Global Journal of Engineering Sciences (GJES)
Optimal
Spacing of the Wolfcamp in the Delaware Basin
Authored by Ahmed Alzahabi
Abstract
Proper well spacing for
horizontal wells is one of the missing pieces for the Delaware Basin
development in the Wolfcamp Formation. In the Wolfcamp formation in the
Delaware Basin, well spacing varies with formation characteristics (rock and
fluid) across the Basin. Finding the spacing intervals between horizontal wells
right is crucial to maximizing productivity and estimated ultimate recovery
(EUR) while avoiding detrimental frac hits and cross-well pressure and fluid
interference during stimulation and production.
Along with the various
parameters affecting development, well patterns and completion methodologies
are having the highest impact. Both parameters show a significant impact on the
drainage area of wells and may in turn affect optimal spacing between the
wells. The model outcomes are expected to improve recovery efficiency, oil
production, and minimize detrimental frac hits and cross-well pressure and
fluid interference during stimulation and production. A pool of private
production and spacing data were analyzed in conjunction with data analytics.
This step led to a newly developed model to optimize well spacing.
The work may lead to an
optimal spacing for the stacked Delaware Basin, and contribute to a better
understanding of infill Wolfcamp child wells relative their offset parent
wells. Our model within the Wolfcamp may be applied to various sections and
formations across the Permian Basin. Current workflows and spacing advisors
require use of numerical reservoir simulation and fracture simulation. Drainage
area, spacing, reserves, recovery factors, and fracture height and width are
the main unknown variables in unconventional plays. Application of data
analytics with production, spacing, life of the well on production, and
completion data is anticipated to resolve some of these issues.
Nomenclature
• Kf= fracture
permeability
• wfp= propped fracture
closed width
• 200, 100, 40/70,
30/50, 20/40, 30/70 = a descriptor used to describe the size of the proppant
being pumped.
• Age = the difference
in number of days between the time the well was completed and 01/01/2001.
• Avg. Prop.
Concentration = the lbs of proppant pumped per fluid gallons pumped.
• Avg. Rate = the
average rate at which the mixture is pumped downhole to create the fractures.
• Cluster spacing = the
distance between the clusters within the stage.
• Cluster = a set of
perforations arranged in a certain pattern to achieve the optimal completion.
• Clusters per stage =
the number of clusters used in each stage.
• Comp Date = the date
the well was completed.
• Completed feet = the
calculated distance between the top perf and bottom perf where the fractures
occur.
• County = the county
where the well was drilled.
• County Variable = a
numeric variable to distinguish between counties.
• Degradation = the
amount of overlap divided by total rectangular area.
• Fluid Bbls = the
amount of fluid pumped downhole to initiate fracture and place proppant.
• Fluid Gal/Cluster =
the amount of fluid pumped per cluster.
• Fluid Gal/Ft = fluid
volume in gallons per foot.
• Fluid Gal/Ft = the
amount of fluid pumped per completed foot.
• Fluid Gal/Perf = the
amount of fluid pumped per perforation.
• GOR Ratios = a metric
used to determine the amount of gas produced per oil produced (SCF/STB).
• IP = initial
production rates.
• IP = the amount of
oil produced by a new oil well, measured in B/D (barrels of oil per day) or
BOE/D (barrels of oil equivalent per day).
• IP 30, 90, & 180
= calculations taking a rolling average by number of days described (30, 90, or
180) and then using the maximum value obtained for oil, gas and water.
• ISIP/Ft =
instantaneous shut in pressure once a stage has been completed and frac pumps
are shut down.
• Linear Gel = a
fracturing fluid supplemented with different polymers which increase its
ability to carry proppant.
<• Max Prop.
Concentration = the proppant concentration begins with mostly fluid and then is
built up to a maximum concentration of pounds of proppant per fluid gallon.
• Max. Rate = the
maximum rate achieved pumping mixture into fractures.
• Number of stages =
Whenever a plug is set, perforations are created, the reservoir is fractured
with fluid, and then another plug is set, it is called a stage.
