1. Sodium chloride is used as a tracer to determine the dispersion coefficient in an aquifer. A 0.010 molar sodium chloride solution is injected into the aquifer at well #1 at a rate of 1 m/min. The injected water flows radially outward from the well, only in the horizontal direction, and the only flow in the aquifer is due to the injected salt solution. The aquifer is 10 m thick and has a porosity of 0.35. injection well #1 water injection ground surface. probe to measure concentrations impermeable clay boundary impermeable clay boundary methanol, which biodegrades according to: dt c) What physical processes contribute to dispersion in this problem? d) What is the steady state solution at well #2 for injection of the salt tracer? monitoring well #2 10 m a) Write the PDE that describes the salt concentration at observation well #2, which is 10 m from the injection well. Include all initial and boundary conditions. b) Write the PDE, including all initial and boundary conditions, for injection of a 0.010 molar solution of dC =-kC

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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1. Sodium chloride is used as a tracer to determine the
probe to measure
concențrations
water
injection
dispersion coefficient in an aquifer. A 0.010 molar
injection
monitoring
well #1
well #2
ground surface
sodium chloride solution is injected into the aquifer at
well #1 at a rate of 1 m/min. The injected water flows
impermeable clay boundary
radially outward from the well, only in the horizontal
10|m
direction, and the only flow in the aquifer is due to the
injected salt solution. The aquifer is 10 m thick and
has a porosity of 0.35.
impermeable clay boundary
a) Write the PDE that describes the salt concentration at observation well #2, which is 10 m from the injection
well. Include all initial and boundary conditions.
b) Write the PDE, including all initial and boundary conditions, for injection of a 0.010 molar solution of
dC
= -k C
methanol, which biodegrades according to: dt
c) What physical processes contribute to dispersion in this problem?
d) What is the steady state solution at well #2 for injection of the salt tracer?
Transcribed Image Text:1. Sodium chloride is used as a tracer to determine the probe to measure concențrations water injection dispersion coefficient in an aquifer. A 0.010 molar injection monitoring well #1 well #2 ground surface sodium chloride solution is injected into the aquifer at well #1 at a rate of 1 m/min. The injected water flows impermeable clay boundary radially outward from the well, only in the horizontal 10|m direction, and the only flow in the aquifer is due to the injected salt solution. The aquifer is 10 m thick and has a porosity of 0.35. impermeable clay boundary a) Write the PDE that describes the salt concentration at observation well #2, which is 10 m from the injection well. Include all initial and boundary conditions. b) Write the PDE, including all initial and boundary conditions, for injection of a 0.010 molar solution of dC = -k C methanol, which biodegrades according to: dt c) What physical processes contribute to dispersion in this problem? d) What is the steady state solution at well #2 for injection of the salt tracer?
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