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School
University of New South Wales *
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Course
3002
Subject
Geology
Date
Apr 3, 2024
Type
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16
Uploaded by MinisterJackalMaster757
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Started on
Tuesday, 15 August 2023, 6:10 PM
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Completed on
Tuesday, 15 August 2023, 6:32 PM
Time taken
21 mins 58 secs
Select one or more:
Kriging allows the estimation of mean and variance of a regionalised variable at locations
where the variable is not known utilizinig the variogram and data at known points. Tick all
statements which are true:
a.
Kriging estimators are sometimes called according to the principle RED: real
expectation data.
b.
Kriging provide smoothed estimates at unknown locations and do not
preserve the histogram.
c.
In ordinary Kriging the variance depends both on the structural model and the
data.
d.
Kriging estimators are sometimes called BLUE: best linear unbiased
estimator.
e.
Simple Kriging estimators are neither BLUE nor RED.
Your answer is correct.
The correct answers are: Kriging estimators are sometimes called BLUE: best linear
unbiased estimator., Kriging provide smoothed estimates at unknown locations and do not
preserve the histogram., Simple Kriging estimators are neither BLUE nor RED.
Consider the case of a histogram for one variable - a bin width/spacing is set and the data
lying within the range of each bin counted. A succint presentation of the data is a boxplot
. Expanding to two variables a scatter plot can show the partial
relationship between variables with some remaining scatter.
Projections onto the individual axes result in marginal histograms
. Concentrating
on a particular bin in such a projection results in a conditional distribution
. Two
distributions may be compared using a Q-Q plot
. In higher dimensions
(with more variables) transforming the set of variables into a new set of principal components
will result in variables with descending contributions of
variance of the data. Distributions may be separated using cluster analysis
.
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Question 4
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Your answer is correct.
The correct answer is:
Consider the case of a histogram for one variable - a bin width/spacing is set and the data
lying within the range of each bin counted. A succint presentation of the data is a
[boxplot]. Expanding to two variables a scatter plot can show the [partial] relationship
between variables with some remaining scatter. Projections onto the individual axes result
in [marginal histograms]. Concentrating on a particular bin in such a projection results in a
[conditional distribution]. Two distributions may be compared using [a Q-Q plot]. In higher
dimensions (with more variables) transforming the set of variables into a new set of
[principal components] will result in variables with descending contributions of variance of
the data. Distributions may be separated using [cluster analysis].
Select one or more:
Tick all true statements about boxplots.
a.
Upper extremes are values which are at least 3x the interquartile range larger
than the upper wisker.
b.
Lower outliers are values which are at least 3x the interquartile range lower
than the lower wisker.
c.
Extremes should always be removed from the data set during quality control.
d.
The range between lower and upper hinge represents 50% of the data.
Your answer is partially correct.
You have correctly selected 1.
The correct answers are: The range between lower and upper hinge represents 50% of the
data., Upper extremes are values which are at least 3x the interquartile range larger than
the upper wisker.
Select one:
Consider the case of a typical geological setting where local correlations exist. Spatial
correlations
a.
have no effect on the information content of data.
b.
reduce the information content of data.
c.
increase the information content of data.
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Question 6
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Question 7
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Your answer is correct.
The correct answer is: reduce the information content of data.
Select one:
Choose the correct answer. In mathematical geology a sample is
a.
The total set of measurements from an entire object.
b.
A single measurement like porosity of a core plug.
c.
A subset of a unit of study probing the population of possible values.
Your answer is correct.
The correct answer is: A subset of a unit of study probing the population of possible
values.
Match scales and properties with measurements.
Seismic
About 10m vertical depending on depth
Formation Micro Imager
Dip detection
Direct permeability measurements
Core analysis
Facies assemblage
Conceptual model
Sediment transport
Depositional environment
Your answer is correct.
The correct answer is: Seismic →
About 10m vertical depending on depth, Formation
Micro Imager →
Dip detection, Direct permeability measurements →
Core analysis, Facies
assemblage →
Conceptual model, Sediment transport →
Depositional environment
Select one or more:
Why do we build reservoir models? Consider the answers below and tick all correct
statements.
a.