• Oil, Gas, MBOE EUR=
the estimated ultimate recovery of oil and gas, MBOE – Oil + Gas/6.
• Perfs = the number of
holes created from the charges that are inserted downhole in sets of
perforations called clusters designed in different patterns to achieve optimal
completion.
• Perfs/Clusters = the
number of perforations used in each cluster.
• Prop. Lbm = the
amount of proppant pumped with the fluid to keep the created fractures open.
• Prop. Lbm/Cluster =
the amount of proppant pumped per cluster.
• Prop. Lbm/Ft = the
amount of proppant pumped per completed foot.
• Prop. Lbm/Perf = the
amount of proppant pumped per perforation.
• Proppant Lbm = Mass
of proppants
• Rate/Cluster = the
average rate per cluster.
• Rate/Ft = the average
rate per completed foot.
• Rate/Perf = the
average rate per perf.
• Reservoir = the
formation in which the lateral was drilled (i.e. Wolfcamp A, Wolfcamp LA,
Wolfcamp MA).
• Reservoir = the
formation that the lateral was drilled (i.e. Wolfcamp A, Wolfcamp LA, Wolfcamp
MA).
• Reservoir Variable =
a numeric variable distinguishing between reservoirs Wolfcamp C-D and Wolfcamp
A.
• Reservoir Variable =
a numeric variable distinguishing between reservoirs Wolfcamp C-D and Wolfcamp
A.
• ROA= Rectangular
Overlap Area: the area of overlap from wells in the same section with one
another determined by their legal spacing location. Assuming a Xf off 770’ and
Hf of 200’ and rectangular drainage area.
• Slickwater = water
with chemicals added to speed up the rate at which it can be pumped to create
more fractures.
• Stage length = the
length of each stage, a good indicator for normalizing stages for lateral
length.
• TVD = the furthest
vertical depth drilled.
• UWI = a unique well
identifier for every well; each set of numbers stands for a unique location and
well identifier (i.e. county, state, horizontal, pilot).
• WCUT = Water cut; a
metric used to determine the amount of water produced per oil produced. (Water
/ (Water + Oil)).
• Yield= Condensate
yield, MMSCF/STB.
Keywords: Optimal
production; Wolfcamp formation; Fracture driven interaction; Well spacing
Introduction
The paper is to develop
a thorough understanding of proper well spacing and to propose a methodology
for optimization in tight rocks. Production well interference due to fracture
driven interaction (FDIs) may occur between child and parent wells especially
if the distance between the wells is narrow. This interference must be avoided
to reduce the significant negative impact on productivity and estimated
ultimate recovery (EUR) of the producing wells. The impact of these
interactions is sophisticated and requires numerical modeling to account for
fracture propagation and depletion effects due to varied spacing sets (Kan et
al. 2019). Examining numerous cases of Improper spacing has caused well
interference and FDIs in horizontal wells in the Wolfcamp section in both the
Delaware and Midland basins. Nearly 10% of these cases have resulted in
critical productivity loss.
The EUR is certainly a
function of many parameters including fracture and well spacings. These
variables include but are not limited to [1]: Completion style (Open hole,
cased hole, etc.);In-situ stresses and stress regimes, and faulting ; Wellbore
lateral length and number; Fracturing fluid and proppant size, concentration,
and type; Fracture job design parameters (i.e. injection rate, volume,
rheology, additives, fracture conductivity, leak coefficient); Formation
characteristics and rock mechanical properties (i.e. permeability, porosity,
formation density, initial reservoir pressure, Young’s Modulus, Poisson’s
ratio, Biot’s constant); Reservoir fluid properties; Decline rate of wells,
which is dependent on the depletion strategy.
limited to [1]:
Completion style (Open hole, cased hole, etc.);In-situ stresses and stress
regimes, and faulting ; Wellbore lateral length and number; Fracturing fluid
and proppant size, concentration, and type; Fracture job design parameters
(i.e. injection rate, volume, rheology, additives, fracture conductivity, leak
coefficient); Formation characteristics and rock mechanical properties (i.e.
permeability, porosity, formation density, initial reservoir pressure, Young’s
Modulus, Poisson’s ratio, Biot’s constant); Reservoir fluid properties; Decline
rate of wells, which is dependent on the depletion strategy.
