Specific embodiments of the invention will now be described in detail with reference to the accompanying figures. Like elements in the various figures are denoted by like reference numerals for consistency. Further, “ST” may be used to denote “Step.”
In the following detailed description of embodiments of the invention, numerous specific details are set forth in order to provide a more thorough understanding of the invention. However, it will be apparent to one of ordinary skill in the art that the invention may be practiced without these specific details. In other instances, well-known features have not been described in detail to avoid unnecessarily complicating the description.
In general, embodiments of the invention provide a method and system for obtaining an optimal well design. Specifically, a formation pore pressure model is generated using a formation temperature model. In one or more embodiments of the invention, the formation temperature model is generated using a borehole temperature model. An optimal well design is obtained based on the formation pore pressure model.
Optionally, in one or more embodiments of the invention, th e surface unit (135) may be configured to interact with the drilling rig (105). More specifically, the surface unit (135) may be configured to store data obtained at/from the drilling rig (105). For example, the surface unit (135) may store data collected at sensors (not pictured) located at (or operatively connected to) the drilling rig (105). In one or more embodiments of the invention, the surface unit (135) may store data in the surface unit data source (140). In one or more embodiments of the invention, the surface unit data source (140) is a data store (e.g., a database, a file system, one or more data structures configured in a memory, an extensible markup language (XML) file, some other method of storing data, or any suitable combination thereof), which may include information related to the drilling rig (105).
In one or more embodiments of the invention, the surface unit (135) may be configured to adjust oilfield operations at the drilling rig (105). More specifically, in one or more embodiments of the invention, the surface unit (135) may be configured to adjust a drilling fluid density (i.e., increasing or decreasing the drilling fluid density, for example mud density, as appropriate), adjust a drilling trajectory (e.g., to avoid an overpressured area, to pass through a low-pressure area, etc.), optimize the number of casing strings in the borehole (i.e., adding a casing string, delaying addition of a casing string, etc.), or any other similar type of adjustment.
In one or more embodiments of the invention, the modeling tool (145) may be configured to interact with the surface unit (135). More specifically, in one or more embodiments of the invention, the modeling tool (145) may be configured to receive data from the surface unit (135). For example, the modeling tool (145) may be configured to receive data associated with the drilling rig (105) from the surface unit (135). Alternatively, the modeling tool (145) may be configured to retrieve data from the surface unit data source (140).
In one or more embodiments of the invention, the pressure module (155) is configured to generate pressure models (e.g., mud-weight pressure model, formation pore pressure model, etc.). In one or more embodiments of the invention, a mud-weight pressure model corresponds to a model describing estimated mud-weight pressures for an area of interest. In one or more embodiments of the invention, a formation pore pressure model corresponds to a model describing estimated formation pore pressures for an area of interest. Further, in one or more embodiments of the invention, the pressure module (155) interacts with the modeling unit (180) to obtain a model for an area of interest. In this case, a pressure model may be obtained using the model for the area of interest. In one or more embodiments of the invention, the pressure module (155) is configured to receive pressure information from the surface unit (135). Alternatively, the pressure module (155) may be configured to obtain pressure information from the surface unit data source (140).
In one or more embodiments of the invention, the pressure module (155) is configured to generate pressure coefficients. In one or more embodiments of the invention, the pressure coefficients represent the correlation between formation temperature and formation pore pressure. In one or more embodiments of the invention, the pressure module (155) is configured to obtain formation temperature models from the temperature module (150).
In one or more embodiments of the invention, the temperature module (150) is configured to generate temperature models (e.g., borehole temperature model, formation temperature model, etc.). In one or more embodiments of the invention, a borehole temperature model corresponds to a model describing estimated borehole temperatures across an area of interest. In one or more embodiments of the invention, a formation temperature model corresponds to a model describing estimated formation temperatures across an area of interest. Further, in one or more embodiments of the invention, the temperature module (150) interacts with the modeling unit (180) to obtain a model for an area of interest. In this case, a temperature model may be obtained using the model for the area of interest. In one or more embodiments of the invention, the temperature module (150) may be configured to receive temperature information from the surface unit (135). Alternatively, the temperature module (150) may be configured to obtain temperature information from the surface unit data source (140).
