A Quantitative Comparison of Some Mechanisms Generating Overpressure in Sedimentary Basins
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Darcy's Law Laboratory 2 HWR 531/431
Darcy's Law Darcy's Law Laboratory 2 HWR 531/431 2-1 Darcy's Law Introduction In 1856, Henry Darcy, a French hydraulic engineer, published a report in which he described a series of experiments he had performed in an attempt to quantify the amount of water that would flow through a column of sand. The experimental apparatus used was similar to the one displayed below. Figure 1: Experimental apparatus for the illustration of Darcy's Law. (Adapted from Freeze, R.A. and Cherry, J.A., 1979) This was the first systematic study of the movement of water through a porous medium. In this setup, water is introduced to a soil column at a constant rate Q. Water exits the column at the same rate Q, creating a steady-state flow regime. Fluid pressure is measured at two points on the column, separated by a column distance Dl and a vertical distance (z1-z2). The results of Darcy's experiments indicated that the rate at which a fluid moves through a porous medium (Q) is proportional to the difference in hydraulic head of the water along the column and the characteristics of the porous medium and the column length This relationship is known as Darcy's law: dh Q = -KA dl the parameters of this equation are listed in Table 1 below: 2-2 Darcy's Law Parameter Symbol Dim Definition Discharge Q [L3/T] the amount of fluid flowing past a point per unit time Saturated K [L/T] a coefficient of proportionality describing the rate at which a Hydraulic fluid can move through a permeable medium, dependant Conductivity upon the density and viscosity of the fluid as well as the intrinsic permeability of the aquifer material. -
Glossary of Terms
Glossary of terms Item Definition Adsorption Attraction and adhesion of ions from an aqueous solution to the surface of solids. AHD Australian Height Datum. Alluvial Of, or pertaining to, material transported by water. Alluvium Sediments deposited by, or in conjunction with, running water in rivers, streams or sheet wash and in alluvial fans. ANZECC Guidelines Australian and New Zealand Environment and Conservation Council's Guidelines for Fresh and Marine Water Quality 2000. Analytical Model Provides exact or approximate mathematical solution to a differential equation (and associated initial and boundary conditions) for subsurface water movement/transport. Anisotropy Conditions where one or more hydraulic properties of an aquifer vary with direction (see Isotropy). Anticline Fold convex upward or had such an attitude at some stage of development. In simple anticlines, beds are oppositely inclined while in more complex types limbs may dip in the same direction. Some anticlines are so complicated as to have no simple definition. Others may be defined as folds with older rocks toward the centre of curvature, providing the structural history is not unusually complex. Appraisal Well CSG well drilled for long-term production testing. Stand-alone or part of a pilot program and may become a development well. Aquiclude Geologic formation which may contain water (sometimes in appreciable quantities) but is incapable of transmitting fluids under ordinary field conditions. Aquifer (a) Consolidated or unconsolidated geologic unit (material, stratum, or formation) or set of connected units yielding significant quantities of suitable quality water to wells or springs in economically usable amounts. Types of aquifers include: • Confined (or artesian) – Aquifer overlain by confining layer or aquitard (layer of low permeability) that restricts water's upward movement. -
Darcy Tools Version 3.4 – User's Guide
Darcy Tools versionDarcy 3.4 Tools – User’s Guide R-10-72 Darcy Tools version 3.4 User’s Guide Urban Svensson, Computer-aided Fluid Engineering AB Michel Ferry, MFRDC, Orvault, France December 2010 Svensk Kärnbränslehantering AB Swedish Nuclear Fuel and Waste Management Co Box 250, SE-101 24 Stockholm Phone +46 8 459 84 00 R-10-72 CM Gruppen AB, Bromma, 2011 CM Gruppen ISSN 1402-3091 Tänd ett lager: SKB R-10-72 P, R eller TR. Darcy Tools version 3.4 User’s Guide Urban Svensson, Computer-aided Fluid Engineering AB Michel Ferry, MFRDC, Orvault, France December 2010 This report concerns a study which was conducted for SKB. The conclusions and viewpoints presented in the report are those of the authors. SKB may draw modified conclusions, based on additional literature sources and/or expert opinions. A pdf version of this document can be downloaded from www.skb.se. Preface The User’s Guide for DarcyTools V3.4 is intended to assist new and experienced users of DarcyTools. The Guide is far from complete and it has not been the ambition to write a manual that answers all questions a user may have. The objectives of the Guide can be stated as follows: – Give an overview of the code structure and how DarcyTools is used. – Get familiar with the “Compact Input File”, which is the main way to specify input data. – Get familiar with the “Fortran Input File”, which is the more advanced way to specify input data. R-10-72 3 Contents 1 Introduction 7 1.1 Background 7 1.2 Objective 7 1.3 Intended use and user 7 1.4 Outline 8 2 What DarcyTools does 9 2.1 -