A narrative about the
Delaware Basin development warrants the following questions:
1. What is the minimum
and maximum spacing between horizontal wells?
2. What is the optimum
number of wells per section to avoid FDI?
3. Does spacing affect
horizontal well EUR?
Increasing spacing
between parent and child wells can improve EURs per well to a point, but on the
other hand, production per section/lease will decrease as fewer wells are
drilled to drain the section, potentially leaving the reservoir volume under
stimulated.
Since the shift from
vertical to horizontal wells, more than 3,000 horizontal wells have been
drilled and completed in the Midland Basin, Wolfcamp section. This is in
addition to more than 1400 wells in the Delaware Basin, Wolfcamp Formation [3].
Proper well spacing is
critical for successful development of unconventional resources. Numerous
studies have been conducted on spacing of horizontal wells in unconventional
reservoirs [1,4- 23].
This paper introduces
a new model as an attempt to better understand spacing effectiveness. The model
can be used to quickly predict the optimum spacing of horizontal wells in the
Permian Basin, Wolfcamp Formations. In developing the model, we considered 201
horizontal wells, obtained from private parties for the Permian Basin, Wolfcamp
A through D.
To predict spacing
(the dependent variable) in that model, the following pool of independent (or
input) variables was considered: County, depth, oil EUR, IP 30 oil, IP 60 oil,
volume of the injected fluid in bbl., gas EUR, IP 30 gas, IP 60 gas, GOR, gas
yield, well number of days in production, number of pounds of proppant, BOE per
well, cumulative oil, cumulative gas, TVD (True vertical depth), injected fluid
in gal/ft, IP 180 oil. The completion data ranges, obtained from private
sources, to develop the model are summarized in Table 1. The spacing model
introduced correlates the spacing variable Rectangular Overlap Area (ROA) to
the wells EUR.
We used analytics
(Scatter-diagram smoothing) to develop a relationship between two dependent
variables EUR and IP over 150 days and Rate of overlap (See Eqs. 1 through 5,
Appendix A) among laterals. The study demonstrates the effect of stacked reservoirs
on EUR and IP 150 oil. The interactions can help us understand the relationship
between the planning of older and newer wells.
Recent Advancements in Well Spacing
There is no simple
formula to guide proport well spacing in the Permian Basin. Defeu et al. [24],
considering data from Wolfcamp shale play in the Delaware Basin, one study
found that when a child well was drilled within 1,000 feet of an older well,
the parent outperformed the new child by 66%. When the comparison was adjusted
for high-intensity completions with higher fluid and proppant volumes, 79% of
older Wolfcamp wells performed better than offset child wells. If well density
or lateral spacing is too tight, it could lead to negative well interference
issues between neighboring laterals from fracture-driven interactions (FDIs),
or frac hits, which could degrade the productivity and recovery factors of
parent and infill wells.
It is well known in the
industry that an increase in well spacing lowers the wells EUR [24]. The wider
the spacing the higher the EUR per well to a point, but production per section
(lease) drops as fewer wells are drilled to drain the section.
Estimated ultimate
recovery of wells (EUR) usually increases with the increase in number of
stages. As the number of fracture stages increases, the efficiency of
incremental stages decreases in the Bakken shale Formation [25]. Beyond a
certain number, therefore, the incremental cost would exceed the incremental
benefits.
A study by Hart Energy
and ENVERUS on the Wolfcamp A, shows multiple spacing tests done by operators
in the DOMINATOR area in Lea County, New Mexico. Despite the risks associated
with the tight spacings (<200 ft) used in the project, more testing
(numerically and analytically) is needed to push the boundaries of spacings to
determine with an optimum range (Figure 3). Shows the effect of Wolfcamp-A
linear spacing on productivity. The figure demonstrates the recommended range
of 200-800 ft.