In one or more embodiments of the invention, the temperature module (150) is configured to generate temperature coefficients. In one or more embodiments of the invention, the temperature coefficients represent the correlation between vertical stress and borehole temperature. In one or more embodiments of the invention, the temperature module (150) is configured to obtain vertical stress models from the stress module (170).
In one or more embodiments of the invention, the temperature module (150) is configured to identify subsets of a formation temperature model. More specifically, the temperature module (150) may be configured to identify a subset of a formation temperature model based on criteria.
In one or more embodiments of the invention, the stress module (170) is configured to generate vertical stress models. In one or more embodiments of the invention, a vertical stress model corresponds to a model describing vertical stress for an area of interest. Further, in one or more embodiments of the invention, the stress module (170) interacts with the modeling unit (180) to obtain a model for an area of interest. In this case, a vertical stress model may be obtained using the model for the area of interest. In one or more embodiments of the invention, the stress module (170) is configured to obtain density models from the density module (175).
In one or more embodiments of the invention, the density module (175) is configured to generate density models. In one or more embodiments of the invention, a density model corresponds to a model describing estimated density for an area of interest. Further, in one or more embodiments of the invention, the density module (175) interacts with the modeling unit (180) to obtain a model for an area of interest. In this case, a density model may be obtained using the model for the area of interest. In one or more embodiments of the invention, the density module (175) may be configured to receive density information from the surface unit (135). Alternatively, the density module (175) may be configured to obtain density information from the surface unit data source (140).
In one or more embodiments of the invention, the modeling unit (180) is configured to obtain a proposed well plan. More specifically, the modeling unit may be configured to obtain a proposed well plan based on the model(s) (e.g., a formation temperature model, a formation pore pressure model, etc.). In one or more embodiments of the invention, the proposed well plan includes, but is not limited to, a location to commence drilling on the seafloor, a trajectory of a proposed well at the location, a number of casing to use while drilling the well, the location at which each of the casing should be inserted into the well, the mud weight density (densities) to use while drilling the well, and the locations in the area of interest to avoid (for example, because the locations are over pressured) while drilling.
In one or more embodiments of the invention, the depth module (160) is configured to provide water depth information to the density module (175), the stress module (170), the pressure module (155), and/or the temperature module (150). More specifically, the depth module (160) may be configured to provide the water depth at a particular location on the seafloor (115 in
Initially, a borehole temperature model for an area of interest is generated using water depth information and a vertical stress model (ST 302). Those skilled in the art will appreciate that the borehole temperature model may be generated using a variety of formulas. For example, borehole temperature (Tb) may be calculated using the following formula:
(Note that, in this and later equations of this form (e.g., equations 3 and 14), the W first sum could have a different number of terms to the second. The equation could have been written with the first sum over Q terms and the second over Q′ terms, where Q is not equal to Q′) where SV is vertical stress, zw is water depth, mT
Alternatively, borehole temperature may also be calculated based on any parameter that varies systemically with respect to vertical stress. For example, borehole temperature may be calculated based on vertical depth below the mudline. In this case, SV may be replaced by vertical depth below the mudline in equation (1). One embodiment for generating the bore temperature model is shown in
In ST 304, a formation temperature model is generated using the borehole temperature model. In one or more embodiments of the invention, formation temperature (Tf) may be calculated using the following formula:
T
f
=T
b
+δ
T (2)
where Tb is borehole temperature and δT is the average temperature bias. For example, borehole temperatures are typically 10-20° F. lower than the formation temperature of virgin rock. Alternatively, formation temperature may be more accurately calculated using a Horner plot of borehole temperatures. In one or more embodiments of the invention, the formation temperature may be calculated for each location in the area of interest to obtain the formation temperature model. Alternatively, the formation temperature may be calculated for a specific location or subset of the area of interest. The calculated formation temperatures may then be used to obtain, for example by interpolation or by geostatistical methods, the formation temperature model.