Determine reservoir uncertainty
b.
Simulate auid aow through the reservoir
c.
Visualize the reservoir; quality control is not important for this particular step.
d.
Estimate recovery factors
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Question 9
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Your answer is correct.
The correct answers are: Determine reservoir uncertainty, Estimate recovery factors,
Simulate auid aow through the reservoir
Select one or more:
Consider the task of upscaling permeability. Which of the following statements are true
accordingly (tick all that apply).
a.
For vertical communication calculations non-pay is ignored.
b.
For a layered system horizontal permeability can be calculated using an
arithmetic average.
c.
For an isotropic heterogeneous reservoir layer internal averaging may be
achieved using the geometric average.
d.
For a layered system vertical permeability can be calculated using an arithmetic
average.
Your answer is correct.
The correct answers are: For an isotropic heterogeneous reservoir layer internal averaging
may be achieved using the geometric average., For a layered system horizontal
permeability can be calculated using an arithmetic average., For vertical communication
calculations non-pay is ignored.
Select one or more:
Upscaling of scalar quantities in reservoir characterisation is a common task and may
follow specidc rules to reduce resulting errors. Consider below and tick all correct
answers.
a.
Porosity upscaling is least error prone if using pore volume preservation.
b.
Net-to-gross ratio is best upscaled assuming that bulk rock volume is preserved in
upscaling.
c.
Depth values affect the gravity term and are best upscaled on bulk rock volume
basis.
d.
Saturation is best upscaled using a pore volume weighted average to preserve
dne scale saturation and thus relative permeability.
Your answer is correct.
The correct answers are: Porosity upscaling is least error prone if using pore volume
preservation., Saturation is best upscaled using a pore volume weighted average to
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Question 11
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Question 12
12
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preservation., Saturation is best upscaled using a pore volume weighted average to
preserve dne scale saturation and thus relative permeability.
Select one or more:
Consider statements below - tick all which are true.
a.
A symmetric distribution is leptokurtic when IQR equals standard deviation.
b.
A symmetric distribution is platykurtic when IQR equals standard deviation.
c.
For a Gaussian distribution mode, median, and mean are equal.
d.
A lognormal distribution is negatively skewed.
Your answer is partially correct.
You have correctly selected 1.
The correct answers are: For a Gaussian distribution mode, median, and mean are equal.,
A symmetric distribution is leptokurtic when IQR equals standard deviation.
Drag the words from the list below into the correct spaces:
Reservoir characterisation aims at quantifying the behaviour
of the system. It uses geological data
(sedimentology,
diagenesis, grain size…) to describe, quantify, and model the heterogeneous elements in a reservoir
(facies, aow barriers,…). It provides a spatial
continuous assignment of physical properties
relevant for
reservoir modelling.
Your answer is correct.
The correct answer is:
Drag the words from the list below into the correct spaces:
Reservoir characterisation aims at quantifying the [behaviour ] of the system. It uses
[geological data] (sedimentology, diagenesis, grain size…) to describe, quantify, and model
the [heterogeneous elements in a reservoir] (facies, aow barriers,…). It provides a spatial
continuous assignment of [physical properties] relevant for reservoir modelling.
Consider the computational costs of stochastic simulation based on Kriging. How can you
speed-up the calculation of a realisation for a particular scenario? Assume for simplicity
that the variogram has a sill equal to the theoretical sill.
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Select one or more:
a.
Use a search radius to limit the number of points to consider for estimating at
an unknown location. Points further away do not inauence the result.
b.
For multivariate cases use principal component analysis to reduce the number
of variables expressing the variance in the dataset.
c.
Switch to interpolation rather than stochastic simulation once known points
are dense and well within the search radius.
Your answer is correct.
The correct answers are: Use a search radius to limit the number of points to consider for
estimating at an unknown location. Points further away do not inauence the result., Switch
to interpolation rather than stochastic simulation once known points are dense and well
within the search radius., For multivariate cases use principal component analysis to
reduce the number of variables expressing the variance in the dataset.
Select one or more:
Consider the case of a low resolution variable being known at all grid points. A second
variable dependent on the drst one, e.g. permeability, shows a strong correlation to the
drst variable based on a physically motivated empirical relationship. Such a system would
likely be a case of Kriging with external drift. Which statements below are true?
a.
