1. Field of the Disclosure
The present application relates to wellbore scanning and, in particular, to methods for determining features in a wellbore using a distributed temperature sensing system.
2. Description of the Related Art
Down-hole distributed temperature sensing (DTS) systems may be used to provide a distributed temperature survey along a wellbore. In various applications, DTS has been used to monitor thermal transitions induced by well operations or geological events, or to provide thermal information related to a geology of a formation. Different features of the formation may have different heat conductivities. Therefore, the thermal image that results from the differences in heat conductivity of the features may be used to identify the features. Currently, the ability of DTS systems to detect temperature changes is limited by the temperature sensitivity of the DTS sensor, which is on the order of 1 to 2 degrees Celsius. Perturbations on the order of millidegree level therefore may not be detectable using current DTS systems. Thus, in order to detect temperature variations in a wellbore using current DTS systems, it becomes necessary to induce temperature perturbations that are detectable using current DTS systems. Such temperature perturbations may produce stress on the downhole system which may be damaging to the downhole equipment.
In one aspect, the present disclosure provides a method of determining a feature in a wellbore, the method including: disposing a distributed temperature sensing system along the wellbore; inducing a thermal perturbation along the wellbore; determining a profile of temperature change in response to the applied thermal perturbation using the distributed temperature sensing system; and determining the feature of the wellbore using the measured temperature profile.
In another aspect, the present disclosure provides a system for determining a feature in a wellbore, including: a device configured to induce a thermal perturbation along the wellbore; a distributed temperature sensing system disposed along the wellbore and configured to obtain raw temperature data measurements in response to the induced thermal perturbation; a processor configured to: receive the temperature measurements from distributed temperature sensing system, determine a profile of temperature change along the wellbore in response to the induced thermal perturbation, and determine the feature of the wellbore using the determined temperature profile.
In yet another aspect, the present disclosure a non-transitory computer-readable medium including a set of instructions stored thereon which when accessed by a processor, enable the processor to perform a method of determining a feature in a wellbore, the method including: receiving a temperature measurement from a distributed temperature sensing system disposed along the wellbore, the temperature measurement in response to a thermal perturbation induced along the wellbore; determining a profile of temperature change in response to the applied thermal perturbation; and determining the feature of the wellbore using the measured temperature profile.
Examples of certain features of the apparatus and method disclosed herein are summarized rather broadly in order that the detailed description thereof that follows may be better understood. There are, of course, additional features of the apparatus and method disclosed hereinafter that will form the subject of the claims.
The present disclosure is best understood with reference to the accompanying figures in which like numerals refer to like elements and in which:
The DTS interrogator 110 obtains raw temperature measurements from the fiber optic cable 108 by generating a short laser pulse that is injected into the fiber optic cable 108 and receiving optical signals from the fiber optic cable 108 in response to the laser pulse injected therein. The obtained optical signals are indicative of temperature. In one embodiment, Raman scattering in the fiber optic cable 108 occurs while the laser pulse travels along the fiber optic cable 108, resulting in a pair of Stokes and anti-Stokes peaks. The anti-Stokes peak is highly responsive to a change in temperature while the Stokes peak is not. A relative intensity of the two peaks therefore provides a measurement indicative of temperature change. The back-reflected Raman scattering (i.e., the Stokes and anti-Stokes peaks) may thus transmit the temperature information of a virtual sensor while the laser pulse is travelling through the fiber optic cable 108. The location of the virtual sensor is determined by the travel time of the returning optical pulse from the DTS interrogator 110 to the virtual sensor and back.
The DTS interrogator 110 therefore obtains raw temperature measurement data (raw data) and sends the raw data to the HR DTS processor 112. The DTS processor 112 performs various methods disclosed herein for increasing a resolution of raw temperature measurements, among other things. The HR DTS processor 112 may include a processor 114 for performing the various calculations of the methods disclosed herein. The HR DTS processor 112 may further include a memory device 116 for storing various data such as the raw data from the DTS interrogator 112 and various calculated results obtained via the methods disclosed herein. The memory device 116 may further include programs 118 containing a set of instructions that when accessed by the processor 114, enable the processor 114 to perform the methods disclosed herein. The HR DTS processor 112 may provide results of the calculations to the memory device 116, a display 120 or to one or more users 122. In various embodiments, the HR DTS processor 112 may wrap the resulting high-resolution DTS data into a managed data format that may be delivered to the users 122. The HR DTS processor 112 may be in proximity to the DTS interrogator 110 to reduce data communication times between the HR DTS processor 112 and the DTS interrogator 110. Alternatively, the HR DTS processor 112 may be remotely connected to the DTS interrogator 110 through a high-speed network.