Introduction to Reservoir Simulation As Practiced in Industry
Introduction to Reservoir Simulation as Practiced in Industry Knut{Andreas Lie SINTEF Digital, Mathematics and Cybernetics / Department of Mathematical Sciences, NTNU, Norway Computational Issues in Oil Field Applications Tutorials March 21{24, 2017, IPAM, UCLA 1 / 52 Petroleum reservoirs Naturally occurring flammable liquid/gases found in geological formations I Originating from organic sediments that have been compressed and 'cooked' to form hydrocarbons that migrated upward in sedimentary rocks until limited by a trapping structure I Found in shallow reservoirs on land and deep under the seabed I Only 30% of the reserves are 'conventional'; remaining 70% include shale oil and gas, heavy oil, extra heavy oil, and oil sands. Uses of (refined) petroleum: I Fuel (gas, liquid, solid) I Alkenes manufactured into plastics and compounds I Lubricants, wax, paraffin wax I Pesticides and fertilizers for Johan Sverdrup, new Norwegian 'elephant' discovery, 2011. agriculture Expected to be producing for the next 30+ years 2 / 52 Production processes Gas Oil Caprock Aquifer w/brine Primary production { puncturing the 'balloon' When the first well is drilled and opened for production, trapped hydrocarbon starts flowing toward the well because of over-pressure 3 / 52 Production processes Gas injection Gas Oil Water injection Secondary production { maintaining reservoir flow As pressure drops, less hydrocarbon is flowing. To maintain pressure and push more profitable hydrocarbons out, one starts injecting water or gas into the reservoir, possibly in an alternating fashion from the same well. 3 / 52 Production processes Gas injection Gas Oil Water injection Enhanced oil recovery Even more crude oil can be extracted by gas injection (CO2, natural gas, or nitrogen), chemical injection (foam, polymer, surfactants), microbial injection, or thermal recovery (cyclic steam, steam flooding, in-situ combustion), etc. -
Chapter 4 Volumetric Flux
Chapter 4 Volumetric Flux We have so far talked about Darcy's law as if it was one of the fundamental laws of nature. Here we will first describe the original experiment by Darcy in 1856. We will then generalize to cases where the flow is in more than one dimension. Finally we will identify common cases when the displacement does not follow Darcy's law. Darcy's Experiment (Bear 1972) In 1856, Henry Darcy investigated the flow of water in vertical homogeneous sand filters in connection with the fountains of the city of Dijon, France. Fig. 4.1 shows the experimental set-up he employed. From his experiments, Darcy concluded that the rate of flow (volume per unit time) q is (a) proportional to the constant cross- sectional area A, (b) proportional to (h1 - h2), and inversely proportional to the length L. When combined, these conclusions give the famous Darcy formula: qKAhh=−() L 12 Fig. 4.1 Darcy's experiment (Bear 1972) where K is the hydraulic conductivity. The pressure drop across the pack was measured by the height of the water levels in the manometer tubes. This difference in water levels is known as the hydraulic or piezometric head across the pack and is expressed in units of length rather than units of pressure. It is a measure of the departure from hydrostatic conditions across the pack. Flow Potential The hydraulic head was convenient when pressures were measured by manometers or standpipes and only one fluid is flowing. It is more useful for multidimensional, multiphase fluid flow to define a flow potential for each phase. -
Darcy's Law and the Field Equations of the Flow of Underground Fluids
E DARCY'S LAW and the FIELD EQUATIONS of the FLOW of UNDERGROUND FLUIDS Downloaded from http://onepetro.org/TRANS/article-pdf/207/01/222/2176441/spe-749-g.pdf by guest on 01 October 2021 M. KING HUBBERT SHELL DEVELOPMENT CO. }AEMBER A/ME HOUSTON, TEXAS T. P. 4352 ABSTRACT by direct derivation from the Navier-Stokes equation of motion of viscous fluids. We find in this manner In 1856 Henry Darcy described in an appendix to his that: book, Les Fontaines Publiques de la Ville de Dijon, q - (Nd') (P/fL)[g - (l/p) grad p] = (TE, a series of experiments on the downward flow of water through filter sands, whereby it was estahlished that is a physical expression for Darcy's law, which is valid the rate of flow is given by the equation: for liquids generally, and for gases at pressures higher than about 20 atmospheres. Here N is a shape factor q = - K (h, - h,) /1, and d a characteristic length of the pore structure of in which q is the volume of water crossing unit area in the solid, P and fL are the density and viscosity of the unit time, I is the thickness of the sand, h, and h, fluid, (T = (Nd')(P/fL) is the volume conductivity of the heights above a reference level of the water in the system, and E = [g - (1/ p) grad p] is the impell manometers terminated above and below the sand, re ing force per unit mass acting upon the fluid. It is spectively, and K a factor of proportionality.