The residual is assumed to be stationary within the search neighbourhood.
b.
A Lagrange multiplier is used to ensure that the estimated variable follows the
relationship with the drift variable.
c.
The weights and estimation variance are independent of the data values of the
drift variable.
d.
A Lagrange multiplier is used to ensure that the weights sum to one.
Your answer is correct.
The correct answers are: A Lagrange multiplier is used to ensure that the weights sum to
one., A Lagrange multiplier is used to ensure that the estimated variable follows the
relationship with the drift variable., The residual is assumed to be stationary within the
search neighbourhood.
Match corresponding entries.
data point sets
cost for calculation of distances between points is high
data point sets
are suitable for dense data
pure object methods
great for faults and fractures
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Question 16
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great for faults and fractures
network models
consist of a set of points with links in between
pure object models
treat reservoir as collection of entities with different shapes
Your answer is correct.
The correct answer is: data point sets →
cost for calculation of distances between points
is high, data point sets →
are suitable for dense data, pure object methods →
great for
faults and fractures, network models →
consist of a set of points with links in between,
pure object models →
treat reservoir as collection of entities with different shapes
Select one or more:
Resampling of grids may be applied for various reasons and may cause certain issues
impacting on the accuracy of transfering/rescaling grid values from one grid to another.
Mark all that apply.
a.
Resampling to centre cells may be used to assign some value to a dne grid
from a coarse grid, followed by stochastic simulation to generate multiple
dne-scale realisations.
b.
Aliasing is no problem under grid rotation, since there is a 1-to-1 relationship
between grid cells.
c.
Resampling to all cells after upscaling and differentiating element-wise with
the original dne-scale grid values may reveal coarse cells where upscaling is
more error prone.
d.
Resampling to centre cells may be used to assign some value to a dne grid
from a coarse grid, setting a coarse scale trend.
Your answer is correct.
The correct answers are: Resampling to centre cells may be used to assign some value to
a dne grid from a coarse grid, setting a coarse scale trend., Resampling to centre cells
may be used to assign some value to a dne grid from a coarse grid, followed by stochastic
simulation to generate multiple dne-scale realisations., Resampling to all cells after
upscaling and differentiating element-wise with the original dne-scale grid values may
reveal coarse cells where upscaling is more error prone.
Select one or more:
Consider the case of a sequential indicator simulation (SIS). The procedure is somewhat
analogue to SGS, with some pecularities as one deals with categorical variables. Lets
assume we have three rock types corresponding to three indicator variables. Which of the
following statements are true?
a.
A layered system can be constructed by projecting the indicator expectation
values on a single Gaussian distribution.
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Question 18
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values on a single Gaussian distribution.
b.
Expectation values for local probabilities are formulated with regard to the
categorical values, not the indicator variables.
c.
Each indicator variable must be modeled spatially e.g. by using an indicator
variogram.
d.
We may consider more than three categorical variables, where each
categorical variable may be represented by multiple indicators.
Your answer is correct.
The correct answers are: We may consider more than three categorical variables, where
each categorical variable may be represented by multiple indicators., Each indicator
variable must be modeled spatially e.g. by using an indicator variogram., A layered system
can be constructed by projecting the indicator expectation values on a single Gaussian
distribution.
Select one or more:
The pressure solver method in the context of upscaling allows testing of upscaling rules
and the determination of the best upscaling strategy. However, certain limits apply. Mark
all true statements below.
a.
The method can only be used with conforming grids.
b.
Upscaled values using the pressure solver may be pessimistic.
c.
The method has diiculties with pinch outs in dne grid cells.
Your answer is correct.
The correct answers are: Upscaled values using the pressure solver may be pessimistic.,
The method can only be used with conforming grids.
Select one:
Many averaging formula utilized in geostatistical interpolation or estimation techniques
need as one input the distance between points. A common differentiation is the choice of
stratigraphic or cartesian distances. Which one is larger for a dipping horizon - choose the
right answer?
a.
The cartesian distance is larger.
b.
The stratigraphic distance follows the horizon and is larger.
c.
Both distances are the same.
