and kinetic-energy terms.