The invention relates to improved methods relating to quality control.
This may include quality control of interpreted structural information from in-well electromagnetic look around measurements or other in-well measurements in the volume surrounding the wellbore by combining these with interpreted seismic data in depth with uncertainties and with interpreted structural data from surrounding wells and the well itself.
UK Patent GB 2,467,687B describes a method of forming a geological model of a region of the Earth, which involves providing seismic data including seismic travel time uncertainty; providing a seismic velocity model of the region including velocity uncertainty; performing image ray tracing on the seismic data using the velocity model to determine the three dimensional positions of a plurality of points of the region; calculating three dimensional positional uncertainties of at least some of the points from the travel time uncertainty, the velocity uncertainty and uncertainty in ray propagation direction; and combining the determined positions with the calculated uncertainties to form a geological model.
UK Patent Application GB 2,486,877A describes a method of assessing the quality of subsurface position data and wellbore position data, comprising: providing a subsurface positional model of a region of the earth including the subsurface position data; providing a wellbore position model including the wellbore position data obtained from well-picks from wells in the region, each well-pick corresponding with a geological feature determined by a measurement taken in a well; identifying common points, each of which comprises a point in the subsurface positional model which corresponds to a well-pick of the wellbore position data; deriving an updated model of the region by adjusting at least one of the subsurface position data and the wellbore position data such that each common point has the most likely position in the subsurface positional model and the wellbore position data and has a local test value representing positional uncertainty; selecting some but not all of the common points and deriving a first test value from the local test values of the selected common points; providing a first positional error test limit for the selected common points; and comparing the first test value with the first test limit to provide a first assessment of data quality.
The invention provides a method of performing quality control on a subsurface model of a subterranean region, a method of performing a survey, a method of extracting hydrocarbons from a subsurface region of the earth, a method of drilling a wellbore, a computer readable medium, and a programmed computer, as set out in the accompanying claims.
Preferred embodiments will now be described, by way of example only, with reference to the accompanying drawings.
Each feature disclosed or illustrated in the present specification may be incorporated in the invention, whether alone or in any appropriate combination with any other feature disclosed or illustrated herein.
We start by describing the accompanying drawings in the context of methods for structural modelling for calculating the likely positions of structures in the earth's crust. This assists background understanding. We then describe methods relating to quality control.
A starting point for the described embodiments is that the position of at least one point in the volume of the subsurface around the wellbore is measured by different types of instruments placed along the bottom hole assembly (BHA) in the wellbore. Examples of such measurements are deep azimuthal resistivity measurements, ahead of bit resistivity measurements, acoustic measurements, and neutron density measurements. These instruments can measure contrasts in for example electric resistivity which can correspond to for instance oil-water contacts and the top of hydrocarbon reservoirs. Moreover, the positions of formation structures in a subsurface area covering the wellbore are measured via seismic surveys. Formation structures penetrated by the wellbore are measured and interpreted, and may also have been measured for other wellbores in the subsurface area. These measurements are called “well picks”.
Therefore at least three type of measurement may be used, namely in-well measurements around the wellbore, out-of-well seismic measurements, and well picks.
Well picks, subsurface features and near wellbore volume measurements are defined in
An acoustic velocity model is a model that quantifies the speed of sound for all the positions in the subsurface. The basic concept of velocity model building is to use the travel time of for instance time migrated acoustic waves to image the subsurface.
Assume that we have an acoustic velocity model available for the formation structures in the subsurface area. The velocities can be obtained using the relationship between time and depth (V=D/T) with the depth (D) as the geological well observations and the time (T) as the seismic interpretation. Assume that we have a seismic depth model available. A depth model is a collection of the coordinates and corresponding uncertainties of the subsurface structures. The depth model can be obtained by combining the velocity model with seismic data interpreted in the time domain. Assume that we also have available the measurements in the volume around the wellbore along with uncertainties of these measurements, and the well picks with uncertainties in three spatial dimensions. The uncertainties (statistical properties) of every spatial point in the depth model are represented by the covariance matrix. The covariance matrix consists of variances on the diagonal elements, and covariances on the off-diagonal elements. Covariances describe the statistical dependencies between coordinates. Similarly, the statistical dependencies between coordinates of spatial points (being a seismic point, a well pick, or a point measured in the volume around the wellbore) are expressed in terms of covariances of a joint covariance matrix.