In one or more embodiments of the invention, a mud-weight pressure model is generated using pressure coefficients and the formation temperature model (ST 306). Those skilled in the art will appreciate that the mud-weight pressure model may be generated using a variety of formulas. For example, mud-weight pressure (P) may be calculated using the following formula:
where Tf is formation temperature, zw is water depth, mP
In one or more embodiments of the invention, pressure coefficients are obtained using observed pore pressure data. For example, pressure coefficients may be obtained by applying a least-squares minimization of a root-mean square prediction error (ξP) defined by the following formula:
and where μP
Those skilled in the art will appreciate that the observed pore pressure may be obtained by a variety of methods. For example, observed pore pressures at a location in an area of interest may be obtained using a MDT and/or an RFT.
Optionally, the pressure coefficients may be calibrated based on additional observed pore pressure data acquired during an oilfield operation (e.g., using Bayesian approach). In this case, the updated pressure coefficients may be based on a larger set of observed pore pressure data; therefore, the estimated mud-weight pressure calculated using, for example, equation (3) above may be more accurate.
Continuing with the discussion of
where P(Tf,zw) is mud-weight pressure, δP is the average pressure bias, and z is the subsurface vertical depth. In one embodiment of the invention, δP is within the range of 0.5 lb/gal-1 lb/gal. In one or more embodiments of the invention, a formation pore pressure may be calculated for each location in the area of interest to obtain the formation pore pressure model. Alternatively, a formation pore pressure may be calculated for a specific location or subset of the area of interest. The calculated formation pore pressures may then be used to obtain (for example, by interpolation) the formation pore pressure model.
In one or more embodiments of the invention, the formation pore pressure model may be used to adjust an oilfield operation (ST 310). In one or more embodiments of the invention, adjusting the oilfield operation may involve adjusting a drilling fluid density (i.e., increasing or decreasing the drilling fluid density, for example, mud weight density, as appropriate), adjusting a drilling trajectory (e.g., to avoid an overpressured area, to pass through a low-pressure area, etc.), optimizing the number of casing strings in the borehole (i.e., adding a casing string, delaying addition of a casing string, etc.), or any other similar type of adjustment. For example, the mud-weight density of an oilfield operation may be optimized based on the formation pore pressure model.
Optionally, in ST 312, a subset of the formation temperature model may be identified based on criteria. Those skilled in the art will appreciate that the criteria may specify a range of temperatures. For example, the criteria may specify a temperature from 150° F. to 200° F. In this example, the subset of the formation temperature model may correspond to a region with a higher likelihood of being overpressured.
In one or more embodiments of the invention, the oilfield operation may be adjusted based on the subset of the formation temperature model (ST 314). In one or more embodiments of the invention, adjusting the oilfield operation involves adjusting a drilling fluid density (i.e., increasing or decreasing the drilling fluid density, as appropriate), adjusting a drilling trajectory (e.g., to avoid an overpressured area, to pass through a low-pressure area, etc.), optimizing the number of casing strings in the borehole (i.e., adding a casing string, delaying addition of a casing string, etc.), or any other similar type of adjustment.
In one or more embodiments of the invention, the oilfield operation corresponds to a drilling operation (e.g., drilling a well), an exploration operation (e.g., locating producing reservoirs, locating regions which may have producing reservoirs, etc.), or a production operation (e.g., fluid extraction, completing a well, optimizing production of an existing well, etc.).
Initially, a density model for the area of interest may be generated using water depth information and observed density data (ST 402). Those skilled in the art will appreciate that the density model may be generated using a variety of formulas. For example, the sediment density (ρ) may be calculated using the following formula:
ρ=ρ0+a(z−zw)b (8)
where ρ0 is density at the seabed, zw is water depth, a and b are density coefficients, and z is the subsurface vertical depth (measured from sea surface (110 in
Equation 9 shows a version of equation 8 in accordance with one embodiment of the invention:
where z is the subsurface vertical depth and zw is water depth. Those skilled in the art will appreciate that the density coefficients in equation (9) may be updated using additional observed density data (e.g., using a Bayesian approach). For more information on the Bayesian approach, refer to U.S. Pat. No. 6,826,486 entitled “Methods and apparatus for predicting pore and fracture pressures of a subsurface formation” with Alberto Malinvemo listed as an inventor.