Your answer is correct.
Question 19
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Question 20
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Your answer is correct.
The correct answer is: The cartesian distance is larger.
Select one or more:
Consider the case of a low resolution variable being known e.g. from a seismic survey. For
argument sake let this variable be an estimated porosity. A secondary variable is known
only at some location and has no known physical relationship with the drst variable.
However, an acceptable correlation seems to exist between the two variables. Thus, the
co-kriging technique may be used in the context of estimation and stochastic simulation.
Which of the following applies?
a.
For the case of simple cokriging one requires the variograms of each variable
AND the cross-variogram of the two variables as function of lag.
b.
For collocated cokriging only the variogram of the secondary variable is used, in
addition to the variances of the individual variables and the co-variance of the
variables at zero lag. It is assumed that the data is Gaussian with known mean.
c.
For collocated cokriging only the variogram of the primary variable is used, in
addition to the variances of the individual variables and the correlation
coeicient of the variables at zero lag.It is assumed that the data is Gaussian
with known mean.
Your answer is correct.
The correct answers are: For the case of simple cokriging one requires the variograms of
each variable AND the cross-variogram of the two variables as function of lag., For
collocated cokriging only the variogram of the primary variable is used, in addition to the
variances of the individual variables and the correlation coeicient of the variables at zero
lag.It is assumed that the data is Gaussian with known mean.
A regionalised variable
consists of a smooth trend
of the mean
and a residual random function
with some degree of auto-correlation. A further
component of is some random noise
. Often we will model the
regionalised variable as the sum of a polynomial
trend and a
correlated higher-frequency random variable
.
Your answer is correct.
The correct answer is:
A [regionalised variable] consists of a [smooth trend] of the mean and a [residual random
function] with some degree of auto-correlation. A further component of is some [random
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function] with some degree of auto-correlation. A further component of is some [random
noise]. Often we will model the regionalised variable as the sum of a [polynomial] trend
and a correlated higher-frequency [random variable].
Select one or more:
Consider the case of stochastic Gaussian simulation. A set of known points are used to
constraint possible realisations of a random function in space. Tick one or more true
statements below.
a.
The chosen path (or order of estimation of values at each point) determines the
expected mean at each location of the random function.
b.
The Kriging variance for the estimation of a value at a particular location
decreases if points around it have already been estimated via SGS.
c.
In a simple implementation the Kriging system continually grows with the
number of known points.
d.
Taking a sample from a map generated by SGS will be expected to show a
histogram similar to the original one; there is no narrowing of the distribution
function.
e.
The Kriging variance represents the total uncertainty in the data.
Your answer is correct.
The correct answers are: In a simple implementation the Kriging system continually grows
with the number of known points., The Kriging variance for the estimation of a value at a
particular location decreases if points around it have already been estimated via SGS.,
Taking a sample from a map generated by SGS will be expected to show a histogram
similar to the original one; there is no narrowing of the distribution function.
Conductive
fractures may provide pathways for extraneous water production.
Furthermore, at fault locations different lithologies can become discontinous or be
enhanced in continuity due to false juxtaposition
. Fracture density is often a factor in
horizontal
well performance, which depends on kv/kh. When intersected by high
angle wells, vertical
fractures are of particular importance. Water aoods may
alter the conductivity
of fractures due to a change in stress regime.
Examples where fractures are important include:
a) fractures might provide signidcantly higher permeability than surrounding rock matrix.
b) naturally fractured reservoirs.
c) conductivity of fractures can change with stress regimes, e.g. during water-aood.
d) vertical fractures might be intersected in particular by high angle or horizontal wells.
e) conductive fractures may provide pathways for extraneous water production.
The juxtaposition of different lithologies across faults can either cause interruption or
enhancement in continuity.
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Question 24
24
enhancement in continuity.
Your answer is correct.
The correct answer is:
[Conductive] fractures may provide pathways for extraneous water production.
Furthermore, at fault locations different lithologies can become discontinous or be
enhanced in continuity due to false [juxtaposition]. Fracture density is often a factor in
[horizontal] well performance, which depends on kv/kh. When intersected by high angle
wells, [vertical] fractures are of particular importance. Water aoods may alter the
[conductivity ] of fractures due to a change in stress regime.