We first make some comments relating to the directional surveys of the wellbore. The basic measurements are the length along the wellbore from a reference point at the surface, and the two directional components called inclination and azimuth. The inclination is defined as the deflection of the wellbore axis with respect to the gravity field vector, while the azimuth is the direction in the horizon plane with respect to north. A common method for measuring the direction of the wellbore is to use a magnetic MWD survey instrument. Such an instrument consists of accelerometers and magnetometers which measure components of the Earth's gravity field and the Earth's magnetic field, respectively. The accelerometer measurements are used to determine the inclination of the wellbore, whereas the azimuth is determined from the magnetometer measurements. The position of the wellbore is a function of inclination, azimuth and the length of the drillstring from a surface reference point.
It is possible to update the depth model and the corresponding full covariance matrix with interpreted structural information from 3D directional and distance measurements (and corresponding statistical properties) in the near volume around the wellbore, e.g. by the use resistivity measurements. A measurement of a point in the near volume around the wellbore with sensors in the BHA is illustrated in
It is possible to start by identifying one or more points of measurement in the near volume around the wellbore which correspond to structural formations in the depth model. The points can for example be interpreted from an image reflecting the electric resistivity of the volume surrounding the probing device. These points may be assigned with up to three dimensional spatial coordinates. The coordinates of such a point are estimated by using the survey of the wellbore as a reference combined with the resistivity model to find the relative distance and direction from a well reference point (determined from the above-mentioned survey of the wellbore) to the interpreted point (corresponding with a structural formation). Each such point in the structural formation must also be assigned with statistical properties, reflected in a point covariance matrix. This prior covariance matrix may be obtained by applying the law of covariance propagation on the three available types of positional information; the survey of the wellbore, the resistivity model, and the interpretation of the structural formation from the resistivity model. The measurements in the volume around the wellbore could be a collection of points which resembles a line or surface. In such a collection of points each point would potentially be correlated with all the other points. The correlation between points can be modeled by a joint covariance matrix for all consecutive measurement points in the near wellbore volume. This joint prior covariance matrix may be obtained by applying the law of covariance propagation on the three available types of positional information as described above.
All the available positional information (such as coordinates of well picks, coordinates of seismic points, coordinates of wellbore reference points and near wellbore volume measurements) may be mutually statistically dependent. Such types of correlations can be expressed by covariance components in a joint co-variance matrix. This joint prior covariance matrix may be obtained by applying the law of covariance propagation on available types of positional information.
The measured points in the near volume around the wellbore and well picks can be tied to the seismic depth model through constraining equations. A constraining equation expresses mathematically that the coordinates of a point measured from the wellbore (being either a well-pick or a near volume measurement) are equal to or differ with a certain defined distance from the corresponding point in the seismic depth model. The most probable positions of all the points in the depth model with corresponding statistical properties (which may be expressed by a covariance matrix) are calculated based on this redundant measurement information (using for instance a least squares estimation approach such as the one described in the patent EP1306694 by Torgeir Torkildsen). A least squares estimation approach may be applied for this purpose. In such a way the prior positional information is adjusted correctly based on its prior positional statistical properties.