The raw data obtained at the DTS interrogator 110 may include noises at levels that are in a range from one to several degrees Celsius. Such noises may originate due to attenuation loss, noise in the data acquisition system, environmental temperature variations of the fiber optic cable, etc. In one embodiment, the HR DTS processor 112 of the present disclosure applies an adaptive filter disclosed herein to reduce those noises to thereby increase a resolution of the temperature measurements. In one embodiment, the temperature resolution of the data after the filtering methods described herein may be greater than the resolution of the raw temperature measurement data. In an exemplary embodiment, a resolution of raw temperature measurement data that is from about 0.5° C. to about 1.5° C. may be processed using the methods disclosed herein to obtain a post-filtered resolution of about ten millidegrees Celsius. In general, an increase in temperature resolution may be about two orders of magnitude. The adaptive filter is discussed further with respect to
Continuing with
In another embodiment, the perturbation source 130 may include a thermal perturbation source such as a heating cable which may be attached to the production tubing 106 or other member in the wellbore 102 and run along the wellbore 102. The heating cable may similarly be activated by the perturbation source 130 to generate a temperature pulse or perturbation that may propagate along the wellbore 102.
Returning to
For thermal perturbation scanning, the perturbation source 130 provides uniform thermal disturbance along a wellbore. The system 100 predominantly measures the differences in the conductivities of the fluids and the tubular along the heat flow path of the perturbation sequence. The system 100 therefore may measure distributed differentials in thermal conductivity of a completion string or the thermal properties of a fluid in production tubing 106. Since the immediate wellbore environment out of the heat conduction path may also affect the response, features of the immediate wellbore environment or near wellbore environment may also be determined.
The raw temperature measurements T(t) obtained from the system of
R(t,z|0<t<∞,−∞<z<∞) Eq. (1)
for which there exists a subspace
R
i,j(t,z|ti−n
(also referred to herein as Rij) where 2nt and 2nz are respectively the dimensions for a window defining this subspace within the two-dimensional measurement space.
If nt and nz are of a selected size, for a raw temperature measurement Ti+Δi,j+Δj which falls into the subspace Rij, a Taylor series expansion may be used to correlate measurements for the current window with that of the center point Tij of the subspace using the following expression:
where dt and dz are respectively the distances along the temporal axis and the spatial axis between two neighboring sensing points within the measurement space, as shown in
T
i+Δi,j+Δj={right arrow over (H)}i+Δi,j+Δj·{right arrow over (T)}i,j=Σk=05hΔi,Δjki,jk Eq. (4)
where {right arrow over (H)}i,j denotes a non-orthogonal transformation vector, and {right arrow over (T)}i,j denotes a vector containing the terms that are to be determined for the giving point (i,j). A linear reconstruction of the measurement Ti,j in the subspace Ri,j may be obtained by maximizing the energy compaction for the given transformation vector or, equivalently, by minimizing an expectation value of a linear estimator function:
Σk=05E[∥Γi,jk−{circumflex over (Γ)}i,jk∥2] Eq. (5)
where {circumflex over (Γ)}i,jk is the of Γi,jk and Γi,jk is a collection of the kth term of the decomposition of the temperature measurements in subspace Rij. In particular, Γi,jk are the elements of vector i,jk, as illustrated with respect to Eq. (8) below.