Those skilled in the art will appreciate that the density coefficients (e.g., a and b from equation (8)) may be obtained by inversion of observed density data (i.e., local calibration). Further, in one or more embodiments of the invention, the density model may be generated by using trend kriging, employing a relation in the form of equation (8), as a three-dimensional trend.
Continuing with the discussion of
where z is the subsurface vertical depth and ρ is density. In one or more embodiments of the invention a vertical stress may be calculated for each location in the area of interest to obtain the vertical stress model. Alternatively, a vertical stress may be calculated for a specific location or subset of the area of interest. The calculated formation vertical stresses may then be used to obtain, for example by interpolation or by geostatistical methods, the vertical stress model.
In one or more embodiments of the invention, temperature coefficients may be obtained using observed temperature data (ST 406). For example, temperature coefficients may be obtained by applying a least-squares minimization of a root-mean square prediction error (ξT) defined by the following formula:
and where μTk and βTk are temperature coefficients, SVk is the vertical stress at point k, Tk is the observed temperature at point k, and Q is the number of temperature coefficients. Those skilled in the art will appreciate that Q may be variable depending on the precision required for the temperature coefficients. For example, Q may be constant (i.e., 0), linear (i.e., 1), quadratic (i.e., 2), or some other dimension.
Optionally, the temperature coefficients may be updated based on additional observed temperature data acquired during an oilfield operation (e.g., a Bayesian approach). In this case, the updated temperature coefficients are based on a larger set of observed temperature data; therefore, the borehole temperature calculated using, for example, equation (13) below may be more accurate.
In ST 408, a borehole temperature model may be generated using water depth information, the vertical stress model, and the temperature coefficients. Those skilled in the art will appreciate that the borehole temperature model may be generated using a variety of formulas. For example, borehole temperature (Tb) may be calculated using the following formula:
where SV is vertical stress, zw is water depth, mT
One or more embodiments of the invention provide a means for accurately predicting a formation pore pressure using vertical stress and water depth. Accordingly, one or more embodiments of the invention may prevent formation fluids from entering a borehole, thereby preventing damage to the well and/or personnel operating a drilling rig. Further, one or more embodiments of the invention may prevent the financial overhead of prematurely inserting casing strings. One or more embodiments of the invention have an important application in exploration of an oilfield and in grading various prospects. For example, a knowledge of pore pressure can be used to examine the effectiveness of seals, the sealing potential of faults, and the hydraulic connectivity of a sedimentary basin.
The invention may be implemented on virtually any type of computer regardless of the platform being used. For example, as shown in
Further, those skilled in the art will appreciate that one or more elements of the aforementioned computer system (500) may be located at a remote location and connected to the other elements over a network. Further, t e invention may be implemented on a distributed system having a plurality of nodes, where each portion of the invention (e.g., stress sensitivity coefficient module, total stress module, pore pressure module, etc.) may be located on a different node within the distributed system. In one embodiment of the invention, the node corresponds to a computer system. Alternatively, the node may correspond to a processor with associated physical memory. The node may alternatively correspond to a processor with shared memory and/or resources. Further, software instructions to perform embodiments of the invention may be stored on a computer readable medium such as a compact disc (CD), a diskette, a tape, a file, or any other computer readable storage device. In addition, in one embodiment of the invention, the predicted pore pressure (including all the pore pressures calculated using the method described in
While the invention has been described with respect to a limited number of embodiments, those skilled in the art, having benefit of this disclosure, will appreciate that other embodiments can be devised which do not depart from the scope of the invention as disclosed herein. Accordingly, the scope of the invention should be limited only by the attached claims.
This application claims priority from U.S. Provisional Patent Application No. 60/836,099 entitled “Method, Apparatus and System for Pore Pressure Prediction from Temperature and Vertical Stress,” filed Aug. 7, 2006, in the names of Colin Michael Sayers and Lennert David den Boer, the entire contents of which are incorporated herein by reference.
Number | Date | Country | |
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60836099 | Aug 2006 | US |