The procedure of tying points measured from the wellbore with the seismic depth model may be summarized by the following steps:
The result is a depth model with statistical properties which are correctly adjusted based on all available positional information with corresponding statistical properties. This result may be applied to adjust the resistivity model accordingly and prepare for new measurements in the near wellbore volume. The overall workflow describing the a preferred embodiment is shown in
Based on accelerometer and magnetometer sensors in the Measurement While Drilling (MWD) survey package it is possible to determine the orientation of the BHA (including the EM sensor package) with respect to a global North, East and TVD coordinate system. It will then be possible to transform between coordinates in the local BHA-based coordinate system and the global North, East and TVD coordinate system.
Applications of the methods described will now be described.
The updated structural model can be applied to optimize the position of the drill bit in the pay-zone (i.e. the region producing hydrocarbons) in a while-drilling situation. Moreover, the updated model may be applied in the well planning phase for new wells in the region to provide more optimal well path placements for these. Finally, the updated model may be applied post drilling for creating a better understanding of the reservoir situation around the well, to optimize production in the production phase.
The figure to the right is now integrating both the drilled geological well observations and the deep resistivity well observations. This corresponds to the situation shown in
We now describe features relating to quality control.
As noted above, a starting point for embodiments described here is that the position of at least one point in the volume of the subsurface around the wellbore is measured by different types of instruments placed along the bottom hole assembly (BHA) in the wellbore.
Suppose that positional information (up to 3D) of seismic subsurface formation structures is available. This information may include interpretations of seismic reflectors as geological formation structures, an acoustic velocity field (up to 3 dimensions), and uncertainty models for the positions of the seismic reflectors and for the velocity field. An acoustic velocity model describes an estimated velocity of a subsurface medium which can be used to convert acoustic travel time to depth. The uncertainty models describe the positional uncertainties of the interpreted seismic reflectors, the uncertainty of the velocity fields, and the correlations between these. A covariance matrix is created by using the mathematical law of variance-covariance propagation through the linearized Gaussian uncertainty model scheme; i.e. the set of equations defining the propagation of sound waves are linearized through a Taylor series expansion from which the variances and covariances of the positions are estimated. This information (positions and corresponding covariance matrices) will herein be referred to as seismic interpretation data.
Suppose that it is possible to identify or interpret the positions of one or more of the subsurface structures described by the seismic interpretation data based on measurements (for example electric resistivity measurements) in the close range volume around the wellbore as described in
Subsurface positional information includes covariances, for example covariances between survey stations (at which drilling may be stopped every approx. 30 m to collect measurements) and geological formations. The correlations between position coordinates, which are measures of linear statistical dependency, are closely related to covariances. The covariance matrices are not restricted to 3*3 covariance matrices of NEV (North, East, Vertical) coordinates of individual points, but can also involve a complete covariance matrix which contains the correlations between NEV coordinates of each point of the entire subsurface model.
Assume that we have computer software and methodology available for combining three different types of information:
1) seismic interpretation data
2) close range wellbore information, and
3) well picks with corresponding uncertainties.
The software can estimate the most likely positions of subsurface formation structures with a corresponding full covariance matrix in 3D. This model will be called an updated subsurface model.
The methods described in the following will utilize the combined positional data for quality control of each type of measurements defined in points 1)-3) in the paragraph above.
Any of the methods described herein may also include the step of acquiring said three different types of data which may then be processed in accordance with the methods described.
A novel aspect of embodiments described here is to perform quality control of different types of subsurface positional information, such as; 1) coordinates and prior uncertainties of points which have been derived from seismic, 2) coordinates of points interpreted from measurements in the close range volume around the wellbore and the prior uncertainties of these coordinates, and 3) coordinates of well-picks derived from wellbore directional surveys and well logs, and a priori uncertainty of these coordinates and well logs. The collection of such points and the corresponding covariance matrix is called a subsurface model. This invention is to utilize multiple measurements of the same geological feature, i.e. redundant measurements, for quality control purposes. In this context, quality control is defined as procedures for detection of gross errors in any type of measurements in the groups 1), 2) and 3) above in addition to input parameters such as covariance matrices, depth reference systems, and human errors (such as interpretation errors, typing errors etc.).