Examples where fractures are important include:
a) fractures might provide signidcantly higher permeability than surrounding rock matrix.
b) naturally fractured reservoirs.
c) conductivity of fractures can change with stress regimes, e.g. during water-aood.
d) vertical fractures might be intersected in particular by high angle or horizontal wells.
e) conductive fractures may provide pathways for extraneous water production.
The juxtaposition of different lithologies across faults can either cause interruption or
enhancement in continuity.
Select one or more:
Consider the case of structural modeling using variograms. Assume that a theoretical sill
is known as well as the range of the variogram. A small non-zero nugget is also
predetermined. Given these conditions, which of the following statements are true (tick all
that apply) when comparing the mentioned variogram models?
a.
A nested variogram is constituted of the sum of two simpler variogram
models.
b.
The exponential variogram has a sill and rises fastest from h=0.
c.
The spherical variogram has a sill and has the steepest rise at h=0.
d.
A nested variogram has two component functions where the drst one is applied
over range 1 and the second one over range 2.
e.
The Gaussian variogram has a sill and exhibits the strongest correlations at h
-> 0.
Your answer is correct.
The correct answers are: The exponential variogram has a sill and rises fastest from h=0.,
The Gaussian variogram has a sill and exhibits the strongest correlations at h -> 0., A
nested variogram is constituted of the sum of two simpler variogram models.
Consider the case of estimating a mean and error variance at a location where actual data
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Question 25
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Question 26
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Consider the case of estimating a mean and error variance at a location where actual data
is not known. Simple Kriging would result in a biased
estimate due to
the fact that the mean
is not guaranteed to be the true mean because weights
do not need to sum to one. This can be dxed by using Lagrange multipliers
in order to add the constraint
that weights sum
to one, leading to the ordinary
Kriging method.
Your answer is correct.
The correct answer is:
Consider the case of estimating a mean and error variance at a location where actual data
is not known. Simple Kriging would result in a [biased] estimate due to the fact that the
[mean] is not guaranteed to be the true mean because [weights] do not need to sum to
one. This can be dxed by using [Lagrange multipliers] in order to add the [constraint] that
weights sum to one, leading to the [ordinary] Kriging method.
Select one or more:
The concept of stationarity is a basic concept in geostatistics on which many
geostatistical methods rely. Consider at set of measurements at different locations, and a
second sample, where all individual measurements are taken a dxed vector away from the
original measurements. What do we mean when we talk about second order stationarity
(tick all that apply).
a.
The mean of the two samples is the same.
b.
The samples come from the same population.
c.
The variance of the two samples is the same.
Your answer is correct.
The correct answers are: The mean of the two samples is the same., The variance of the
two samples is the same., The samples come from the same population.
Select one or more:
Consider the case of a set of core data taken around a lake with most cored wells being
on the eastern side of the lake, and just one on the western side. How can you avoid
biased interpolation when estimating values in the centre of the lake (tick all that apply)?
a.
Use a quadrant search to reduce clustering bias.
b.
Use distance weighted averaging.
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Question 29
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b.
Use distance weighted averaging.
c.
Use an octant search to reduce clustering.
Your answer is correct.
The correct answers are: Use a quadrant search to reduce clustering bias., Use an octant
search to reduce clustering.
Select one or more:
Choose all answers that are true.
a.
The geometric mean is always equal or larger than the harmonic mean.
b.
The power mean is a general averaging technique reducing to geometric
mean for p=0.
c.
The harmonic mean is always larger than the arithmetic mean.
Your answer is correct.
The correct answers are: The power mean is a general averaging technique reducing to
geometric mean for p=0., The geometric mean is always equal or larger than the harmonic
mean.
Select one or more:
Which of the following statements is true? Tick all which are true.
a.
Reservoir
characterisation
uses
descriptive
statistics
Indeed this is part of reservoir characterisation. However,
reservoir characterisation is much more general while
reservoir description is limited to descriptive statistics.
b.
Reservoir description targets system behaviour for the purpose of reservoir
modelling.
c.
It places importance on the spatial relationship between different variables.
Your answer is correct.