Referring back to Eq. (5),
Γi,jk=Γi,jk−1−{circumflex over (Γ)}i,jk−1 Eq. (6)
where Γi,j0={circumflex over (Γ)}i,j is the actual raw temperature measurement (Ti,j) in the measurement subspace and which may be a function of time and depth. Eq. (6) defines a generally time-consuming approach to the non-orthogonal transform problem, in which a kth representation is progressively obtained using the (k−1)th representation. However, the present disclosure speeds this process by using a single step approach in which the expectation of the linear estimator function (Eq. (5)) is rewritten as:
ΣΔi=−n
where i,j is a vector containing the following physical quantities:
defines a linear transfer function:
=H(HTH)−1HT Eq. (9)
with
Then, we can obtain the following solution
i,j=Γi,j Eq. (11)
This solution to the Taylor series decomposition may also be viewed as a 2-dimensional filter for digitally filtering the raw temperature measurement data. Since the higher-order terms (i.e., terms of order greater than 2) in the Taylor series decomposition are not considered, in Eq. (9) is only an approximate transfer function in which the approximation error depends on the size of subspace Rij. Therefore, a window size suitable for obtaining selected filtration results may be selected. An iterative self-adaptive algorithm, as shown in
Temperature signal T(t,z) 410 represents a raw DTS temperature measurement obtained from a DTS system which is an input signal to the filter system 300. Noise signal n(t,z) 412 indicates an unknown noise signal accompanying the temperature measurements 410 and which is also input to the filter system 400. In general, the temperature signal 410 and the noise signal 412 are indistinguishable in DTS systems and thus are input to filter 402 as a single measurement. In addition, noise signal n(t,z) 412 is often not constant but changes with changes in environment. Therefore, both temperature signal T(t,z) 410 and noise signal n(t,z) 412 are dependent on time and depth of the measurement location in the DTS system. Output signal 414 is a filtered output signal and may include multiple terms of the decomposition of Eq. (3), such as for
etc.
In one embodiment, the exemplary filter 402 is a self-adaptive filter using a dynamic window (such as data window 304 in
A criterion 404 may then be applied to the terms output from the filter 402 to determine an effectiveness of the filter 420. In one embodiment, the selected criterion may be a selected resolution of the temperature measurements or a selected resolution for a selected term of the decomposition. If the filtered terms are found to be within the selected resolution, the filtered terms may be accepted as output signals 414. Otherwise, the filter 402 may be updated at updating stage 406. Updating may include, for example, changing the dimensions of the measurements subspace Rij. In various embodiments, this decomposition process represents DTS measurement data as a Taylor series decomposition that includes terms having various levels of temperature resolution. The first order terms have a resolution that is greater than zero-order terms, etc. The first order terms, which are thermal derivatives in depth or time and the second order derivatives (i.e., variance with respect to depth, variance with respect to time and variance with respect to depth and time) may reach temperature resolutions up to several hundredths of a degree.
Although the methods are discussed with respect to temperature measurements, the present disclosure may also be applied to any suitable signal that is a continuous function measured in a two-dimensional measurement space. While the method is described with respect to a Taylor series decomposition (Eq. (3)), other numerical decompositions may be also used in various alternate embodiments.
One approach for determining wellbore features may include correlating the perturbation signal H(t) to the temperature signal T(t). Other thermal derivative data provided by a high resolution DTS may also be available to reveal additional feature information.
Therefore, in an exemplary embodiment, in order to detect flow assurance issues such as the presence of gas hydrate, multiple scans may be obtained at different times. A first scan may be obtained at a time when no flow assurance problems are within the production and may serve as a baseline scan. A second scan may then be run at another time or at a time of a known flow assurance problem. By comparing the first and second scans, the depth location of the assurance problem, e.g., a flow barrier, its type and/or its size may be identified. If a flow assurance issue is significant, it may be directly observed without taking the baseline scan.
In other embodiments, the technique may be further used to determine such as well integrity issues, gas/liquid or liquid/liquid interface, etc.