The quality control (QC) approach will include two levels.
In the following the term “observation” will be used as a common expression for all types of measurements, like sensor readings and point coordinates of well picks and subsurface features.
Several data quality control test methods will be defined:
Test 1: General Data Consistency Test
The (known) general data consistency test is useful to evaluate the overall quality of positional information of both levels of QC (Level 1 sensor measurements and Level 2 coordinates) defined above when these are included in a subsurface model, either before drilling operations, whilst, or after drilling operations. This test is based on the residual sum of squares and the resulting estimated variance factor {circumflex over (σ)}2:
where ê is a vector of so-called residuals that reflect the agreement between initial and adjusted positions (where adjustments may be made by least squares estimation), Qee is the covariance matrix of measurement errors, and n-u is the degrees of freedom. (n is the number of measurements, u is the number of unknown coordinates, and T indicates “transposed”.) The general data consistency test evaluates whether the actual variance factor {circumflex over (σ)}2 is significantly different from its prior assumed value σ02. An example is illustrated in
The hypotheses for the general data consistency test can be expressed as follows:
H0: σ2=σ02 and HA: σ2≠σ02,
H0 is rejected at the given likelihood level α if:
where
denotes an upper (1-α/2) percentage point of a suitable statistical distribution at a specific number of degrees of freedom The test value can be found in statistical look-up tables. The distribution of the test-value has to be equal to the distribution of the test-limit. The likelihood parameter α is often called the significance level of the test, which is the likelihood of concluding that the observation data contain gross errors when in fact this is not the case. The likelihood level is therefore the probability of making the wrong conclusion, i.e. concluding that gross errors are present when they are not.
The estimated variance factor can be used as a basis for estimation of the actual noise of a particular group of sensor readings.
Test 2: Single Measurement Gross Error Test
The (known) single measurement gross error test procedure can be defined as follows:
Use a statistical testing procedure to evaluate whether a single sensor reading, a well-pick, or a geological feature point within the close range volume, is affected by a gross error. The test evaluates whether the gross error estimate is significantly different from a certain prior assumption, for instance zero.
The test for a gross error in the ith point or sensor measurement may be expressed by the two hypotheses:
H0: ∇i=0 and HA: ∇i≠0
where ∇i denotes the gross error that corresponds to the ith measurement or ith point. The gross error estimate in for instance the vertical direction can be estimated analytically using e.g. the method of least squares.
The test value for testing the two hypotheses H0 and HA is given by:
where σ{circumflex over (∇)} is the standard deviation of the estimator {circumflex over (∇)}i of the gross error.
The null hypothesis H0 is rejected when the test value t is greater than a specified test-limit tα/2. The test-limit tα/2 is the limit of which a given well-pick is classified as a gross error or not, and is the upper α/2 quantile of a suitable statistical distribution. If H0 is rejected this implies that the error is significantly different from zero and the conclusion is that the actual measurement or a point coordinate is affected by a gross error.
This test may be carried out in a successive manner, varying the index i from 1 to the total number of observations to be tested. Observations are in this context defined as single sensor readings, well picks, geological feature points, etc.
Test 3: Systematic Gross Error Test
By this test the quality of certain groups of measurements is verified simultaneously. Measurements can in this context be a group of well-picks or geological feature points within the close range volume, or they can be a group of close range volume measurements performed by the same or different types of sensors. The purpose with this test is to detect systematic errors affecting for instance a number of measurements performed by a certain sensor type. The test is especially relevant to detect systematic errors, for instance when several points or several sensor measurements are affected by the same error source(s).
This test procedure is performed in a similar successive manner as Test 2 described above, except that the bias parameter ∇ describes systematic errors instead of a single gross error. Thus, the main difference is that this test can detect gross errors which are common for several points or sensor measurements. This test may also be carried out in a successive manner, similarly to Test 2.