The correct answers are: Reservoir characterisation uses descriptive statistics, It places
importance on the spatial relationship between different variables.
Consider the case of a variogram describing the spatial arrangement of a reservoir. The
variogram shows some undulations and at large lags the variance is increasing
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Question 30
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Question 31
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Select one or more:
monotonically and is signidcantly larger than the sill. Which structural features cause this
behaviour (mark all that apply)?
a.
There is an underlying trend causing the steady increase of variance with
distance.
b.
Anisotropy causes the undulations in the variogram.
c.
The undulations may originate from a too small sample.
d.
Cyclic features cause undulations in the variogram.
Your answer is correct.
The correct answers are: There is an underlying trend causing the steady increase of
variance with distance., Cyclic features cause undulations in the variogram., The
undulations may originate from a too small sample.
Select one or more:
Tick all statements which are true.
a.
PEBI grids due to their irregularity have diiculties in representing fractures
b.
PEBI grids are limited in representing wells
c.
Block-centered grids have variable cell dimensions in horizontal directions
d.
Regular in plan, stretched in depth grids are excellent to represent
proportional layering
e.
Regular in plan, shifted in depth grids have constant cell dimensions
f.
Regular in plan, shifted in depth grids store the top of the formation with
dimension nk
Your answer is correct.
The correct answers are: Regular in plan, stretched in depth grids are excellent to
represent proportional layering, Regular in plan, shifted in depth grids have constant cell
dimensions, Block-centered grids have variable cell dimensions in horizontal directions
Select one or more:
Consider the case of conforming and unconforming grids, posing different upscaling
challenges. Which of the following statements are true?
a.
For layered correspondence vertical correspondence is spatial and horizontal
correspondence is logical.
b.
For conforming grids the cell correspondence is dedned by cell shape.
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b.
For conforming grids the cell correspondence is dedned by cell shape.
c.
For conforming grids the cell correspondence is dedned by cell numbers.
Your answer is correct.
The correct answer is: For conforming grids the cell correspondence is dedned by cell
numbers.
Select one or more:
Consider the case of building a geo-cellular model with ultimate goal of reservoir
modeling. What are typical modeling strategies - tick all answers that are true!
a.
High resolution geological models are discouraged due to the resulting
computational cost.
b.
For regions of high data density experimental rescaling is applied to test
upscaling.
c.
Local grid rednement may be used for high contrast regions to increase
numerical stability.
d.
It is most common to estimate heterogeneity effects at simulation scale and build
the model at that scale.
Your answer is correct.
The correct answers are: For regions of high data density experimental rescaling is applied
to test upscaling., Local grid rednement may be used for high contrast regions to increase
numerical stability.
Select one or more:
Consider the modeling of discontinuities in reservoir models; select all true statements
below.
a.
Mechanical discontinuities showing evidence of relative movements are
faults.
b.
Mechanical discontinuities showing evidence of relative movements are fractures.
c.
Mechanical discontinuities showing no evidence of relative movement are faults.
d.
Mechanical discontinuities showing no evidence of relative movement are
fractures.
Your answer is partially correct.
You have correctly selected 2.
The correct answers are: Mechanical discontinuities showing evidence of relative
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The correct answers are: Mechanical discontinuities showing evidence of relative
movements are fractures., Mechanical discontinuities showing evidence of relative
movements are faults., Mechanical discontinuities showing no evidence of relative
movement are fractures.
Select one or more:
Consider the case of interpolating values for porosity at a desired location. Five values
around the point to estimate are known. Then the estimation problem can be written as a
linear average of the values at the known points by applying a weighted average. Tick the
statements below which are true.
a.
For a moving average with a window size larger than the largest distance to
the known points calculated from the estimation location all weights are
equal.
b.
Inverse distance weighting results in a continuous differentiable estimation
surface.
c.
Triangulation cannot be used in cross-validation techniques.
d.
Applying a moving average method may change the mean of the data.
Your answer is correct.
The correct answers are: For a moving average with a window size larger than the largest
distance to the known points calculated from the estimation location all weights are
equal., Applying a moving average method may change the mean of the data., Inverse
distance weighting results in a continuous differentiable estimation surface.
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