Therefore, in one aspect, the present disclosure provides a method of determining a feature in a wellbore, the method including: disposing a distributed temperature sensing system along the wellbore; inducing a thermal perturbation along the wellbore; determining a profile of temperature change in response to the applied thermal perturbation using the distributed temperature sensing system; and determining the feature of the wellbore using the measured temperature profile. Inducing the thermal perturbation further may include at least one of: generating a pressure perturbation in a fluid in the wellbore and generating the temperature perturbation using a heating element disposed along the wellbore. The pressure perturbation may include a pressure wave that propagates along the wellbore. The pressure wave may be generated by a pressure oscillator disposed at one of a downhole location and a surface location. The feature of the wellbore may be a component of a work string in the wellbore; a near wellbore feature of the formation; a gas hydrate formation in a fluid flowing in a production string in the wellbore; a flow assurance barrier; a liquid-liquid interface; a gas-liquid interface; an unexpected release of gases or fluids; a well leakage, etc. The feature may be determined with respect to a formation depth. When a magnitude of the induced thermal perturbation is less than a resolution of the distributed temperature sensing system, the method may perform data processing to obtain a temperature resolution of the thermal perturbation that is greater than the resolution of the distributed temperature sensing system. The obtained temperature resolution may be in a range from several millidegrees Celsius to several degrees Celsius, such as from about 1-2 millidegree Celsius to about 1-2 degrees Celsius.
In another aspect, the present disclosure provides a system for determining a feature in a wellbore, including: a device configured to induce a thermal perturbation along the wellbore; a distributed temperature sensing system disposed along the wellbore and configured to obtain raw temperature data measurements in response to the induced thermal perturbation; a processor configured to: receive the temperature measurements from distributed temperature sensing system, determine a profile of temperature change along the wellbore in response to the induced thermal perturbation, and determine the feature of the wellbore using the determined temperature profile. The device may be further configured to induce the thermal perturbation by at least one of: generating a pressure perturbation in a fluid in the wellbore, and activating a heating element disposed along the wellbore. The pressure perturbation may include a pressure wave that propagates along the wellbore. The device may be located at a downhole location or a surface location. The feature of the wellbore may be a component of a work string in the wellbore; a near wellbore feature of the formation; a gas hydrate formation in a fluid flowing in a production string in the wellbore; an other flow assurance barrier; a liquid-liquid interface; a gas-liquid interface; an unexpected release of gases or fluids; a well leakage, etc. The processor may further determine a formation depth of the feature. The device may induce a thermal perturbation with a magnitude less than a resolution of the distributed temperature sensing system. Thus, the processor performs digital processing to obtain a temperature resolution of the thermal perturbation that is greater than the resolution of the distributed temperature sensing system.
In yet another aspect, the present disclosure provides a non-transitory computer-readable medium including a set of instructions stored thereon which when accessed by a processor, enable the processor to perform a method of determining a feature in a wellbore, the method including: receiving a temperature measurement from a distributed temperature sensing system disposed along the wellbore, the temperature measurement in response to a thermal perturbation induced along the wellbore; determining a profile of temperature change in response to the applied thermal perturbation; and determining the feature of the wellbore using the measured temperature profile. The induced thermal perturbation may include a pressure perturbation generated in a fluid in the wellbore or a temperature perturbation generated using a heating element disposed along the wellbore. The pressure perturbation may further include a pressure wave that propagates along the wellbore. The feature of the wellbore may include: a component of a work string in the wellbore; a near wellbore feature of the formation; a gas hydrate formation in a fluid flowing in a production string in the wellbore; an other flow assurance barrier; a liquid-liquid interface; a gas-liquid interface; an unexpected release of gases or fluids; a well leakage, etc. The induced thermal perturbation may be less than a resolution of the distributed temperature sensing system. Thus, the method performs digital data processing to obtain a temperature resolution of the thermal perturbation that is greater than the resolution of the distributed temperature sensing system.
While the foregoing disclosure is directed to the preferred embodiments of the disclosure, various modifications will be apparent to those skilled in the art. It is intended that all variations within the scope and spirit of the appended claims be embraced by the foregoing disclosure.
The present application is a continuation-in-part of U.S. patent application Ser. No. 14/062,547, filed Oct. 24, 2013 and U.S. patent application Ser. No. 14/062,561, filed Oct. 24, 2013, the contents of which are incorporated herein by reference in their entirety.
Number | Date | Country | |
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Parent | 14062547 | Oct 2013 | US |
Child | 14068732 | US | |
Parent | 14062561 | Oct 2013 | US |
Child | 14062547 | US |