Test 4: Test For Systematic Errors and Gross Errors Simultaneously
This test can be considered as a combination of Test 2 and Test 3. The purpose of this test is to simultaneously detect systematic errors and/or individual gross errors in one or more groups of observations, by deriving one single test value only.
The starting point of this test procedure is that the user identifies a set of observations to be tested; gross errors in individual observations and gross systematic errors in groups of observations. These could be sensor measurements and points which are not proven to be gross errors by Test 2 and 3, but which the user suspects are affected by gross errors. The test concludes whether the selected observations will cause significant improvements to the overall quality of the observation data if they are excluded from the dataset.
By applying this test procedure, the user is able to estimate the magnitude of all these errors simultaneously, and perform a statistical test to decide whether all these well-picks simultaneously can be considered as gross errors.
The test can be summarized by the following steps:
a) Select which observations are to be tested.
b) Sort out which observations are believed to represent gross errors, and groups of observations that are believed to represent systematic errors.
c) Estimate the errors in the selected observations
d) Calculate the common test-value. This test-value is a function of the errors estimated in the previous step (step c.).
e) Check if the common test-value is greater than the test limit. If so, the selected observations constitute a gross model error that should be excluded from the dataset, otherwise not.
In step c) above the errors can be estimated using the method of least squares.
Workflow
Workflow steps prior to drilling application:
Workflow steps for while drilling and post drilling applications:
Alternative QC Approach—Increasing Prior Uncertainties
Instead of applying a statistical significance test to each observation in the data set and remove measurements which are declared as gross errors, another approach is to keep these observations in the data set and increase their prior uncertainties to reduce their influence on the final estimation result. The new value of the prior uncertainty (variance) can for instance be calculated as a function of the observation residual. An example is to assign a large variance to a measurement which has a large residual. The effect of this will be that this measurement, which is most likely noisier, will have reduced influence on the estimation result. This is reasonable as a gross error in an observation will most often be reflected in the size of the residual of that observation. This down-weighting principle will be applied to every observation in the data set. The final result is a modified covariance matrix of the observations, which reduces the influence of observations with gross errors.
We have described methods relating to QC of data outside a wellbore. The methods can also be applied for QC of well pick data (inside the wellbore) and seismic data.
The subsurface model may include well picks and seismic data. We can evaluate all this data together.
Various advantages arise when the methods described here are used for data quality control in the processes mentioned above. Improved data quality improves the decision basis for decisions about well placement which can improve sweet spot prediction and give more optimal positioning in the pay zone. An automatic and systematic approach as proposed here will significantly improve current manual procedures because the amounts of data and correlations between data are larger than single humans can handle. The methods provide advantages while drilling (QC new and existing wells, seismic), after drilling (QC important for production optimization), and in planning processes (qc existing wells, seismic).
Other possible application areas:
It should be appreciated that any of the methods described herein may also include the step of acquiring data, including seismic and/or electromagnetic data, which may then be processed in accordance with the method.
Relevant software for this application are
The invention includes a method of performing quality control on a subsurface model of a subterranean region, said method comprising:
providing a plurality of types of data relating to subsurface characteristics in said subsurface model outside of one or more wellbores in said region, said plurality of types of data including wellbore data obtained from one or more measurement instruments located within at least one of said one or more wellbores,
performing an analysis on said data to determine if there is an error or errors in said data;
if an error is detected, searching for the cause of said error;
if the cause of said error is detected, correcting said error;
if the cause of said error is not detected, either ignoring the data containing said error or including in said model the data containing said error and allocating to the data containing said error an increased prior uncertainty thus reducing the influence on said model of the data containing said error.
This method may be combined with the features of any of the accompanying claims.
Number | Date | Country | Kind |
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1616680.3 | Sep 2016 | GB | national |
Filing Document | Filing Date | Country | Kind |
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PCT/NO2017/050245 | 9/25/2017 | WO | 00 |