A study done by Hart
Energy on 180 horizontal wells in the Eagle Ford shale play used a geospatial
approach to estimate well spacing rather than measuring interwall footage. The
pseudo-drainage area is calculated using vector geometry algorithms (Figure 4).
Wells with tighter spacing showed poorer performance (well profile). On the
other hand, wells with 200-400 acres spacing are the best performing wells. In
this slice of the Eagle Ford shale, well spacing seems to have an important
effect on performance, particularly when wells have less than 200 acres
(drainage area) available to drain. The modeling of three wells from East
Texas, with spacing between the middle and two offset laterals increasing from
1000 to 2500 ft in 500-ft increments, showed that the highest NPVs are
correlated to a lateral stage spacing between 360 and 385 ft [26].
Table 2 demonstrates
variations in well spacing as practiced by many operators in various basins
across North America. The variation of spacing is used in shales of Permian
Wolfcamp, Marcellus, Bakken, Eagle Ford and Anadarko Woodford.
New Analytical Workflow
The workflow involves two main
stages
• A global model that
predicts EURs and initial production for Delaware Basin Wolfcamp wells for the
first 150 days of using nonparametric regression and scatter diagram smoothing
(Hastie et al. 2015); and
• Testing of the model
using both in-sample test data and publicly available Wolfcamp data.
A pool of independent
(input) variables from the well dataset was analyzed to develop the model and
predict optimal spacing (the dependent variable). Some of the variables
considered were oil and gas EUR, initial and cumulative oil and gas production,
gasto- oil ratios, pounds of proppant, true vertical depth, injected fluid
volume, etc. The spacing model correlates the spacing variable “rectangular
overlap area” (ROA) to the well EUR and IPs. While we fitted a global model to
the output, we only report the results of the model for ROA in this paper.
Rectangular Overlap Area (ROA)
A software was used to
calculate the stacked spacings. Well locations and Total Vertical Depth (TVD),
and min and max values of Xf and Hf were used to determine ROA. Eqs. 1 through
5 and Figures B1 and B2 in the Appendix A illustrate spacing calculations.
Figure 5 shows that EUR declines with the increase of overlap between
horizontal wells due to interference. There is a linear relationship initially
between EUR and overlap for an overall range of 0-50 %, then decreases sharply
due to increase in well communications.
UR and cumulative IP
regression model
Figures 6 and 7 show
log-scale scatterplots of ROA vs. EUR and IP OIL (Initial Production of Oil for
150 days), smoothed via the LOESS (locally estimated scatterplot smoothing)
algorithm of Cleveland [27]. Figure 8 is similar, except the y-axis is the
average of EUR and IP OIL. These plots suggest that maximum values for both ROA
and IP OIL are obtained when log (ROA) is approximately 12.5, which implies an
optimum ROA of approximately exp (12.5) = 268,337 ft2. The results show a good
correlative fit (95% confidence interval) between 150-day oil IP and EUR, and
at least in this area of the Delaware Basin, the relationship between spacing
(ROA) and well performance is clear [28-35].
Conclusion
The main goal of the
paper was to introduce a model to correlate well-spacing variable with two
production metrics. We used the available pool of data of a total of 200
horizontal wells (privately owned) in the Wolfcamp to guide developing the
model. Our study concludes the following.
Maximum values for both
EUR and IP OIL are obtained when log (ROA) is approximately 12.5, which implies
an optimum ROA of approximately exp (12.5) = 268,337 ft2.
EUR drops with the
increase in overlap between horizontal wells due to interference. EUR shows a
linear relationship initially for an overall range of 0-50 %, then decreases
sharply due to increase in the communications.
The work suggests the
higher the overlap (ROA>60%) between wells, the lower expected IP for 150
days and EUR from the well. This leads to a spacing of 10 acres. This leads to
a development spacing of 10 acres, This leads to linear spacing between laterals
of 1580 feet.
The results show a good correlative fit (95% confidence interval) between 150-day oil IP and EUR, and at least in this area of the Delaware Basin, the relationship between spacing (ROA) and well performance is clear.
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